|
| 1 | + |
| 2 | +# Digital Palette Mixer |
| 3 | + |
| 4 | +Mix paint palettes for images from base pigments using the Kubelka-Munk equations. Based on the paper of Lindemeier et al. [1]. |
| 5 | + |
| 6 | + |
| 7 | +## Example |
| 8 | + |
| 9 | +This is a collection of base pigments whose absorption and scattering coefficients I've measured in my article [1]: |
| 10 | + |
| 11 | +* Primary Magenta |
| 12 | +* Carmine Red |
| 13 | +* Cadmium Red Medium |
| 14 | +* Raw Umber |
| 15 | +* Cadmium Orange Hue |
| 16 | +* Cadmium Yellow Hue |
| 17 | +* Primary Yellow |
| 18 | +* Leaf Green |
| 19 | +* Phthalo Green |
| 20 | +* Cobalt Blue Tone Deep |
| 21 | +* Ultramarine Blue |
| 22 | +* Lilac |
| 23 | +* Lamp Black |
| 24 | +* Titanium White |
| 25 | + |
| 26 | + |
| 27 | + |
| 28 | + |
| 29 | +**Figure 1:** This is a visualization of the pigments and their resulting reflectance on black and white background. |
| 30 | + |
| 31 | + |
| 32 | + |
| 33 | +### Create a palette from an input picture and mixing them from base pigments |
| 34 | +Command to extract a pallete of size 6 from a input image: |
| 35 | +```shell |
| 36 | + ./palette_extraction -b ../palettes/BasePigments/AcrylicsBasePigments.json -i ../doc/palette_extraction/pexels-photo-977737.jpeg -n 6 -o ../doc/palette_extraction/pexels-photo-977737-extractedPalette.json |
| 37 | +``` |
| 38 | + |
| 39 | + |
| 40 | + |
| 41 | +**Figure 2:** The input image [2] we will extract a palette from using the pigments from Figure 1 . |
| 42 | + |
| 43 | + |
| 44 | + |
| 45 | + |
| 46 | + |
| 47 | +**Figure 3:** The extracted palette rendered on black and white background. |
| 48 | + |
| 49 | + |
| 50 | + |
| 51 | +These are the weights computed with the PaintMixer solver: |
| 52 | + |
| 53 | +| Primary Magenta | Carmine Red| Cadmium Red Medium| Raw Umber| Cadmium Orange Hue| Cadmium Yellow Hue| Primary Yellow| Leaf Green| Phthalo Green| Cobalt Blue Tone Deep| Ultramarine Blue| Lilac| Lamp Black | Titanium White | |
| 54 | +|:-------------:|:-------------:|:-------------:|:-------------:|:-------------:|:-------------:|:-------------:|:-------------:|:-------------:|:-------------:|:-------------:|:-------------:|:-------------:|:-------------:| |
| 55 | +| 0 |0 | 0 | 0 | 0 | 0 |0 | 0.0947 | 0.262 | 0.0903 | 0.215 | 0 |0.337 | 0 | |
| 56 | +| 0 |0 | 0 | 0 | 0 | 0 |0 | 0 | 0 | 0 | 0 | 0.019 |0 | 0.981 | |
| 57 | +| 0 |0 | 0 | 0 | 0 | 0.00757|0 | 0.192 | 0.59 | 0.139 | 0.0424 | 0 |0 | 0.0292 | |
| 58 | +| 0 |0 | 0.0854 | 0 | 0.171 | 0.0692 |0.674| 0 | 0 | 0 | 0 | 0 |0 | 0 | |
| 59 | +| 0.146 |0.211 | 0.437 | 0 | 0.206 | 0 |0 | 0 | 0 | 0 | 0 | 0 |0 | 0 | |
| 60 | +| 0 |0 | 0 | 0.0063 | 0 | 0 |0 | 0.0369 | 0.212 | 0.216 | 0.259 | 0.0625 |0.206 | 0 | |
| 61 | + |
| 62 | +**Table 1:** These are the weights for mixing the paints as shown in Figure 3 from the base pigments shown in Figure 1. |
| 63 | + |
| 64 | + |
| 65 | +These are the absorption and scattering coefficients of the extracted palette computed using the mixing solver and output as json: |
| 66 | +```json |
| 67 | + [ |
| 68 | + { |
| 69 | + "K": [ |
| 70 | + 1.4671067147397455, |
| 71 | + 0.9698479705161202, |
| 72 | + 0.7784896610234372 |
| 73 | + ], |
| 74 | + "S": [ |
| 75 | + 0.043076041668283649, |
| 76 | + 0.08198151765139729, |
| 77 | + 0.06474356110909095 |
| 78 | + ] |
| 79 | + }, |
| 80 | + { |
| 81 | + "K": [ |
| 82 | + 0.06539400295725369, |
| 83 | + 0.06421413897814343, |
| 84 | + 0.06737760085328282 |
| 85 | + ], |
| 86 | + "S": [ |
| 87 | + 0.7612055495574275, |
| 88 | + 0.9165666516471837, |
| 89 | + 1.0169171824109196 |
| 90 | + ] |
| 91 | + }, |
| 92 | + { |
| 93 | + "K": [ |
| 94 | + 1.558403138979944, |
| 95 | + 0.706115436691196, |
| 96 | + 0.7202637267172865 |
| 97 | + ], |
| 98 | + "S": [ |
| 99 | + 0.06732445406550918, |
| 100 | + 0.11887217439153461, |
| 101 | + 0.11310752780489106 |
| 102 | + ] |
| 103 | + }, |
| 104 | + { |
| 105 | + "K": [ |
| 106 | + 0.013819327449075598, |
| 107 | + 0.3409922592740801, |
| 108 | + 2.53557022496248 |
| 109 | + ], |
| 110 | + "S": [ |
| 111 | + 1.0679933129986213, |
| 112 | + 0.6562281343632745, |
| 113 | + 0.01595292961985854 |
| 114 | + ] |
| 115 | + }, |
| 116 | + { |
| 117 | + "K": [ |
| 118 | + 0.13424884989254433, |
| 119 | + 1.6172395172573063, |
| 120 | + 1.8094305792798447 |
| 121 | + ], |
| 122 | + "S": [ |
| 123 | + 0.7523791290476137, |
| 124 | + 0.1791898328836181, |
| 125 | + 0.1282115084482811 |
| 126 | + ] |
| 127 | + }, |
| 128 | + { |
| 129 | + "K": [ |
| 130 | + 1.5054829224326548, |
| 131 | + 0.9997198355146348, |
| 132 | + 0.584845819500503 |
| 133 | + ], |
| 134 | + "S": [ |
| 135 | + 0.041619867600404109, |
| 136 | + 0.10086032379657013, |
| 137 | + 0.11154146006304615 |
| 138 | + ] |
| 139 | + } |
| 140 | + ] |
| 141 | +``` |
| 142 | + |
| 143 | +## References |
| 144 | + |
| 145 | +[1]: T. Lindemeier, J. M. Gülzow, and O. Deussen. 2018. Painterly rendering using limited paint color palettes. In Proceedings of the Conference on Vision, Modeling, and Visualization (EG VMV '18). Eurographics Association, Goslar Germany, Germany, 135-145. DOI: https://doi.org/10.2312/vmv.20181263 |
| 146 | + |
| 147 | +[2]: Image from (https://www.pexels.com/photo/scenic-view-of-beach-during-dawn-977737/), accessed May 22, 2019. |
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