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@BlurryLight
Last active May 20, 2022 16:05
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TAA_AABB
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "TAA_AABB",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyPw7H8EpLX7thZO241B89jc",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/BlurryLight/70e2c778d912996901a0a9d0e3ce18f5/taa_aabb.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "code",
"source": [
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits import mplot3d\n",
"print('matplotlib: {}'.format(matplotlib.__version__))"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "Sf9oaWb0wKs0",
"outputId": "63cf607a-5730-4761-9b41-6b75303a69b5"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"matplotlib: 3.2.2\n"
]
}
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "7zhuoFYSssLB"
},
"outputs": [],
"source": [
"import numpy as np\n",
"%matplotlib inline\n",
"#https://colab.research.google.com/github/jakevdp/PythonDataScienceHandbook/blob/master/notebooks/04.00-Introduction-To-Matplotlib.ipynb\n",
"#https://colab.research.google.com/github/jttoivon/data-analysis-with-python-spring-2019/blob/master/matplotlib.ipynb"
]
},
{
"cell_type": "code",
"source": [
"def draw_a_line(ax,p0,p1):\n",
" ax.plot3D([p0[0],p1[0]],[p0[1],p1[1]],[p0[2],p1[2]],'k-') # 这个坐标顺序很怪,第一个输入参数是p0,p1两个点的x坐标\n",
"\n",
"def draw_aabb(ax,AABBmin,AABBmax):\n",
" AABBmin = np.array(AABBmin)\n",
" AABBmax = np.array(AABBmax)\n",
"\n",
" center = (AABBmin + AABBmax) * 0.5\n",
" vec = AABBmax - AABBmin\n",
" width = vec[0] # r, x\n",
" height = vec[1] # g, y\n",
" depth = vec[2] # b, z\n",
"\n",
" bbl = AABBmin # back bottom left\n",
" btl = center + np.array([-width * 0.5,0.5 * height,-0.5 * depth])\n",
" bbr = center + np.array([width * 0.5,-0.5 * height,-0.5 * depth])\n",
" btr = center + np.array([width * 0.5,0.5 * height,-0.5 * depth])\n",
"\n",
" ftr = AABBmax # front top right\n",
" ftl = center + np.array([-width * 0.5,0.5 * height,0.5 * depth])\n",
" fbr = center + np.array([width * 0.5,-0.5 * height,0.5 * depth])\n",
" fbl = center + np.array([-width * 0.5,-0.5 * height,0.5 * depth])\n",
"\n",
" draw_a_line(ax,bbl,btl)\n",
" draw_a_line(ax,bbl,bbr)\n",
" draw_a_line(ax,bbr,btr)\n",
" draw_a_line(ax,btl,btr)\n",
" \n",
" draw_a_line(ax,fbl,ftl)\n",
" draw_a_line(ax,fbl,fbr)\n",
" draw_a_line(ax,fbr,ftr)\n",
" draw_a_line(ax,ftl,ftr)\n",
"\n",
" draw_a_line(ax,bbl,fbl)\n",
" draw_a_line(ax,btl,ftl)\n",
" draw_a_line(ax,btr,ftr)\n",
" draw_a_line(ax,bbr,fbr)\n",
"\n",
"\n",
"fig = plt.figure()\n",
"ax = plt.axes(projection='3d',proj_type='ortho') # 正交相机\n",
"ax.set_xlim(0,1)\n",
"ax.set_ylim(0,1)\n",
"ax.set_zlim(0,1)\n",
"ax.set_xlabel(\"R\")\n",
"ax.set_ylabel(\"G\")\n",
"ax.set_zlabel(\"B\")"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 266
},
"id": "REmZ4-EbtE36",
"outputId": "066cb331-2c14-4bcb-b2fe-c38a335c832c"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Text(0.5, 0, 'B')"
]
},
"metadata": {},
"execution_count": 17
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"source": [
""
],
"metadata": {
"id": "ezAN1k46JupR"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"# a = np.array([1,2,3])\n",
"# b = np.array([1.5,3,0])\n",
"# c = np.minimum(a,b)\n",
"# print(c)\n",
"\n",
"from IPython.display import display\n",
"np.random.seed(seed=1234)\n",
"colors = np.random.rand(6,3)\n",
"print(colors)\n",
"for color in colors:\n",
" ax.scatter(color[0],color[1],color[2],c = color)\n",
"# fig.show()\n",
"display(fig)\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 488
},
"id": "jcZhu3nuzgBl",
