diff options
-rw-r--r-- | firmware/Spectrum Measurement.ipynb | 95 | ||||
-rw-r--r-- | firmware/cie_xyz_1931.csv | 95 | ||||
-rw-r--r-- | firmware/cie_xyz_judd_1951.csv | 41 | ||||
-rw-r--r-- | firmware/cie_xyz_judd_vos_1978.csv | 90 |
4 files changed, 318 insertions, 3 deletions
diff --git a/firmware/Spectrum Measurement.ipynb b/firmware/Spectrum Measurement.ipynb index 6d904c3..c77709a 100644 --- a/firmware/Spectrum Measurement.ipynb +++ b/firmware/Spectrum Measurement.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 1, + "execution_count": 277, "metadata": { "collapsed": false }, @@ -13,6 +13,7 @@ "from IPython import display\n", "from datetime import datetime\n", "import scipy.interpolate as inter\n", + "from scipy import integrate\n", "\n", "import numpy as np\n", "from matplotlib import pyplot as plt\n", @@ -6652,12 +6653,100 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 271, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "# CIE XYZ Color matching functions\n", + "# rows are: λ[nm], x, y, z\n", + "CMFs = { fn[:-4]: np.genfromtxt(fn, delimiter=',')\n", + " for fn in ['cie_xyz_1931.csv', 'cie_xyz_judd_1951.csv', 'cie_xyz_judd_vos_1978.csv'] }\n", + "CMFs = { name: np.hstack([inter.interp1d(d[:,0], d[:,i]) for i in range(1,4)])\n", + " for name, d in CMFs.items() }" + ] + }, + { + "cell_type": "code", + "execution_count": 285, "metadata": { "collapsed": true }, "outputs": [], - "source": [] + "source": [ + "def integrate_tristimulus_response(data, colorspace='cie_xyz_1931'):\n", + " a = np.array([[\n", + " integrate.simps(\n", + " np.multiply(CMFs[colorspace][j](data[i][0]), data[i][1]),\n", + " data[i][0])\n", + " for j in range(3) ]\n", + " for i in range(len(data)) ])\n", + " # normalize by largest component\n", + " return a / np.max(np.sum(a, axis=0))" + ] + }, + { + "cell_type": "code", + "execution_count": 289, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 3.46142003e-01, 1.73335974e-01, -7.18827590e-05],\n", + " [ 9.01721797e-02, 1.69512416e-01, 2.15830281e-02],\n", + " [ 1.75128165e-01, 2.49230694e-01, 9.78488855e-01]])" + ] + }, + "execution_count": 289, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tristimulus_data = integrate_tristimulus_response(data_rgb)\n", + "tristimulus_data" + ] + }, + { + "cell_type": "code", + "execution_count": 330, + "metadata": { + "collapsed": false + }, + "outputs": [], + "source": [ + "def led_setpoint_from_xyz(x, y, z):\n", + " # returns [r, g, b] array.\n", + " # Note that many xyz tristimulus values cannot be produced because one component is outside [0, 1]\n", + " #return np.linalg.solve(tristimulus_data.T, np.array([x, y, z]))\n", + " return np.dot(np.linalg.inv(tristimulus_data.T), np.array([x, y, z]))" + ] + }, + { + "cell_type": "code", + "execution_count": 332, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0.72869072, 0.1386238 , 0.20139265])" + ] + }, + "execution_count": 332, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "led_setpoint_from_xyz(0.3, 0.2, 0.2)" + ] } ], "metadata": { diff --git a/firmware/cie_xyz_1931.csv b/firmware/cie_xyz_1931.csv new file mode 100644 index 0000000..5f2c229 --- /dev/null +++ b/firmware/cie_xyz_1931.csv @@ -0,0 +1,95 @@ +360,0.000129900000,0.000003917000,0.000606100000 +365,0.000232100000,0.000006965000,0.001086000000 +370,0.000414900000,0.000012390000,0.001946000000 +375,0.000741600000,0.000022020000,0.003486000000 +380,0.001368000000,0.000039000000,0.006450001000 +385,0.002236000000,0.000064000000,0.010549990000 +390,0.004243000000,0.000120000000,0.020050010000 +395,0.007650000000,0.000217000000,0.036210000000 +400,0.014310000000,0.000396000000,0.067850010000 +405,0.023190000000,0.000640000000,0.110200000000 +410,0.043510000000,0.001210000000,0.207400000000 +415,0.077630000000,0.002180000000,0.371300000000 +420,0.134380000000,0.004000000000,0.645600000000 +425,0.214770000000,0.007300000000,1.039050100000 +430,0.283900000000,0.011600000000,1.385600000000 +435,0.328500000000,0.016840000000,1.622960000000 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\ No newline at end of file diff --git a/firmware/cie_xyz_judd_1951.csv b/firmware/cie_xyz_judd_1951.csv new file mode 100644 index 0000000..288ec18 --- /dev/null +++ b/firmware/cie_xyz_judd_1951.csv @@ -0,0 +1,41 @@ +370,0.0008,0.0001,0.0046 +380,0.0045,0.0004,0.0224 +390,0.0201,0.0015,0.0925 +400,0.0611,0.0045,0.2799 +410,0.1267,0.0093,0.5835 +420,0.2285,0.0175,1.0622 +430,0.3081,0.0273,1.4526 +440,0.3312,0.0379,1.6064 +450,0.2888,0.0468,1.4717 +460,0.2323,0.0600,1.2880 +470,0.1745,0.0910,1.1133 +480,0.0920,0.1390,0.7552 +490,0.0318,0.2080,0.4461 +500,0.0048,0.3230,0.2644 +510,0.0093,0.5030,0.1541 +520,0.0636,0.7100,0.0763 +530,0.1668,0.8620,0.0412 +540,0.2926,0.9540,0.0200 +550,0.4364,0.9950,0.0088 +560,0.5970,0.9950,0.0039 +570,0.7642,0.9520,0.0020 +580,0.9159,0.8700,0.0016 +590,1.0225,0.7570,0.0011 +600,1.0544,0.6310,0.0007 +610,0.9922,0.5030,0.0003 +620,0.8432,0.3810,0.0002 +630,0.6327,0.2650,0.0001 +640,0.4404,0.1750,0.0000 +650,0.2787,0.1070,0.0000 +660,0.1619,0.0610,0.0000 +670,0.0858,0.0320,0.0000 +680,0.0459,0.0170,0.0000 +690,0.0222,0.0082,0.0000 +700,0.0113,0.0041,0.0000 +710,0.0057,0.0021,0.0000 +720,0.0028,0.0011,0.0000 +730,0.0015,0.0005,0.0000 +740,0.0005,0.0002,0.0000 +750,0.0003,0.0001,0.0000 +760,0.0002,0.0001,0.0000 +770,0.0001,0.0000,0.0000
\ No newline at end of file diff --git a/firmware/cie_xyz_judd_vos_1978.csv b/firmware/cie_xyz_judd_vos_1978.csv new file mode 100644 index 0000000..8ab7bc0 --- /dev/null +++ b/firmware/cie_xyz_judd_vos_1978.csv @@ -0,0 +1,90 @@ +380,2.689900e-003,2.000000e-004,1.226000e-002 +385,5.310500e-003,3.955600e-004,2.422200e-002 +390,1.078100e-002,8.000000e-004,4.925000e-002 +395,2.079200e-002,1.545700e-003,9.513500e-002 +400,3.798100e-002,2.800000e-003,1.740900e-001 +405,6.315700e-002,4.656200e-003,2.901300e-001 +410,9.994100e-002,7.400000e-003,4.605300e-001 +415,1.582400e-001,1.177900e-002,7.316600e-001 +420,2.294800e-001,1.750000e-002,1.065800e+000 +425,2.810800e-001,2.267800e-002,1.314600e+000 +430,3.109500e-001,2.730000e-002,1.467200e+000 +435,3.307200e-001,3.258400e-002,1.579600e+000 +440,3.333600e-001,3.790000e-002,1.616600e+000 +445,3.167200e-001,4.239100e-002,1.568200e+000 +450,2.888200e-001,4.680000e-002,1.471700e+000 +455,2.596900e-001,5.212200e-002,1.374000e+000 +460,2.327600e-001,6.000000e-002,1.291700e+000 +465,2.099900e-001,7.294200e-002,1.235600e+000 +470,1.747600e-001,9.098000e-002,1.113800e+000 +475,1.328700e-001,1.128400e-001,9.422000e-001 +480,9.194400e-002,1.390200e-001,7.559600e-001 +485,5.698500e-002,1.698700e-001,5.864000e-001 +490,3.173100e-002,2.080200e-001,4.466900e-001 +495,1.461300e-002,2.580800e-001,3.411600e-001 +500,4.849100e-003,3.230000e-001,2.643700e-001 +505,2.321500e-003,4.054000e-001,2.059400e-001 +510,9.289900e-003,5.030000e-001,1.544500e-001 +515,2.927800e-002,6.081100e-001,1.091800e-001 +520,6.379100e-002,7.100000e-001,7.658500e-002 +525,1.108100e-001,7.951000e-001,5.622700e-002 +530,1.669200e-001,8.620000e-001,4.136600e-002 +535,2.276800e-001,9.150500e-001,2.935300e-002 +540,2.926900e-001,9.540000e-001,2.004200e-002 +545,3.622500e-001,9.800400e-001,1.331200e-002 +550,4.363500e-001,9.949500e-001,8.782300e-003 +555,5.151300e-001,1.000100e+000,5.857300e-003 +560,5.974800e-001,9.950000e-001,4.049300e-003 +565,6.812100e-001,9.787500e-001,2.921700e-003 +570,7.642500e-001,9.520000e-001,2.277100e-003 +575,8.439400e-001,9.155800e-001,1.970600e-003 +580,9.163500e-001,8.700000e-001,1.806600e-003 +585,9.770300e-001,8.162300e-001,1.544900e-003 +590,1.023000e+000,7.570000e-001,1.234800e-003 +595,1.051300e+000,6.948300e-001,1.117700e-003 +600,1.055000e+000,6.310000e-001,9.056400e-004 +605,1.036200e+000,5.665400e-001,6.946700e-004 +610,9.923900e-001,5.030000e-001,4.288500e-004 +615,9.286100e-001,4.417200e-001,3.181700e-004 +620,8.434600e-001,3.810000e-001,2.559800e-004 +625,7.398300e-001,3.205200e-001,1.567900e-004 +630,6.328900e-001,2.650000e-001,9.769400e-005 +635,5.335100e-001,2.170200e-001,6.894400e-005 +640,4.406200e-001,1.750000e-001,5.116500e-005 +645,3.545300e-001,1.381200e-001,3.601600e-005 +650,2.786200e-001,1.070000e-001,2.423800e-005 +655,2.148500e-001,8.165200e-002,1.691500e-005 +660,1.616100e-001,6.100000e-002,1.190600e-005 +665,1.182000e-001,4.432700e-002,8.148900e-006 +670,8.575300e-002,3.200000e-002,5.600600e-006 +675,6.307700e-002,2.345400e-002,3.954400e-006 +680,4.583400e-002,1.700000e-002,2.791200e-006 +685,3.205700e-002,1.187200e-002,1.917600e-006 +690,2.218700e-002,8.210000e-003,1.313500e-006 +695,1.561200e-002,5.772300e-003,9.151900e-007 +700,1.109800e-002,4.102000e-003,6.476700e-007 +705,7.923300e-003,2.929100e-003,4.635200e-007 +710,5.653100e-003,2.091000e-003,3.330400e-007 +715,4.003900e-003,1.482200e-003,2.382300e-007 +720,2.825300e-003,1.047000e-003,1.702600e-007 +725,1.994700e-003,7.401500e-004,1.220700e-007 +730,1.399400e-003,5.200000e-004,8.710700e-008 +735,9.698000e-004,3.609300e-004,6.145500e-008 +740,6.684700e-004,2.492000e-004,4.316200e-008 +745,4.614100e-004,1.723100e-004,3.037900e-008 +750,3.207300e-004,1.200000e-004,2.155400e-008 +755,2.257300e-004,8.462000e-005,1.549300e-008 +760,1.597300e-004,6.000000e-005,1.120400e-008 +765,1.127500e-004,4.244600e-005,8.087300e-009 +770,7.951300e-005,3.000000e-005,5.834000e-009 +775,5.608700e-005,2.121000e-005,4.211000e-009 +780,3.954100e-005,1.498900e-005,3.038300e-009 +785,2.785200e-005,1.058400e-005,2.190700e-009 +790,1.959700e-005,7.465600e-006,1.577800e-009 +795,1.377000e-005,5.259200e-006,1.134800e-009 +800,9.670000e-006,3.702800e-006,8.156500e-010 +805,6.791800e-006,2.607600e-006,5.862600e-010 +810,4.770600e-006,1.836500e-006,4.213800e-010 +815,3.355000e-006,1.295000e-006,3.031900e-010 +820,2.353400e-006,9.109200e-007,2.175300e-010 +825,1.637700e-006,6.356400e-007,1.547600e-010
\ No newline at end of file |