diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..55b547b --- /dev/null +++ b/.gitignore @@ -0,0 +1,105 @@ +# Byte-compiled / optimized / DLL files +__pycache__/ +*.py[cod] +*$py.class + +# C extensions +*.so + +# Distribution / packaging +.idea +.Python +build/ +develop-eggs/ +dist/ +downloads/ +eggs/ +.eggs/ +lib/ +lib64/ +parts/ +sdist/ +var/ +wheels/ +*.egg-info/ +.installed.cfg +*.egg +MANIFEST + +# PyInstaller +# Usually these files are written by a python script from a template +# before PyInstaller builds the exe, so as to inject date/other infos into it. +*.manifest +*.spec + +# Installer logs +pip-log.txt +pip-delete-this-directory.txt + +# Unit test / coverage reports +htmlcov/ +.tox/ +.coverage +.coverage.* +.cache +nosetests.xml +coverage.xml +*.cover +.hypothesis/ +.pytest_cache/ + +# Translations +*.mo +*.pot + +# Django stuff: +*.log +local_settings.py +db.sqlite3 + +# Flask stuff: +instance/ +.webassets-cache + +# Scrapy stuff: +.scrapy + +# Sphinx documentation +docs/_build/ + +# PyBuilder +target/ + +# Jupyter Notebook +.ipynb_checkpoints + +# pyenv +.python-version + +# celery beat schedule file +celerybeat-schedule + +# SageMath parsed files +*.sage.py + +# Environments +.env +.venv +env/ +venv/ +ENV/ +env.bak/ +venv.bak/ + +# Spyder project settings +.spyderproject +.spyproject + +# Rope project settings +.ropeproject + +# mkdocs documentation +/site + +# mypy +.mypy_cache/ diff --git a/LICENSE b/LICENSE new file mode 100644 index 0000000..f288702 --- /dev/null +++ b/LICENSE @@ -0,0 +1,674 @@ + GNU GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + Preamble + + The GNU General Public License is a free, copyleft license for +software and other kinds of works. + + The licenses for most software and other practical works are designed +to take away your freedom to share and change the works. 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If not, see . + +Also add information on how to contact you by electronic and paper mail. + + If the program does terminal interaction, make it output a short +notice like this when it starts in an interactive mode: + + Copyright (C) + This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. + This is free software, and you are welcome to redistribute it + under certain conditions; type `show c' for details. + +The hypothetical commands `show w' and `show c' should show the appropriate +parts of the General Public License. Of course, your program's commands +might be different; for a GUI interface, you would use an "about box". + + You should also get your employer (if you work as a programmer) or school, +if any, to sign a "copyright disclaimer" for the program, if necessary. +For more information on this, and how to apply and follow the GNU GPL, see +. + + The GNU General Public License does not permit incorporating your program +into proprietary programs. If your program is a subroutine library, you +may consider it more useful to permit linking proprietary applications with +the library. If this is what you want to do, use the GNU Lesser General +Public License instead of this License. But first, please read +. diff --git a/Readme.md b/Readme.md new file mode 100644 index 0000000..e8970a8 --- /dev/null +++ b/Readme.md @@ -0,0 +1 @@ +Python tool for analyzing raw eye-tracking data from the Varjo VR and XR headsets. \ No newline at end of file diff --git a/arff_helper.py b/arff_helper.py new file mode 100644 index 0000000..d8d3307 --- /dev/null +++ b/arff_helper.py @@ -0,0 +1,152 @@ +from collections import OrderedDict +import arff +import warnings +import numpy as np +import numpy.lib.recfunctions as rfn + +class ArffHelper(object): + """ + The class is based on general arff handler with an extra keyword %@METADATA + (they are comment lines in the description, i.e. lines *before* the + `relation` keyword). + + Metadata fields contains metadata names and related values (separated by space characters). + + - Lines starting with "%" are comments, except for line starting with %@METADATA + - Lines starting with "@" that is followed by a word (without space), are considered + keywords. The available keywords are the following: + @RELATION: a string with the name of the data set. + @ATTRIBUTES: a list of attributes representing names of data columns + followed by the types of data. The available data types + are 'NUMERIC', 'REAL', 'INTEGER' or a list of string. + @DESCRIPTION: a string with the description of the data set. + @DATA: a list of data instances. The data should follow the order that + the attributes were presented. + - Metadata ('%@METADATA ' lines) can have any keys, but is not currently used + + """ + _METADATA_STRING = '@metadata' + _METADATA_COLUMNS_COUNT = 3 # @METADATA KEY VALUE + _METADATA_KEY_COLUMN = 1 # First key, + _METADATA_VALUE_COLUMN = 2 # then value + _ATTRIBUTES_TYPE = {'NUMERIC': np.float32, 'REAL': np.double, 'INTEGER': np.int64} + + def __init__(self): + pass + + # Public interface functions (I/O) + # + # I. Loading functions (from file or string) + # + + @staticmethod + def add_column(obj, name, dtype, default_value): + """ + Add a new column to @obj['data'] and a new attribute to @obj['attributes'] + (i.e. the name of the new column and the data type for this column). + This operation is performed in-place, so the @obj itself is changed. + + :param obj: arff object before adding new column. + :param name: name of the new column. + :param dtype: data type of the new column. + Available data types: + 'NUMERIC', 'REAL', 'INTEGER' or a list of strings (then it's a categorical column with + the provided values as options). + :param default_value: default value of the new column (we need to somehow assign the data in the new column). + :return: arff object with an additional column. + + """ + obj['data'] = ArffHelper.add_column_to_array(obj['data'], name, dtype, default_value) + obj['attributes'].append((name, dtype)) + + return obj + + @staticmethod + def add_column_to_array(arr, name, dtype, def_value): + """ + Add a new column to a structured numpy array. + + :param arr: numpy array before adding column. + :param name: name of the new column. + :param dtype: data type of the new column. + Available data types: + 'NUMERIC', 'REAL', 'INTEGER' or a list of strings (then it's a categorical column with + the provided values as options). + :param def_value: default value of the new column. + :return: numpy array with new column. + + """ + # check if def_value is in dtype + if type(def_value) == str and def_value not in dtype: + warnings.warn("The type of the default value is not the same as type of column data" + " or the default value is not in the list (date type provided is {})".format(name)) + + if name in arr.dtype.names: + raise ValueError('Array @arr already has a field {}'.format(name)) + + if arr.size != 0: + arr = rfn.append_fields(base=arr, + names=name, + data=[def_value] * len(arr), + dtypes=ArffHelper._convert_dtype_to_numpy(dtype), + usemask=False) + else: + # If @arr is empty, it should have been created with ArffHelper.create_empty() method, or in a similar + # fashion. In that case, it has a length (passed as a parameter at creation), but no elements. + arr = np.array([def_value] * len(arr), dtype=[(name, ArffHelper._convert_dtype_to_numpy(dtype))]) + return arr + + @staticmethod + def remove_column(obj, name): + """ + Remove a column with respective name from @obj['data'] and its attributes (@obj['attributes']). + + :param obj: arff object before adding new column. + :param name: name of the deleted column. + :return: arff object without the column @name. + + """ + deleted_column_index = [column_name for column_name, _ in obj['attributes']].index(name) + obj['attributes'].pop(deleted_column_index) + # keep just the remaining attributes + obj['data'] = rfn.drop_fields(base=obj['data'], + drop_names=name, + usemask=False) + return obj + + @staticmethod + def convert_data_to_structured_array(obj): + """ + Convert data in @obj['data'] into a structured numpy array according to the data type in + @obj['attributes']. + + :param obj: arff object before data conversion. + :return: arff object after data conversion. + + """ + d = np.dtype([(str(at[0]), ArffHelper._convert_dtype_to_numpy(at[1])) for at in obj['attributes']]) + obj['data'] = np.array([tuple(item) for item in obj['data']], dtype=d) + return obj + + @staticmethod + def _convert_dtype_to_numpy(data_type): + """ + Validate input @data_type as ARFF-supported data type and convert to numpy.dtype. + + :param data_type: input data_type, string. + Available data types: + 'NUMERIC', 'REAL', 'INTEGER' or a tuple of string (then it's a categorical attribute). + :return: converted numpy.dtype from input data_type. + + """ + if data_type in ArffHelper._ATTRIBUTES_TYPE.keys(): + return ArffHelper._ATTRIBUTES_TYPE[data_type] + else: + if type(data_type) == tuple: + max_length = max(map(len, data_type)) + else: + raise ValueError("Wrong data type in attributes. " + "It should be a list of strings or one of the data types in {}".format( + ', '.join(ArffHelper._ATTRIBUTES_TYPE.keys()))) + + return '= 0 \ + and times[onset] - times[onset_candidate] < param["MAXIMAL_DISTANCE_TO_SACCADE_MILLISEC"]: + if gaze_points['data'][onset_candidate]['EYE_MOVEMENT_TYPE'] == 'SACCADE': + # Found a saccade! The blink will start at the start of this saccade + sacc_index = gaze_points['data'][onset_candidate]['SACC_INTERVAL_INDEX'] + first_saccade_index = np.nonzero( + gaze_points['data']['SACC_INTERVAL_INDEX'] == sacc_index)[0][0] + onset = first_saccade_index + break + # otherwise just continue the search backwards + onset_candidate -= 1 + + # go forward in time and look for a saccade + offset_candidate = offset + while offset_candidate < len(times) \ + and times[offset_candidate] - times[offset] < param["MAXIMAL_DISTANCE_TO_SACCADE_MILLISEC"]: + if gaze_points['data'][offset_candidate]['EYE_MOVEMENT_TYPE'] == 'SACCADE': + # Found a saccade! The blink will end at the end of this saccade + sacc_index = gaze_points['data'][offset_candidate]['SACC_INTERVAL_INDEX'] + last_saccade_index = np.nonzero( + gaze_points['data']['SACC_INTERVAL_INDEX'] == sacc_index)[0][-1] + offset = last_saccade_index + break + # otherwise just continue the search forwards + offset_candidate += 1 + + if param["VERBOSE"]: + print("Extended it to {} {}".format(times[onset], times[offset])) + + # remove gaps in data that are to short to be blinks. + if times[offset] - times[onset] < param['MINIMAL_BLINK_DURATION']: + gaze_points['data'][onset:offset + 1]['EYE_MOVEMENT_TYPE'] = 'NOISE' + else: + gaze_points['data'][onset:offset + 1]['EYE_MOVEMENT_TYPE'] = 'BLINK' + # this is not a saccade anymore + gaze_points['data'][onset:offset + 1]['SACC_INTERVAL_INDEX'] = -1 + # nor is it a normal sequence between saccades + gaze_points['data'][onset:offset + 1]['INTERSACC_INTERVAL_INDEX'] = -1 + + return gaze_points diff --git a/calculators.py b/calculators.py new file mode 100644 index 0000000..5e84cc0 --- /dev/null +++ b/calculators.py @@ -0,0 +1,251 @@ +import numpy +import numpy as np + + +def fixation(x, y, time, events): + """Calculate fixation measures + + arguments + time - numpy array of EyeTribe timestamps + events - numpy array of of detected gaze events + + returns + Fixations - list of lists, each containing [starttime, endtime, duration, endx, endy] + """ + + # empty list to contain data + Fixations = [] + + # check where the missing samples are + idx = numpy.array(events == 'FIX', dtype=int) + + # check where the starts and ends are (+1 to counteract shift to left) + diff = numpy.diff(idx) + starts = numpy.where(diff == 1)[0] + 1 + ends = numpy.where(diff == -1)[0] + 1 + + # delete detected starts and ends from before and after recording + if idx[-0] == 1: + starts = starts[0:-1] + if idx[0] == 1: + ends = ends[1::] + if len(starts) > len(ends): + ends = np.append(ends, len(idx) - 1) + + # compile fixation starts and ends + for i in range(len(starts)): + # get starting index + s = starts[i] + # get ending index + if i < len(ends): + e = ends[i] + elif len(ends) > 0: + e = ends[-1] + else: + e = -1 + + # add ending time + xpos = np.mean([x[s], x[e]]) + ypos = np.mean([y[s], y[e]]) + duration = time[e] - time[s] + Fixations.append([time[s], time[e], duration, xpos, ypos]) + + Fixations = numpy.array(Fixations) + if Fixations.any(): + numFix = len(Fixations) + avgFix = 1000 * sum(Fixations[:, 2]) / numFix + print('Number of fixations: ' + str(numFix)) + print(' Average fixation duration: ' + str(avgFix) + 'ms') + + return Fixations + + +def saccade(x, y, v, time, events): + """Calculate Saccade measures + + arguments + + x - numpy array of x positions + y - numpy array of y positions + v - numpy array of velocities + time - numpy array of tracker timestamps in milliseconds + events - numpy array of of detected gaze events + + returns + Saccades - list of lists, each containing [starttime, endtime, duration, startx, starty, endx, endy, amplitude, meanvel, maxvel])] + """ + + # empty list to contain data + Saccades = [] + + # check where the missing samples are + idx = numpy.array(events == 'SACCADE', dtype=int) + + # check where the starts and ends are (+1 to counteract shift to left) + diff = numpy.diff(idx) + starts = numpy.where(diff == 1)[0] + 1 + ends = numpy.where(diff == -1)[0] + 1 + + # delete detected starts and ends from before and after recording + if idx[-0] == 1: + starts = starts[0:-1] + if idx[0] == 1: + ends = ends[1::] + if len(starts) > len(ends): + ends = np.append(ends, len(idx) - 1) + + # compile saccade starts and ends + for i in range(len(starts)): + # get starting index + s = starts[i] + # get ending index + if i < len(ends): + e = ends[i] + elif len(ends) > 0: + e = ends[-1] + else: + e = -1 + + # writing data + duration = time[e] - time[s] + amplitude = ((x[s] - x[e]) ** 2 + (y[s] - y[e]) ** 2) ** 0.5 + meanvel = sum(v[s:e]) / len(v[s:e]) + maxvel = max(v[s:e]) + + Saccades.append([time[s], time[e], duration, x[s], y[s], x[e], y[e], amplitude, meanvel, maxvel]) + + Saccades = numpy.array(Saccades) + if Saccades.any(): + numSac = len(Saccades) + avgSacT = 1000 * sum(Saccades[:, 2]) / numSac + avgSacA = sum(Saccades[:, 7]) / numSac + avgSacV = sum(Saccades[:, 8]) / numSac + avgSacMV = sum(Saccades[:, 9]) / numSac + print('Number of saccades: ' + str(numSac)) + print(' Average saccades duration: ' + str(avgSacT) + ' ms') + print(' Average saccades Amplitude: ' + str(avgSacA) + ' deg') + print(' Average saccades velocity: ' + str(avgSacV) + ' deg/s') + print(' Average max saccades velocity: ' + str(avgSacMV) + ' deg/s') + + return Saccades + + +def persuit(x, y, v, time, events): + """Calculates Persuit measures + arguments + + x - numpy array of x positions + y - numpy array of y positions + v - numpy array of velocities + time - numpy array of tracker timestamps in milliseconds + events - numpy array of of detected gaze events + + returns + Persuits - list of lists, each containing [starttime, endtime, duration, startx, starty, endx, endy, amplitude, meanvel, maxvel])] + """ + # empty list to contain data + Persuits = [] + + # check where the missing samples are + idx = numpy.array(events == 'SP', dtype=int) + + # check where the starts and ends are (+1 to counteract shift to left) + diff = numpy.diff(idx) + starts = numpy.where(diff == 1)[0] + 1 + ends = numpy.where(diff == -1)[0] + 1 + + # delete detected starts and ends from before and after recording + if idx[-0] == 1: + starts = starts[0:-1] + if idx[0] == 1: + ends = ends[1::] + if len(starts) > len(ends): + ends = np.append(ends, len(idx) - 1) + + # compile persuit starts and ends + for i in range(len(starts)): + # get starting index + s = starts[i] + # get ending index + if i < len(ends): + e = ends[i] + elif len(ends) > 0: + e = ends[-1] + else: + e = -1 + + # writing data + duration = time[e] - time[s] + amplitude = ((x[s] - x[e]) ** 2 + (y[s] - y[e]) ** 2) ** 0.5 + meanvel = sum(v[s:e]) / len(v[s:e]) + maxvel = max(v[s:e]) + + Persuits.append([time[s], time[e], duration, x[s], y[s], x[e], y[e], amplitude, meanvel, maxvel]) + + Persuits = numpy.array(Persuits) + if Persuits.any(): + numSP = len(Persuits) + avgSPT = 1000 * sum(Persuits[:, 2]) / numSP + avgSPA = sum(Persuits[:, 7]) / numSP + avgSPV = sum(Persuits[:, 8]) / numSP + avgSPMV = sum(Persuits[:, 9]) / numSP + print('Number of Smooth Persuits: ' + str(numSP)) + print(' Average persuit duration: ' + str(avgSPT) + 'ms') + print(' Average persuit Amplitude: ' + str(avgSPA) + ' deg') + print(' Average persuit velocity: ' + str(avgSPV) + ' deg/s') + print(' Average max persuit velocity: ' + str(avgSPMV) + ' deg/s') + + return Persuits + + +def blink(time, events): + """Calculates Blink measures + arguments + time - numpy array of EyeTribe timestamps + + returns + Blinks - list of lists, each containing [starttime, endtime, duration] + events - numpy array of of detected gaze events + """ + # empty list to contain data + Blinks = [] + + # check where the missing samples are + idx = numpy.array(events == 'BLINK', dtype=int) + + # check where the starts and ends are (+1 to counteract shift to left) + diff = numpy.diff(idx) + starts = numpy.where(diff == 1)[0] + 1 + ends = numpy.where(diff == -1)[0] + 1 + + # delete detected starts and ends from before and after recording + if idx[-0] == 1: + starts = starts[0:-1] + if idx[0] == 1: + ends = ends[1::] + if len(starts) > len(ends): + ends = np.append(ends, len(idx) - 1) + + # compile blink starts and ends + for i in range(len(starts)): + # get starting index + s = starts[i] + # get ending index + if i < len(ends): + e = ends[i] + elif len(ends) > 0: + e = ends[-1] + else: + e = -1 + + # add ending time + Blinks.append([time[s], time[e], time[e] - time[s]]) + + Blinks = numpy.array(Blinks) + if Blinks.any(): + numBlk = len(Blinks) + avgBlk = 1000 * sum(Blinks[:, 2]) / numBlk + print('Number of blinks: ' + str(numBlk)) + print(' Average blink duration: ' + str(avgBlk) + 'ms') + + return Blinks diff --git a/fixation_detector.py b/fixation_detector.py new file mode 100644 index 0000000..94462d3 --- /dev/null +++ b/fixation_detector.py @@ -0,0 +1,169 @@ +import copy +import math +import numpy as np +from arff import xrange + +import functions +from arff_helper import ArffHelper + +def FixationDetector(param, gaze_points, inplace=False): + """ + Identify and label fixation intervals as 'FIX' and some others as 'NOISE'. + + Fixation identification includes the following steps: + - First, all inter-saccadic intervals with a dispersion of less than + a certain spread threshold (@param["PREFILTERING_INTERVAL_SPREAD_THRESHOLD_DEGREES"] are marked as fixations. + - Then, a temporal window (@param["SLIDING_WINDOW_WIDTH_MILLISEC"]ms) is shifted across the + remaining data and a non-fixation onset (offset) is marked every + time speed rises above (fell below) threshold (@param["SPEED_THRESHOLD_DEGREES_PER_SEC"]. + - There are two ways for speed calculation: spread and speed. + -'speed': speed from start point to end point is larger than + threshold. + -'spread': maximum moving speed of either x or y is larger than + threshold. + Data with speed below threshold are labeled as 'FIX'. + - Finally, non-fixation episodes longer than @param["MINIMAL_SP_DURATION_MILLISEC"]are kept as 'UNKNOWN', + the shorter ones are labeled as 'NOISE' (these are fairly dynamic episodes that however should not be SP). + + :param gaze_points: arff object with saccades detected (and intersaccadic intervals labelled) + :param inplace: whether to replace the data inside @gaze_points or create a new structure + :return: arff object with data labeled as 'FIX' and 'NOISE'. Some 'UNKNOWN' labels are kept for the next stage. + + """ + if not inplace: + gaze_points = copy.deepcopy(gaze_points) + # add a global index column (to keep track of where we are even if working within an intersaccadic interval) + gaze_points = ArffHelper.add_column(gaze_points, name='global_index', dtype='INTEGER', default_value=-1) + gaze_points['data']['global_index'] = np.arange(gaze_points['data'].shape[0]) + + # I. First step of fixation removal: rough prefiltering + speed_thd = param["SPEED_THRESHOLD_DEGREES_PER_SEC"] + prefiltering_spread_thd = param["PREFILTERING_INTERVAL_SPREAD_THRESHOLD_DEGREES"] + + # record intersaccadic interval indices of those intervals that are not labelled as FIX by the prefiltering + unknown_interval_index = [] + unknown_interval_masks = [] + for i in xrange(max(gaze_points['data']['INTERSACC_INTERVAL_INDEX']) + 1): + mask = gaze_points['data']['INTERSACC_INTERVAL_INDEX'] == i + intersacc_interval = gaze_points['data'][mask] + if len(intersacc_interval) == 0: + continue + + dispersion = [max(intersacc_interval['x']) - min(intersacc_interval['x']), + max(intersacc_interval['y']) - min(intersacc_interval['y'])] + + if any(thd >= prefiltering_spread_thd for thd in dispersion): + unknown_interval_index.append(i) # keep unknown + unknown_interval_masks.append(mask.copy()) # cache the indexing + else: + gaze_points['data']['EYE_MOVEMENT_TYPE'][mask] = 'FIX' + + # II. Second step of fixation removal: finer prefiltering + # + + for i, interval_mask in zip(unknown_interval_index, unknown_interval_masks): + # We record the borders of the non-FIX episodes to validate their duration. If the non-FIX episode is very + # short, we mark it as NOISE (not enough duration for a candidate for smooth pursuit) + onset_timestamp = None + onset_index = None + + intersacc_interval = gaze_points['data'][interval_mask] + intersacc_interval = functions.get_xy_moving_average(intersacc_interval, + param["NORMALIZATION_SLIDING_WINDOW_SIZE_SAMPLES"], + inplace=False) + + # for intervals shorter than @param["INTERSACCADIC_INTERVAL_DURATION_THRESHOLD_MILLISEC"] + # cannot do further filtering. The label remains 'UNKNOWN' + if intersacc_interval['time'][-1] - intersacc_interval['time'][0] < \ + param["INTERSACCADIC_INTERVAL_DURATION_THRESHOLD_MILLISEC"]: + continue + + # for intervals that longer than param["SLIDING_WINDOW_WIDTH_MILLISEC"] do further pre-filtering. + # Label data as 'FIX' or 'NOISE', or keep 'UNKNOWN' + else: + # window is shifted by 1 sample every time + for index, item in enumerate(intersacc_interval): + x_start = item['x'] + y_start = item['y'] + shift_window_interval = intersacc_interval[ + (intersacc_interval['time'] >= item['time']) * + (intersacc_interval['time'] <= item['time'] + param["SLIDING_WINDOW_WIDTH_MILLISEC"]) + ] + + # if distance between current data and the end of interval is shorter than + # param["SLIDING_WINDOW_WIDTH_MILLISEC"](i.e. if the end of the window matches the end of the + # intersaccadic interval), we keep the previous label if it was FIX, otherwise keep UNKNOWN + if shift_window_interval['time'][-1] == intersacc_interval['time'][-1]: + if intersacc_interval['EYE_MOVEMENT_TYPE'][index - 1] == 'FIX': + gaze_points['data']['EYE_MOVEMENT_TYPE'][ + (gaze_points['data']['time'] == item['time'])] = 'FIX' + + # we do not keep track of the non-fixation interval anymore since it will be all fixation + # until the end of the intersaccadic interval + onset_timestamp = None + onset_index = None + else: + # new non-fixation interval is starting + onset_timestamp = item['time'] + onset_index = item['global_index'] + + # if distance between current data and the end of interval is larger than window size, continue + # with the process + else: + # get window duration in seconds + period = (shift_window_interval['time'][-1] - shift_window_interval['time'][0]) * 1e-6 + + # is the fixation criterion satisfied? + fixation_flag = True + if param["SLIDING_WINDOW_CRITERION"] == 'speed': + # if the current speed is larger than speed threshold -- + # mark as onset(UNKNOWN, NOISE). else -- mark as offset(FIX) + x_end = shift_window_interval['x'][-1] + y_end = shift_window_interval['y'][-1] + + if math.sqrt((x_start - x_end) ** 2 + (y_start - y_end) ** 2) >= speed_thd * period: + # will not be a fixation + fixation_flag = False + else: # spread + # if either x_max - x_min or y_max - y_min is larger than speed threshold * time -- + # mark as onset. else -- mark as offset + x_max = max(shift_window_interval['x']) + x_min = min(shift_window_interval['x']) + y_max = max(shift_window_interval['y']) + y_min = min(shift_window_interval['y']) + + if max(x_max - x_min, y_max - y_min) >= speed_thd * period: + # will not be a fixation + fixation_flag = False + + if fixation_flag: + gaze_points['data']['EYE_MOVEMENT_TYPE'][item['global_index']] = 'FIX' + + # either a fixation start or the whole interval end + if fixation_flag or index == len(intersacc_interval) - 1: + # if we had a non-fixation interval going on before, check it's duration + if onset_index is not None: + # onset episode larger than 50ms: UNKNOWN. else: NOISE + if item['time'] - onset_timestamp < param["MIN_SP_DURATION_MILLISEC"]: + offset_timestamp = item['time'] - 1 + offset_index = item['global_index'] - 1 + # if this is not the beginning of fixation, + # the last item also should be labelled as NOISE + if not fixation_flag: + offset_timestamp += 1 + offset_index += 1 + + gaze_points['data'][onset_index:(offset_index + 1)]['EYE_MOVEMENT_TYPE'] = 'NOISE' + + # episode is finished + onset_timestamp = None + onset_index = None + else: + # if new non-fixation interval started + if onset_timestamp is None: + onset_timestamp = item['time'] + onset_index = item['global_index'] + # otherwise it just continues, don't have to do anything + # can now remove the global_index column + gaze_points = ArffHelper.remove_column(gaze_points, 'global_index') + return gaze_points diff --git a/functions.py b/functions.py new file mode 100644 index 0000000..371f5eb --- /dev/null +++ b/functions.py @@ -0,0 +1,150 @@ +import numpy as np +from arff_helper import ArffHelper +from collections import OrderedDict + +def load_CSV_as_arff_object(x, y, t, s, fname): + """ + Load data from the given input .csv file and return an arff object. + This is a "model" function for writing new data adapters. To create a similarly-functioning method, + one would need to parse the file under @fname to extract an an arff object (dictionary with special keys) + ofr the following structure: + + arff_obj = { + 'relation': 'gaze_recording', + 'description': '', + 'data': [], + 'metadata': {}, + 'attributes': [('time', 'NUMERIC'), + ('x', 'NUMERIC'), + ('y', 'NUMERIC'), + ('v', 'NUMERIC'), + ('statis', 'INTEGER'), + ('EventID', 'INTEGER']}, + and fill in its fields. + + 'data' should first contain a numpy list of lists (the latter lists should be of the same length as 'attributes'. + 'description' is just a string that gets put into the beginning of the file. + 'metadata' is a dictionary, where the following keys are needed later on: + - "width_px", "height_px" - pixel dimensions of the video + - "width_mm", "height_mm" - physical dimensions of the video (in millimeters) + - "distance_mm" - distance between the observer's eyes and the monitor (in millimeters) + 'attributes' (if additional ones are required) is a list of tuples, each tuple consisting of 2 elements: + - attribute name + - attribute type, can be INTEGER (=int64), NUMERIC (=float32), REAL (=double), or a list of strings, which + means it is a categorical attribute and only these values are accepted. + + After 'data' is filled with appropriate lists of values, call + >> arff_obj = ArffHelper.convert_data_to_structured_array(arff_obj) + to (unsurprisingly) convert the data in @arff_obj['data'] into a structured numpy array for easier data access. + + + :param fname: name of .coord file. + :return: an arff object with keywords: + "@RELATION, @DESCRIPTION, @DATA, @METADATA, @ATTRIBUTES". + """ + + COMMENT_PREFIX = '#' + # the 'gaze ... ...' line has this many "fields" (defines the video resolution) + GAZE_FORMAT_FIELD_COUNT = 0 + # Samples are in lines that look like . + # In case of binocular tracking, these are the mean coordinates of the two eyes anyway. + GAZE_SAMPLE_FIELDS = 3 + + arff_obj = { + 'relation': 'gaze_recording', + 'description': [], + 'data': [], + 'metadata': OrderedDict(), + 'attributes': [('time', 'NUMERIC'), + ('x', 'NUMERIC'), + ('y', 'NUMERIC'), + ('status', 'INTEGER')] + } + + description = "" + data = np.array([t, x, y, s]) + arff_obj['data'] = np.array([tuple(item) for item in np.transpose(data)]) + arff_obj['metadata']['filename'] = fname + arff_obj['description'] = '\n'.join(description) + + arff_obj = ArffHelper.convert_data_to_structured_array(arff_obj) + + # add velocity type attribute + arff_obj = ArffHelper.add_column(arff_obj, 'v', 'NUMERIC', 0.0) + + # add eye movement type attribute + EVENTS = ('UNKNOWN', 'FIX', 'SACCADE', 'SP', 'NOISE', 'BLINK', 'NOISE_CLUSTER', 'PSO') + arff_obj = ArffHelper.add_column(arff_obj, 'EYE_MOVEMENT_TYPE', EVENTS, EVENTS[0]) + + return arff_obj + +def get_xy_moving_average(data, window_size, inplace=False): + """ + Get moving average of 'x', 'y' columns of input data (the moving window is centered around the data point). + + Some data at the beginning and in the end will be left unchanged (where the window does not fit fully). + Thus the length of offset is equal to (window_size - 1)/2. + The rest of data will be replaced with central moving average method. + + :param data: structured numpy array that contains columns 'x' and 'y'. + :param window_size: width of moving average calculation. + :param inplace: whether to replace input data with processed data (False by default) + :return: data set with moving average applied to 'x' and 'y' columns. + + """ + assert window_size % 2 == 1, "The @normalization_sliding_window_size_samples parameter is set to {}, but it " \ + "has to be odd, so that we can centre the moving window around the current sample.".\ + format(window_size) + if not inplace: + data = data.copy() + offset = int((window_size - 1) / 2) + for column in ['x', 'y']: + res = np.cumsum(data[column], dtype=float) + res[window_size:] = res[window_size:] - res[:-window_size] + res = res[window_size - 1:] / window_size + if offset > 0: + data[column][offset:-offset] = res + else: + data[column][:] = res + return data + +def fill_blink_gaps(Tx, Ty, t, s,): + # find blinks for Varjo base recording by gaps in time array + dt = np.diff(t) + blink_onsets = np.nonzero(dt > 30)[0] + blink_offsets = np.array([blink + 1 for blink in blink_onsets]) + + #interpolate for each gap the x, y ,t and s data + if min(s) != 0: + shift = 0 + for onset, offset in zip(blink_onsets, blink_offsets): + onset += shift + offset += shift + + gaptime = t[offset] - t[onset] + npoints = int(gaptime/dt.mean()) + + # create patches + timepatch = np.linspace(t[onset], t[offset], npoints+2) + timepatch = timepatch[1:-1] + datapatch = np.zeros(npoints) + + # append the patches in the data arrays + t = np.insert(t, onset+1, timepatch) + Tx = np.insert(Tx, onset+1, datapatch) + Ty = np.insert(Ty, onset+1, datapatch) + s = np.insert(s, onset+1, datapatch) + + # shift indexes with patch length + shift += npoints + + return Tx, Ty, t, s + +def save_csv(data, fname, datapath): + allnames = ["t_start", 't_end', 'duration', 'x_start', 'y_start', 'x_end', 'y_end', 'amplitude', 'mean_vel', 'max_vel'] + names = allnames[0:len(data[1, :])] + delimiter = ',' + header = delimiter.join(names) + + np.savetxt(datapath+fname, data, delimiter=delimiter, header=header, comments='') + diff --git a/main.py b/main.py new file mode 100644 index 0000000..056f5bd --- /dev/null +++ b/main.py @@ -0,0 +1,74 @@ +import os +import matplotlib.pyplot as plt +import numpy as np +import readers +import calculators +import plotters +import functions +import run_detection + +debugging = False +savedata = False +showfig = True +savefig = False + +# Import csv files -------------------------------------------------------------------------------------------------- +datapath = os.getcwd() + "/testdata/" # put the path to your data here +participants = 2 +trails = 2 # per participant +filename = 'varjo_gaze_output' # + date (automatically added) + +for participant in range(1, participants + 1): + print() + print() + print('Analyisis results for participant {}'.format(participant)) + #start plot + fig, axs = plt.subplots(trails, figsize=[25.60, 14.40]) + fig.suptitle('Detection per trail for: Participant {}'.format(participant)) + + for trail in range(1, trails + 1): + trailpath = datapath + '{}/{}/'.format(participant,trail) + print() + print('Trail ' + str(trail)) + gazedata = readers.Gaze(datapath, participant, trail, filename) + pupildata = readers.Pupil(datapath, participant, trail, filename) + focusdata = readers.Focus(datapath, participant, trail, filename) + +# classify gaze events ---------------------------------------------------------------------------------------------- + classifiedgazedata = run_detection.DetectGazeEvents(gazedata, debugging) + + t = classifiedgazedata['data']['time'] / 1000 # [s] + x = classifiedgazedata['data']['x'] # [deg] + y = classifiedgazedata['data']['y'] # [deg] + v = classifiedgazedata['data']['v'] # [deg/s] + e = classifiedgazedata['data']['EYE_MOVEMENT_TYPE'] # ('UNKNOWN', 'FIX', 'SACCADE', 'SP', 'NOISE', 'BLINK', 'NOISE_CLUSTER', 'PSO') + + dt = 1000 / np.mean(np.diff(classifiedgazedata['data']['time'])) + print("Gaze data recorded at: {} Hz".format(dt)) + +# Analyzing and saving ---------------------------------------------------------------------------------------------- + Fixations = calculators.fixation(x, y, t, e) + Saccades = calculators.saccade(x, y, v, t, e) + Persuits = calculators.persuit(x, y, v, t, e) + Blinks = calculators.blink(t, e) + + if savedata: + functions.save_csv(Fixations, 'fixations.csv', trailpath) + functions.save_csv(Saccades, 'saccades.csv', trailpath) + functions.save_csv(Persuits, 'persuits.csv', trailpath) + functions.save_csv(Blinks, 'blinks.csv', trailpath) + +# Plotting and saving------------------------------------------------------------------------------------------------ + plotters.detection(x, y, t, v, Fixations, Saccades, Persuits, Blinks, trail, axs) + + plotters.calculation(Fixations, Saccades, Persuits, Blinks, trail, participant) + outputpath = trailpath + "calculation-p{}-t{}.png".format(participant,trail,participant,trail) + if savefig: plt.savefig(outputpath, bbox_inches='tight') + plt.close(plt.figure(trail+1)) + + plt.figure(1) + outputpath = datapath + '{}/detection-p{}.png'.format(participant, participant) + if savefig: plt.savefig(outputpath, bbox_inches='tight') + if showfig: plt.show() + plt.close(plt.figure(1)) + diff --git a/plotters.py b/plotters.py new file mode 100644 index 0000000..f0480b8 --- /dev/null +++ b/plotters.py @@ -0,0 +1,117 @@ +import matplotlib.pyplot as plt +import numpy as np +from scipy.stats import rayleigh +from scipy.stats import norm + +def detection(x, y, t, v, Fixations, Saccades, Persuits, Blinks, trail, axs): + + axs1 = axs[trail - 1] + axs1.set_title('Trail ' + str(trail)) + axs1.set_xlabel('Time [s]') + + axs1.plot(t, v, 'silver') + axs1.set_ylabel('Velocity [deg/s]') + axs1.set_ylim([-1000, 1000]) + axs1.legend(["Velocity"]) + + axs2 = axs1.twinx() + axs2.plot(t, x, 'tab:orange') + axs2.plot(t, y, 'tab:green') + axs2.set_ylabel('Angel [deg]') + axs2.set_ylim([-22.5, 22.5]) + axs2.legend(["Horizontal", "Vertical"]) + + for i in range(len(Fixations)): + axs1.axvspan(Fixations[i, 0], Fixations[i, 1], color='g', alpha=.1) + for i in range(len(Saccades)): + axs1.axvspan(Saccades[i, 0], Saccades[i, 1], color='r', alpha=.1) + for i in range(len(Persuits)): + axs1.axvspan(Persuits[i, 0], Persuits[i, 1], color='y', alpha=.1) + for i in range(len(Blinks)): + axs1.axvspan(Blinks[i, 0], Blinks[i, 1], color='b', alpha=.1) + + + +def calculation(Fixations, Saccades, Persuits, Blinks, trail, participant): + plt.figure(trail+1, figsize=[25.60, 14.40]) + plt.subplot(4, 4, 1) + histogramreighley(Fixations[:, 2]) + plt.title("Fixation duration") + plt.xlabel('Time [s]') + + plt.subplot(4, 4, 5) + histogramreighley(Saccades[:, 2]) + plt.title("Saccade duration") + plt.xlabel('Time [s]') + plt.subplot(4, 4, 6) + histogramreighley(Saccades[:, 7]) + plt.title("Saccade amplitude") + plt.xlabel('Amplitude [deg]') + plt.subplot(4, 4, 7) + histogramreighley(Saccades[:, 8]) + plt.title("Saccade mean velocity") + plt.xlabel('Velocity [deg/s]') + plt.subplot(4, 4, 8) + histogramreighley(Saccades[:, 9]) + plt.title("Saccade max velocity") + plt.xlabel('Velocity [deg/s]') + + plt.subplot(4, 4, 9) + histogramreighley(Persuits[:, 2]) + plt.title("Persuit duration") + plt.xlabel('Time [s]') + plt.subplot(4, 4, 10) + histogramreighley(Persuits[:, 7]) + plt.title("Persuit amplitude") + plt.xlabel('Amplitude [deg]') + plt.subplot(4, 4, 11) + plt.xlabel('Amplitude [deg]') + histogramreighley(Persuits[:, 8]) + plt.title("Persuit mean velocity") + plt.xlabel('Velocity [deg/s]') + plt.subplot(4, 4, 12) + histogramreighley(Persuits[:, 9]) + plt.title("Persuit max velocity") + plt.xlabel('Velocity [deg/s]') + + plt.subplot(4, 4, 13) + histogramreighley(Blinks[:, 2]) + plt.title("Blink duration") + plt.xlabel('Time [s]') + + plt.tight_layout() + +def histogramreighley(data): + N = len(data) + scale = data.mean() / np.sqrt(np.pi / 2) + V_norm_hist = scale * np.sqrt(-2 * np.log(np.random.uniform(0, 1, N))) + + num_bins = 30 + _binvalues, bins, _patches = plt.hist(V_norm_hist, bins=num_bins, density=False, rwidth=1, ec='white', + label='Histogram data') + x = np.linspace(bins[0], bins[-1], 100) + binwidth = (bins[-1] - bins[0]) / num_bins + + scale = V_norm_hist.mean() / np.sqrt(np.pi / 2) + + plt.plot(x, rayleigh(loc=0, scale=scale).pdf(x) * len(V_norm_hist) * binwidth, lw=5, alpha=0.6, + label=f'Rayleigh pdf (s={scale:.3f})') + plt.ylabel('samples [n]') + plt.grid(True) + plt.legend() + +def histogramfit(data): + # best fit of data + (mu, sigma) = norm.fit(data) + + # the histogram of the data + n, bins, patches = plt.hist(data, len(data), alpha=0.75) + + # add a 'best fit' line + y = norm.pdf(bins, mu, sigma) + l = plt.plot(bins, y, 'r--', linewidth=2) + + # plot + plt.ylabel('samples [n]') + plt.title(r'$\mathrm{Histogram\ of\ IQ:}\ \mu=%.3f,\ \sigma=%.3f$' % (mu, sigma)) + plt.grid(True) diff --git a/readers.py b/readers.py new file mode 100644 index 0000000..5e14e60 --- /dev/null +++ b/readers.py @@ -0,0 +1,59 @@ +import os + +import pandas +import math +import functions +import numpy as np + +def file_reader(path, participant, trail, filename): + # read data file + path = path + str(participant) + "/" + str(trail) + "/" + file = [i for i in os.listdir(path) if os.path.isfile(os.path.join(path, i)) and \ + filename in i] + + csvdata = pandas.read_csv(path + file[0], delimiter=',') + + return csvdata + +def Gaze(path, participant, trail, filename): + + gazeData = file_reader(path, participant, trail, filename) + fname = "P" + str(participant) + "_T" + str(trail) + + # Raw Gaze data + s = np.array(gazeData['status']) + x = np.array(gazeData['gaze_forward_x']) + y = np.array(gazeData['gaze_forward_y']) + z = np.array(gazeData['gaze_forward_z']) + + # get time stamps + t = gazeData['raw_timestamp'] / 10 ** 6 + t = np.array(t - t[0]) + + # convert to angles in deg + Tx = (180 / math.pi) * np.arcsin(x) + Ty = (180 / math.pi) * np.arcsin(y) + + # interpolate missing gaps in the data that represent Blinks (for Varjo Base recordings) + [Tx, Ty, t, s,] = functions.fill_blink_gaps(Tx, Ty, t, s) + + #convert data tor arff object for processing + gaze_points = functions.load_CSV_as_arff_object(Tx, Ty, t, s, fname) + + return gaze_points + +def Pupil(path, participant, trail, filename): + + gazeData = file_reader(path, participant, trail, filename) + + left = np.array(gazeData['left_pupil_size']) + right = np.array(gazeData['right_pupil_size']) + + return left, right + +def Focus(path, participant, trail, filename): + + gazeData = file_reader(path, participant, trail, filename) + focus = np.array(gazeData['focus_distance']) + + return focus diff --git a/run_detection.py b/run_detection.py new file mode 100644 index 0000000..d304f82 --- /dev/null +++ b/run_detection.py @@ -0,0 +1,82 @@ +from saccade_detector import SaccadeDetector +from blink_detector import BlinkDetector +from fixation_detector import FixationDetector +from sp_detector import SmoothPursuitDetector + +# DEFAULT PARAMETERS: +# { +# "SaccadeDetector": { +# "tolerance": 0.0, +# "threshold_onset_fast_degree_per_sec": 137.5, +# "threshold_onset_slow_degree_per_sec": 17.1875, +# "threshold_offset_degree_per_sec": 17.1875, +# "max_speed_degree_per_sec": 1031.25, +# "min_duration_millisec": 15, +# "max_duration_millisec": 160, +# "velocity_integral_interval_millisec": 40 +# }, +# "BlinkDetector": { +# "max_distance_to_saccade_millisec": 25 +# }, +# "FixationDetector": { +# "prefiltering_interval_spread_threshold_degrees": 1.4142135623730951, +# "min_sp_duration_millisec": 141.35623730952, +# "sliding_window_width_millisec": 100, +# "normalization_sliding_window_size_samples": 5, +# "speed_threshold_degrees_per_sec": 2.0, +# "sliding_window_criterion": "speed", +# "intersaccadic_interval_duration_threshold_millisec": 75 +# }, +# "SmoothPursuitDetector": { +# "min_pts": 160, +# "min_observers": null, +# "eps_deg": 4.0, +# "time_slice_millisec": 80 +# } +# } + +def DetectGazeEvents(gazedata, verbose): + # Saccade Detection -------------------------------------------------------------------------------------------------- + sacparam = dict() + sacparam["THRESHOLD_ONSET_FAST_DEGREE_PER_SEC"] = 137.5 # deg/s + sacparam["THRESHOLD_ONSET_SLOW_DEGREE_PER_SEC"] = 17.1875 # deg/s + sacparam["THRESHOLD_OFFSET_DEGREE_PER_SEC"] = 17.1875 # deg/s + sacparam["MAX_SPEED_DEGREE_PER_SEC"] = 1031.25 # deg/s + sacparam["MIN_DURATION_MILLISEC"] = 15 # milliseconds + sacparam["MAX_DURATION_MILLISEC"] = 160 # milliseconds + sacparam["VELOCITY_INTEGRAL_INTERVAL_MILLISEC"] = 4 # milliseconds + sacparam["VERBOSE"] = verbose # debug mode + gazedata = SaccadeDetector(sacparam, gazedata) + + # Blink detection---------------------------------------------------------------------------------------------------- + blkparam = dict() + blkparam['MINIMAL_BLINK_DURATION'] = 10 # milliseconds + blkparam["MAXIMAL_DISTANCE_TO_SACCADE_MILLISEC"] = 20 # milliseconds + blkparam["VERBOSE"] = verbose + gazedata = BlinkDetector(blkparam, gazedata) + + # Fixation detection------------------------------------------------------------------------------------------------- + fixparam = dict() + fixparam["PREFILTERING_INTERVAL_SPREAD_THRESHOLD_DEGREES"] = 1.4142135623730951 # deg + fixparam["MIN_SP_DURATION_MILLISEC"] = 141.42135623730952 # milliseconds + fixparam["SLIDING_WINDOW_WIDTH_MILLISEC"] = 100 # milliseconds + fixparam["NORMALIZATION_SLIDING_WINDOW_SIZE_SAMPLES"] = 5 # n samples + fixparam["SPEED_THRESHOLD_DEGREES_PER_SEC"] = 2 # deg/s + fixparam["SLIDING_WINDOW_CRITERION"] = 'speed' # 'speed' or 'spread' + fixparam["INTERSACCADIC_INTERVAL_DURATION_THRESHOLD_MILLISEC"] = 75 # milliseconds + fixparam["VERBOSE"] = verbose # debug mode + gazedata = FixationDetector(fixparam, gazedata) + + # Smooth Persuit detection------------------------------------------------------------------------------------------- + SPparam = dict() + SPparam["MIN_PTS"] = 1 # int(160 * (1 / 46.9) * (90 / 250)) # minimum points for a neighborhood (default value, e.g. 160) * (N_observers / 46.9) * (F_hz / 250) + SPparam["EPS_DEG"] = 4 # deg + SPparam["TIME_SLICE_MILLISEC"] = 80 # milliseconds + SPparam["VERBOSE"] = verbose # debug mode + + sp_detector = SmoothPursuitDetector(param=SPparam) + classifiedgazedata = sp_detector.detect(gaze_points_list=gazedata) + + return classifiedgazedata + + diff --git a/saccade_detector.py b/saccade_detector.py new file mode 100644 index 0000000..a0d8f52 --- /dev/null +++ b/saccade_detector.py @@ -0,0 +1,226 @@ +import copy +import numpy as np +from arff_helper import ArffHelper + +def SaccadeDetector(param, gaze_points, inplace=False): + """ + This method labels saccades (also noise) in the provided gaze_points, which should be an arff object + :param gaze_points: gaze recording data, an arff object (i.e. a dictionary with 'data', 'metadata' + and etc. keys) + :param inplace: whether to replace the data inside @gaze_points or create a new structure + :return: gaze points with added labels SACCADE, NOISE + """ + if not inplace: + gaze_points = copy.deepcopy(gaze_points) + + # also keep track of saccadic and intersaccadic intervals + detected_saccades_count = 0 + if 'SACC_INTERVAL_INDEX' not in gaze_points['data'].dtype.names: + ArffHelper.add_column(gaze_points, 'SACC_INTERVAL_INDEX', 'INTEGER', -1) + + # a virtual saccade that finished before the recording for uniform processing + last_saccade_end = -1 + intersaccadic_intervals_count = 0 + if 'INTERSACC_INTERVAL_INDEX' not in gaze_points['data'].dtype.names: + ArffHelper.add_column(gaze_points, 'INTERSACC_INTERVAL_INDEX', 'INTEGER', -1) + + # verify timestamps + times = gaze_points['data']['time'] + # -1 so that the exact value ends up on the right of the searched timestamp + searchable_timestamps = times - param["VELOCITY_INTEGRAL_INTERVAL_MILLISEC"] - 1 + # find the indices of the first + prev_indices = np.searchsorted(times, searchable_timestamps, side='right') + cur_indices = np.arange(len(prev_indices)) + # if the index after search points towards this very data point, take the previous one + prev_indices[prev_indices == cur_indices] -= 1 + # except for the very first sample + prev_indices[0] = 0 + + # computing velocities ---------------------------------------------------------------------------------------- + dx = gaze_points['data']['x'][cur_indices] - gaze_points['data']['x'][prev_indices] + dy = gaze_points['data']['y'][cur_indices] - gaze_points['data']['y'][prev_indices] + dTh = np.linalg.norm(np.vstack([dx, dy]), axis=0) + dt = gaze_points['data']['time'][cur_indices] - gaze_points['data']['time'][prev_indices] + # keep it above 0, the dTh are 0 there anyway + dt[dt == 0] += 1 + velocities = dTh / dt # deg per millisecond + velocities *= 1e3 # degree per second + gaze_points['data']['v'] = velocities + + # How many samples back is it reasonable to go? + time_step = np.diff(times).mean() + # a big margin of error, 10 times as many samples as would normally need + extra_samples_count = int(np.round((param["MAX_DURATION_MILLISEC"] * 10) / time_step)) + + # Glitch detection: glitches are definedb by velocities that exceed \a maxSpeed -------------------------------------------- + # (default currently set to ~1000 degrees/s) are regarded as glitches and labelled as noise + is_glitch = np.zeros(gaze_points['data'].shape[0], dtype=np.bool) + is_glitch[velocities > param["MAX_SPEED_DEGREE_PER_SEC"]] = True + gaze_points['data']['EYE_MOVEMENT_TYPE'][velocities > param["MAX_SPEED_DEGREE_PER_SEC"]] = 'NOISE' + + # Remember first sample after glitch: + # to prevent saccade detection at the first non-glitch sample + # that follows, saccade detection is inhibited for that first sample. + post_glitch = np.diff(is_glitch.astype(int)) == -1 + post_glitch = np.hstack(([False], post_glitch)) + # Remember last sample before glitch: + # since we normally would suspend the other criteria (incl. speed) if we are inside glitch, we try to avoid + # border effects in both next-after and last-before glitch samples + pre_glitch = np.diff(is_glitch.astype(int)) == 1 + pre_glitch = np.hstack((pre_glitch, [False])) + all_glitch = is_glitch + post_glitch + pre_glitch + # we will assign glitch samples' labels to NOISE after the saccades have been detected + + # recompute speeds for post-glitch samples + pre_glitch_indices = np.nonzero(pre_glitch)[0] + for i in np.nonzero(post_glitch)[0]: + # find the corresponding start of the glitch + corresponding_pre_glitch = np.searchsorted(pre_glitch_indices, i) - 1 + if corresponding_pre_glitch < 0: + # no correspondence found, it's the glitch from the beginning of recording ==> set velocity to 0 + velocities[i] = 0 + else: + # found a completed glitch + velocities[i] = np.linalg.norm([ + gaze_points['data']['x'][i] - gaze_points['data']['x'][corresponding_pre_glitch], + gaze_points['data']['y'][i] - gaze_points['data']['y'][corresponding_pre_glitch] + ]) / (times[i] - times[corresponding_pre_glitch]) + velocities[i] *= 1e3 # degrees per second + + gaze_points['data']['v'] = velocities + + # Looking for saccade seed points------------------------------------------------------------------------------- + # saccade seed point should + # (1) exceed the fast threshold + # (2) be biologically plausible + # (3) not be inside a glitch + saccade_seeds = (velocities > param["THRESHOLD_ONSET_FAST_DEGREE_PER_SEC"]) * \ + (velocities < param["MAX_SPEED_DEGREE_PER_SEC"]) * \ + (1 - all_glitch) + saccade_seed_indices = np.nonzero(saccade_seeds)[0] + for potential_seed_index in saccade_seed_indices: + if gaze_points['data']['EYE_MOVEMENT_TYPE'][potential_seed_index] != 'UNKNOWN': + # already labelled this before, ex. as a saccade that started from another seed point + continue + if param["VERBOSE"] == True: + print('potential seed index', potential_seed_index) + # Looking for onset: + # (1) should be above slow threshold speed + # (2) should not be a glitch + # (3) does not yet have a label + onset_candidates_check = (velocities[max(0, potential_seed_index - extra_samples_count):potential_seed_index] >= + param["THRESHOLD_ONSET_SLOW_DEGREE_PER_SEC"]) * \ + (1 - is_glitch[ + max(0, potential_seed_index - extra_samples_count):potential_seed_index]) * \ + (gaze_points['data']['EYE_MOVEMENT_TYPE'][ + max(0, potential_seed_index - extra_samples_count):potential_seed_index + ] == 'UNKNOWN') + + # find the last zero (the next sample after it is the beginning of the last uninterrupted 1-sequence, + # i.e. the saccade onset + try: + last_zero_index = np.nonzero(1 - onset_candidates_check)[0][-1] + except IndexError: + # not found + continue + saccade_onset_index = last_zero_index + 1 + max(0, + potential_seed_index - extra_samples_count) # shift accordingly + # also this should not be the glitch or post/pre-glitch sample + while all_glitch[saccade_onset_index]: + saccade_onset_index += 1 + + # looking for offset + # (1) should be above offset speed threshold + # (2) should not exceed biologically plausible duration threshold + # (3) should not yet have a label (i.e. not NOISE labelled above) + offset_candidates_check = (velocities[potential_seed_index:potential_seed_index + extra_samples_count] >= + param["THRESHOLD_OFFSET_DEGREE_PER_SEC"]) * \ + (times[potential_seed_index:potential_seed_index + extra_samples_count] - + times[saccade_onset_index] <= param["MAX_DURATION_MILLISEC"]) + # we ignore the criterion around the glitch + offset_candidates_check += is_glitch[potential_seed_index:potential_seed_index + extra_samples_count] + offset_candidates_check += post_glitch[potential_seed_index:potential_seed_index + extra_samples_count] + + # but there should not yet be a label present, i.e. it's not the NOISE labelled above + offset_candidates_check *= (gaze_points['data']['EYE_MOVEMENT_TYPE'][ + potential_seed_index:potential_seed_index + extra_samples_count + ] == 'UNKNOWN') + + # find the first zero (this is the first sample with speed below the threshold, i.e. the saccade offset + try: + saccade_offset_index = np.nonzero(1 - offset_candidates_check)[0][0] + except IndexError: + # no offset found + continue + # the index was starting at potential_seed_index + saccade_offset_index += potential_seed_index + + # if we are finished inside the glitch, we have reached a biological limit of some sorts ==> discard + if is_glitch[saccade_offset_index]: + continue + + if param["VERBOSE"] == True: + print('Found onset/offset indices', saccade_onset_index, saccade_offset_index) + + # now validate the saccade parameters + # (1) it spans at least the minimal necessary interval + saccade_time = times[saccade_offset_index] - times[saccade_onset_index] + if saccade_time < param["MIN_DURATION_MILLISEC"]: + # If the resulting saccade is shorter than + # a minDuration, we assume that we have only encountered + # some noise impulse and discard this saccade. + gaze_points['data']['EYE_MOVEMENT_TYPE'][saccade_onset_index:saccade_offset_index + 1] = 'NOISE' + + if param["VERBOSE"] == True: + print('Discarding due to low duration: needed {}, had {}'. \ + format(param["MIN_DURATION_MILLISEC"], saccade_time)) + continue + + # (2) mean velocity is not below the slow onset threshold + saccade_displacement = np.linalg.norm([ + gaze_points['data']['x'][saccade_offset_index] - gaze_points['data']['x'][saccade_onset_index], + gaze_points['data']['y'][saccade_offset_index] - gaze_points['data']['y'][saccade_onset_index], + ]) + mean_speed = saccade_displacement / saccade_time # degrees per millisecond + mean_speed *= 1e3 # degrees per second + + if mean_speed < param["THRESHOLD_ONSET_SLOW_DEGREE_PER_SEC"]: + # Saccades where the average velocity drops below the offset threshold + # are also discarded (those are often due to some high-velocity samples + # going in one direction, then jumping back - which is unbiological). + if param["VERBOSE"] == True: + print('Discarding due to low average speed: needed {}, had {}'.format( + param["THRESHOLD_ONSET_SLOW_DEGREE_PER_SEC"], mean_speed)) + continue + + # If all is okay, we detected a whole saccade + gaze_points['data']['EYE_MOVEMENT_TYPE'][saccade_onset_index:saccade_offset_index + 1] = 'SACCADE' + # write the saccade index into the appropriate field and update the global count + gaze_points['data']['SACC_INTERVAL_INDEX'][saccade_onset_index:saccade_offset_index + 1] = \ + detected_saccades_count + detected_saccades_count += 1 + # from the end of last saccade till the beginning of this one, put appropriate intersaccadic interval index + # also update the global count of intersaccadic intervals + gaze_points['data']['INTERSACC_INTERVAL_INDEX'][last_saccade_end + 1:saccade_onset_index] = \ + intersaccadic_intervals_count + intersaccadic_intervals_count += 1 + last_saccade_end = saccade_offset_index + + if param["VERBOSE"]: + print('{0} {1:0.1f} {2:0.1f} {3} {4:0.1f} {5:0.1f}'.format( + gaze_points['data'][saccade_onset_index]['time'], + gaze_points['data'][saccade_onset_index]['x'], + gaze_points['data'][saccade_onset_index]['y'], + gaze_points['data'][saccade_offset_index]['time'], + gaze_points['data'][saccade_offset_index]['x'], + gaze_points['data'][saccade_offset_index]['y'], + )) + # final intersaccadic interval, if there is one + gaze_points['data']['INTERSACC_INTERVAL_INDEX'][last_saccade_end + 1:] = \ + intersaccadic_intervals_count + intersaccadic_intervals_count += 1 + + # Override erroneous samples' labels + gaze_points['data']['EYE_MOVEMENT_TYPE'][is_glitch] = 'NOISE' + + return gaze_points diff --git a/sp_detector.py b/sp_detector.py new file mode 100644 index 0000000..5465068 --- /dev/null +++ b/sp_detector.py @@ -0,0 +1,271 @@ +import numpy as np +import abc +import copy + +from arff import xrange +from arff_helper import ArffHelper + + +class SmoothPursuitDetector(object): + """ + DBSCAN-based smooth pursuit detector. All the logic is in a DBSCANWithMinPts class, this is just a wrapper + that based on the arguments to __init__ method initiates DBSCANWithMinPts + """ + def __init__(self, param): + """ + Initialize the SmoothPursuitDetector object + + :param eps_deg: Spatial Euclidean distance threshold that defines the neighbourhood in the XY-plane. + Given in degrees of visual field. + :param time_slice_millisec: Width of the time slice that defines the size of the neighbourhood on the time axis. + Value is given in milliseconds. The neighbourhood essentially has cylindrical shape. + :param min_pts: of points required to form a "valid" neighbourhood + (that integer indicating the minimum number of a core points). + """ + min_pts = param['MIN_PTS'] + eps_deg = param['EPS_DEG'] + time_slice_millisec = param['TIME_SLICE_MILLISEC'] + + self.clustering = DBSCANWithMinPts(eps_deg=eps_deg, time_slice_millisec=time_slice_millisec, + min_pts=min_pts) + + def detect(self, gaze_points_list, inplace=False): + return self.clustering.cluster(gaze_points_list=gaze_points_list, + inplace=inplace) + + +class DBSCANWithTimeSlice(object): + """ + The class is based on DBSCAN algorithm used for density-based data clustering + (we run this to detect SP, after pre-filtering has removed saccades and fixations). + + Rather than only using spatial locations, the algorithm uses spatio-temporal + information, i.e. we cluster gaze points data in three-dimensional (t, x, y) space. + + Since there is no a priori optimal scaling factor between time and space, + we modify the classical DBSCAN notion of the neighbourhood (i.e. a sphere of radius @eps). + Instead of it, we consider the cylinder with its axis aligned with the time axis. + This way we have a XY-neighbourhood defined by Euclidean distance and its threshold of @eps, + and on the temporal axis we take a time slice of @time_slice_millisec width (hence the class name) + + Neighbourhood validation is implemented by two classes that implement the DBSCANWithTimeSlice interface. + It is done in two different ways, namely "minPts" (validating that the number of other gaze points in the + neighbourhood is at least @min_pts, closer to original DBSCAN) and "minObservers" (we validate that samples + of at least @min_observers different observers are present in the neighbourhood). + + """ + __metaclass__ = abc.ABCMeta + + def __init__(self, eps_deg=2.0, time_slice_millisec=40): + """ + :param eps_deg: Spatial Euclidean distance threshold that defines the neighbourhood in the XY-plane. + Given in degrees of visual field. + :param time_slice_millisec: Width of the time slice that defines the size of the neighbourhood on the time axis. + Value is given in microseconds. + + """ + self.time_slice = time_slice_millisec + self.eps_deg = eps_deg + + # initialize empty data + self._data_set = None + # store timestamps separately for efficiency + self._timestamps = None + + def cluster(self, gaze_points_list, inplace=False): + """ + Find clusters of input gaze data and label clustered points as smooth pursuit. + Labels (sets the 'EYE_MOVEMENT_TYPE' field) the clusters of data points as 'SP', + other samples as 'NOISE_CLUSTER'. + + New column 'CLUSTER_ID' is added into the @DATA section of each arff object in @gaze_points_list, + indicating cluster group ID. + + :param gaze_points_list: a list of arff objects (dictionary with fields such as 'data' and 'metadata') + :param inplace: whether to modify the original input gaze data with gaze data after clustering or use a copy + :return: gaze data after clustering in the same form as the input data. + + """ + if not inplace: + gaze_points_list = copy.deepcopy(gaze_points_list) + + # add global indexing to be able to reference the particular sample even after clustering all in one structure + ArffHelper.add_column(gaze_points_list, name='global_index', dtype='INTEGER', default_value=-1) + gaze_points_list['data']['global_index'] = np.arange(gaze_points_list['data'].shape[0]) + + self._data_set = self._aggregate_data(gaze_points_list) + # has to be a copy, so that is is placed continuously in memory + self._timestamps = self._data_set['time'].copy() + + current_cluster_id = 0 + + for i in xrange(len(self._data_set)): + if self._data_set[i]['visited_flag'] == 1: + continue + else: + self._data_set[i]['visited_flag'] = 1 + neighbourhood = self._get_neighbourhood(i) + if self._validate_neighbourhood(neighbourhood): + # if not: mark current point as NOISE + self._expand_cluster(i, neighbourhood, current_cluster_id) + current_cluster_id += 1 + + # create a new column in gaze_points_list for CLUSTER_ID + ArffHelper.add_column(gaze_points_list, 'CLUSTER_ID', 'NUMERIC', -1) + + # label data in gaze_points_list as SP according to CLUSTER_ID + for i in xrange(len(self._data_set)): + global_index = self._data_set[i]['global_index'] + + if self._data_set[i]['CLUSTER_ID'] != -1: + gaze_points_list['data']['EYE_MOVEMENT_TYPE'][global_index] = 'SP' + gaze_points_list['data']['CLUSTER_ID'][global_index] = self._data_set[i]['CLUSTER_ID'] + else: + gaze_points_list['data']['EYE_MOVEMENT_TYPE'][global_index] = 'NOISE_CLUSTER' + + # can now remove the global_index column + ArffHelper.remove_column(gaze_points_list, name='global_index') + + return gaze_points_list + + def _expand_cluster(self, current_point, neighbourhood, current_cluster_id): + """ + Check all points within neighbourhood of current core point in order + to expand neighbourhood. Processes points in the @self._data_set + (a 6-column numpy array as data set to be clustered) + + :param current_point: index of the current core point. + :param neighbourhood: index list as neighbourhood of current core point. + :param current_cluster_id: index of current cluster. + :return: index list of expanded neighbourhood points. + + """ + + self._data_set[current_point]['CLUSTER_ID'] = current_cluster_id + for neighbour in neighbourhood: + if self._data_set[neighbour]['visited_flag'] == 0: + self._data_set[neighbour]['visited_flag'] = 1 + new_neighbourhood = self._get_neighbourhood(neighbour) # eps as input parameter + if self._validate_neighbourhood(new_neighbourhood): + new_neighbourhood_set = set(new_neighbourhood) + new_neighbours = list(new_neighbourhood_set.difference(neighbourhood)) + neighbourhood.extend(new_neighbours) # something wrong if use neighbourhood_set.update + + if self._data_set[neighbour]['CLUSTER_ID'] == -1: + self._data_set[neighbour]['CLUSTER_ID'] = current_cluster_id + + return neighbourhood + + def _aggregate_data(self, gaze_points_list): + """ + Aggregate data from @DATA of all arff objects in the input list into a + new data set in form of a numpy array. + + :param gaze_points_list: gaze data to be clustered in form of list of arff objects. + :return: data set to be clustered in form of a 6-column numpy array, + i.e. ['time','x','y','observer_id','CLUSTER_ID','visited_flag'], + ordered by 'time' column value. + + """ + data_set = [] + gaze_points_data = gaze_points_list['data'][ + (gaze_points_list['data']['EYE_MOVEMENT_TYPE'] == 'UNKNOWN')][['time', 'x', 'y', 'global_index']] + gaze_points_data = ArffHelper.add_column_to_array(gaze_points_data, 'CLUSTER_ID', 'NUMERIC', -1) + gaze_points_data = ArffHelper.add_column_to_array(gaze_points_data, 'visited_flag', 'NUMERIC', 0) + if len(gaze_points_data) > 0: + data_set.append(gaze_points_data) + data_set = np.concatenate(data_set) + data_set = np.sort(data_set, order='time') + + return data_set + + def _get_neighbourhood(self, current_point): + """ + Get neighbourhood of current point in self._data_set (a 6-column numpy array as data set to be clustered) + + :param current_point: index of the current core point candidate. + :return: index list of the neighbourhood of current point. + + """ + # cast to the appropriate type just in case + start_index = np.searchsorted(self._timestamps, + self._timestamps[current_point] - self._timestamps.dtype.type(self.time_slice), + side='left') + end_index = np.searchsorted(self._timestamps, + self._timestamps[current_point] + self._timestamps.dtype.type(self.time_slice), + side='right') + + distance = np.linalg.norm([self._data_set[start_index:end_index]['x'] - self._data_set[current_point]['x'], + self._data_set[start_index:end_index]['y'] - self._data_set[current_point]['y']], + axis=0) + neighbourhood = (np.where(distance <= self.eps_deg)[0] + start_index).tolist() + + return neighbourhood + + @abc.abstractmethod + def _validate_neighbourhood(self, *args, **kwargs): + """ + Should return a boolean value after neighbourhood validation. Returns True if the point with such neighbourhood + is a core point (see DBSCAN method explanation for details). + + Abstract method - implemented in subclasses. + + """ + raise NotImplementedError("Implemented in subclass methods.") + + +class DBSCANWithMinPts(DBSCANWithTimeSlice): + """ + DBSCAN with time slice that uses MinPts as neighbourhood validation method + (validating that the number of other gaze points in the neighbourhood is at least @min_pts before declaring + this a core point). + + This method is dependent on the frame rate of the gaze position recording, since the number of points in a + fixed temporal slice will grow proportionally to gaze recording fps. If more independence from the fps is desired, + use DBSCANWithMinObservers. Tha default value here was used on a dataset with 250 Hz tracker used. + + """ + def __init__(self, eps_deg=2.0, time_slice_millisec=40, min_pts=1): + """ + Initialize DBSCANWithMinPts object. + :param eps_deg: Spatial Euclidean distance threshold that defines the neighbourhood in the XY-plane. + Given in degrees of visual field, a pixel value is assigned when the recordings' data + is provided. + :param time_slice_millisec: Width of the time slice that defines the size of the neighbourhood on the time axis. + Value is given in microseconds. + :param min_pts: integer indicating the minimum number of points required to + form a "valid" neighbourhood (that of a core point). + Could also be a 'num_observers' string (default), in which case + the actual value is determined during the self._setup_internal_parameters() call + """ + super(DBSCANWithMinPts, self).__init__(eps_deg=eps_deg, time_slice_millisec=time_slice_millisec) + + self.min_pts = min_pts + if type(self.min_pts) == int: + self.min_pts_abs_value = self.min_pts + + def _setup_internal_parameters(self, gaze_points_list): + """ + If min_pts was 'num_observers', set it accordingly here + :param gaze_points_list: a list of arff objects (dictionary with fields such as 'data' and 'metadata') + + """ + if self.min_pts == 'num_observers': + self.min_pts_abs_value = len(gaze_points_list) + + def _validate_neighbourhood(self, neighbourhood): + """ + Compare the size of @neighbourhood with @self.min_pts and return boolean value + as result of validation. True if this is the neighbourhood of a core point, false otherwise. + @self._data_set (a 6-column numpy array as data set to be clustered) is used to interpret + the @neighbourhood list. + + :param neighbourhood: index list as neighbourhood to be validated. + :return: boolean value. + True if @neighbourhood contains more than @self.min_pts points, False if not. + + """ + if len(neighbourhood) >= self.min_pts_abs_value: + return True + else: + return False \ No newline at end of file diff --git a/testdata/1/1/varjo_gaze_output_2021-06-21_17-14-36-126-copy.csv b/testdata/1/1/varjo_gaze_output_2021-06-21_17-14-36-126-copy.csv new file mode 100644 index 0000000..04e64aa --- /dev/null +++ b/testdata/1/1/varjo_gaze_output_2021-06-21_17-14-36-126-copy.csv @@ -0,0 +1,4410 @@ 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