"outputId": "a2b155c3-3fc4-41ff-ec12-f3948d044dfa"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stderr",
"text": [
"*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n",
"*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n",
"*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n",
"*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n",
"*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n",
"*c* argument looks like a single numeric RGB or RGBA sequence, which should be avoided as value-mapping will have precedence in case its length matches with *x* & *y*. Please use the *color* keyword-argument or provide a 2-D array with a single row if you intend to specify the same RGB or RGBA value for all points.\n"
]
},
{
"output_type": "stream",
"name": "stdout",
"text": [
"[[0.19151945 0.62210877 0.43772774]\n",
" [0.78535858 0.77997581 0.27259261]\n",
" [0.27646426 0.80187218 0.95813935]\n",
" [0.87593263 0.35781727 0.50099513]\n",
" [0.68346294 0.71270203 0.37025075]\n",
" [0.56119619 0.50308317 0.01376845]]\n"
]
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"rgb_AABBmin = np.amin(colors,axis=0)\n",
"rgb_AABBmax = np.amax(colors,axis=0)\n",
"draw_aabb(ax,rgb_AABBmin,rgb_AABBmax)\n",
"display(fig)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 248
},
"id": "lTSuh9kP_gTa",
"outputId": "434467dc-6cfd-4940-b176-3d23d7925e42"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"def RGB2YCoCg(rgb_colors):\n",
" mat = np.array([[0.25,0.5,0.25],[0.5,0,-0.5],[-0.25,0.5,-0.25]])\n",
" return (np.dot(mat,rgb_colors.T)).T\n",
"\n",
"def YCoCg2RGB(YCoCg_colors):\n",
" mat = np.array([[1,1,-1],[1,0,1],[1,-1,-1]])\n",
" return (np.dot(mat,YCoCg_colors.T)).T\n",
"\n",
"print(\"RGB Colors:\\n\",colors)\n",
"\n",
"YCoCg_colors = RGB2YCoCg(colors)\n",
"print(\"YCoCg Colors:\\n:\",YCoCg_colors)\n",
"\n",
"print(\"back to rgbColors:\\n:\",YCoCg2RGB(YCoCg_colors))\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "MW-uhL9uAD0a",
"outputId": "fb0efd57-baad-41a3-9d19-f2e97a350340"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"RGB Colors:\n",
" [[0.19151945 0.62210877 0.43772774]\n",
" [0.78535858 0.77997581 0.27259261]\n",
" [0.27646426 0.80187218 0.95813935]\n",
" [0.87593263 0.35781727 0.50099513]\n",
" [0.68346294 0.71270203 0.37025075]\n",
" [0.56119619 0.50308317 0.01376845]]\n",
"YCoCg Colors:\n",
": [[ 0.46836618 -0.12310414 0.15374259]\n",
" [ 0.6544757 0.25638299 0.12550011]\n",
" [ 0.70958699 -0.34083755 0.09228519]\n",
" [ 0.52314058 0.18746875 -0.16532331]\n",
" [ 0.61977944 0.15660609 0.09292259]\n",
" [ 0.39528274 0.27371387 0.10780042]]\n",
"back to rgbColors:\n",
": [[0.19151945 0.62210877 0.43772774]\n",
" [0.78535858 0.77997581 0.27259261]\n",
" [0.27646426 0.80187218 0.95813935]\n",
" [0.87593263 0.35781727 0.50099513]\n",
" [0.68346294 0.71270203 0.37025075]\n",
" [0.56119619 0.50308317 0.01376845]]\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"YCoCg_AABBmin = np.amin(YCoCg_colors,axis=0)\n",
"YCoCg_AABBmax = np.amax(YCoCg_colors,axis=0)\n",
"\n",
"# redefine draw a line to transfer YCoCg color back to rgb space when drawing\n",
"def draw_a_line(ax,p0,p1):\n",
" # print(\"YCOCG line\")\n",
" p0 = YCoCg2RGB(p0)\n",
" p1 = YCoCg2RGB(p1)\n",
" ax.plot3D([p0[0],p1[0]],[p0[1],p1[1]],[p0[2],p1[2]],'o--c') # https://matplotlib.org/stable/api/_as_gen/matplotlib.axes.Axes.plot.html#matplotlib.axes.Axes.plot format string\n",
"\n",
"draw_aabb(ax,YCoCg_AABBmin,YCoCg_AABBmax)\n",
"\n",
"display(fig)\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 248
},
"id": "Iun8uCykBUAR",
"outputId": "39bc1384-aa65-439a-9b56-4906f1980b27"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
}
]
}
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