Red Ball Tracking and LiDAR Data Analysis

This README provides guidelines for running the red ball tracking and LiDAR data analysis code.

Libraries

The following libraries are required. Please install them if not already present:

import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D

Configuration

Before running the code, update the paths to the video and Excel files according to your local setup.

Execution Instructions

Problem 1: Red Ball Movement Analysis

To analyze the red ball movement:

1. Execute the provided code in the terminal. Runtime may vary based on system performance.
2. Expect five sequential outputs:
   • A video displaying the red ball's movement, with its center marked in green.
   • A graph illustrating the trajectory of the ball's center.
   • A plot of the fitted parabola to the ball's trajectory.
   • The equation describing the curve.
   • The x-coordinate of the ball's landing position.

Problem 2: LiDAR Data Analysis

Part 2.1

1. Run the code in the terminal.
2. Outputs will include:
   • The covariance matrix.
   • The magnitude and direction of the surface normal.

Part 2.2

1. Execute the RANSAC code in the terminal. Note that due to iterations, execution may take some time.
2. The following outputs will be provided sequentially:
   • Least Square for pc1, including error.
   • Total least square for pc1, including error.
   • RANSAC for pc1, including error.
   • Least Square for pc2, including error.
   • Total least square for pc2, including error.
   • RANSAC for pc2, including error.

Results

The results are visualized in the images below: