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Chroma from Luma in Action
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# CfL in Action\n",
"\n",
"Although The YCbCr/YUV color spaces are designed to eliminate correlation between color planes. Local correlation between color planes can exist. Chroma from Luma (CfL) exploits this correlation by predicting chroma pixels using reconstructed luma pixel values.\n",
"\n",
"In this notebook, we will demonstrate in a visual way how CfL works. To do so, we will convert an image from RGB to YCbCr and using the luma values show all possible predictions that can be acheived using barrbrain's simple 1D notebook."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"<script>\n",
"code_show=true; \n",
"function code_toggle() {\n",
" if (code_show){\n",
" $('div.input').hide();\n",
" $('#toggle').attr('value', 'Show code') \n",
" } else {\n",
" $('div.input').show();\n",
" $('#toggle').attr('value', 'Hide code') \n",
" }\n",
" code_show = !code_show\n",
"} \n",
"$( document ).ready(code_toggle);\n",
"</script>\n",
"<form action=\"javascript:code_toggle()\"><input type=\"submit\" id=\"toggle\" value=\"Show code\"></form>"
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"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"execution_count": 1,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from IPython.display import HTML\n",
"HTML('''<script>\n",
"code_show=true; \n",
"function code_toggle() {\n",
" if (code_show){\n",
" $('div.input').hide();\n",
" $('#toggle').attr('value', 'Show code') \n",
" } else {\n",
" $('div.input').show();\n",
" $('#toggle').attr('value', 'Hide code') \n",
" }\n",
" code_show = !code_show\n",
"} \n",
"$( document ).ready(code_toggle);\n",
"</script>\n",
"<form action=\"javascript:code_toggle()\"><input type=\"submit\" id=\"toggle\" value=\"Show code\"></form>''')"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"from scipy.ndimage import imread\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import locale\n",
"\n",
"def conv_ycbcr(im):\n",
" y = np.array([0.213, 0.715, 0.072])\n",
" u = np.array([-0.115, -0.385, 0.5])\n",
" v = np.array([0.5, -0.454, -0.046])\n",
" color_matrix = np.array([y, u, v])\n",
" yuv = im.dot(color_matrix.T)\n",
" yuv[:,:,[1,2]] += 128\n",
" \n",
" return yuv\n",
"\n",
"def conv_rgb(im):\n",
" im[:,:,[1,2]] -= 128\n",
" \n",
" r = np.array([1, 0, 1.575])\n",
" g = np.array([1, -0.187, -0.468])\n",
" b = np.array([1, 1.856, 0])\n",
" color_matrix = np.array([r,g,b])\n",
" \n",
" rgb = im.dot(color_matrix.T)\n",
" rgb[rgb < 0] = 0\n",
" rgb[rgb > 255] = 255\n",
" rgb = np.uint8(rgb)\n",
" \n",
" return rgb"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"In AV1, CfL is applied to intra prediction blocks. For this example, we will find a block with highly correlated luma and chroma planes."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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6HdVn7f6o0/L7pHupQF2bTKNCqnpU5ZmVm3Ci3j9ios7JiboO55N0Ppn4OhOf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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4cf5acd6d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"im = imread(\"RedPanda.jpg\")\n",
"yuv = conv_ycbcr(im)\n",
"height, width, planes = im.shape\n",
"block_size = 32\n",
"height = height // block_size * block_size\n",
"width = width // block_size * block_size\n",
"max_Corr = 0\n",
"for y in range(0, height, block_size):\n",
" for x in range(0, width, block_size):\n",
" block = yuv[y:y+block_size, x:x+block_size, :]\n",
" corr = (np.corrcoef(block[:,:,0].flatten(), block[:,:,1].flatten()) + np.corrcoef(block[:,:,0].flatten(), block[:,:,2].flatten()))/2\n",
" corr = abs(corr[0,1])\n",
" if corr > max_Corr:\n",
" max_Corr = corr\n",
" best_x = x\n",
" best_y = y\n",
"\n",
"im = im[best_y:best_y+block_size, best_x:best_x+block_size,:]\n",
"yuv = yuv[best_y:best_y+block_size, best_x:best_x+block_size,:]\n",
"\n",
"plt.figure(figsize=(10,4))\n",
"plt.subplot(1,2,1)\n",
"plt.imshow(im)\n",
"plt.title(\"Chosen Block\\nSize: %d x %d\" % (block_size, block_size))\n",
"plt.axis('off');\n",
"\n",
"plt.subplot(1,2,2)\n",
"plt.scatter(yuv[:,:,0], yuv[:,:,1], label='Cb', color=\"b\")\n",
"plt.scatter(yuv[:,:,0], yuv[:,:,2], label='Cr', color=\"r\")\n",
"plt.title(\"Correlation between Luma and Chroma\")\n",
"plt.xlabel(\"Luma\")\n",
"plt.ylabel(\"Chroma\");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The prediction built by CfL is based on the reconstructed Luma pixels. In this example, we will use the original Luma pixels as the reconstructed Luma pixel\n",
"\n",
"In the AV1 version of CfL, the Chroma block is first predicted using the average pixel values of the neighboring pixels above and to the left of the block. For this example, we predict the chromatic planes using the average value of each plane."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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Qs/iyXKLTigfS7rl79ttaRtQtcGf6K+1JA5+/H8J0EjcNXpnHwKOFtCe8Pkot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\nAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f4d2446e9b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pred_u = yuv[:,:,1].mean()\n",
"pred_v = yuv[:,:,2].mean()\n",
"\n",
"luma = yuv[:,:,0]\n",
"u = np.ones((block_size, block_size)) * pred_u\n",
"v = np.ones((block_size, block_size)) * pred_v\n",
"\n",
"def error(im1, im2):\n",
" diff = im1 - im2\n",
" return np.round(np.sum(np.multiply(diff,diff)))\n",
"\n",
"pred_rgb = conv_rgb(np.dstack([luma, u, v]))\n",
"\n",
"plt.figure(figsize=(5,4))\n",
"plt.imshow(pred_rgb)\n",
"#plt.title(\"Prediction\\n(Luma + Average Chroma Value)\")\n",
"plt.axis('off');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Next, we show all possible predictions CfL can make, using barrbrain's simple 1D code book. For each prediction, we measure the squared error and pick the best one."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
@luctrudeau
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luctrudeau commented May 18, 2017

CfL Simple 1D code book for small image
cfl-codebook

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