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@barrbrain
Last active April 7, 2020 15:40
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Chroma quantizer balance (subset3-y4m444)
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{
"cells": [
{
"cell_type": "raw",
"metadata": {},
"source": [
"<script>\n",
" function code_toggle() {\n",
" if (code_shown){\n",
" $('div.input').hide('500');\n",
" $('#toggleButton').val('Show Code')\n",
" } else {\n",
" $('div.input').show('500');\n",
" $('#toggleButton').val('Hide Code')\n",
" }\n",
" code_shown = !code_shown\n",
" }\n",
"\n",
" $( document ).ready(function(){\n",
" code_shown=false;\n",
" $('div.input').hide()\n",
" });\n",
"</script>\n",
"<form action=\"javascript:code_toggle()\"><input type=\"submit\" id=\"toggleButton\" value=\"Show Code\"></form>"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/barrbrain/anaconda3/lib/python3.7/site-packages/scipy/interpolate/_fitpack_impl.py:976: RuntimeWarning: No more knots can be added because the additional knot would\n",
"coincide with an old one. Probable cause: s too small or too large\n",
"a weight to an inaccurate data point. (fp>s)\n",
"\tkx,ky=1,1 nx,ny=28,4 m=256 fp=14.040405 s=0.000000\n",
" warnings.warn(RuntimeWarning(_iermess2[ierm][0] + _mess))\n",
"/Users/barrbrain/anaconda3/lib/python3.7/site-packages/scipy/interpolate/_fitpack_impl.py:976: RuntimeWarning: No more knots can be added because the additional knot would\n",
"coincide with an old one. Probable cause: s too small or too large\n",
"a weight to an inaccurate data point. (fp>s)\n",
"\tkx,ky=1,1 nx,ny=28,4 m=256 fp=11.015342 s=0.000000\n",
" warnings.warn(RuntimeWarning(_iermess2[ierm][0] + _mess))\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1152x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.interpolate import PchipInterpolator\n",
"from scipy.interpolate import RectBivariateSpline\n",
"from scipy.interpolate import interp2d\n",
"from scipy.interpolate import griddata\n",
"\n",
"log_target_q = np.loadtxt('log_target_q.csv', delimiter=',')\n",
"log_q_y, log_q_u, log_q_v = [\n",
" interp2d(log_target_q.T[0],\n",
" log_target_q.T[1],\n",
" log_target_q.T[N] / 2**57,\n",
" copy=False) for N in range(2, 5)\n",
"]\n",
"\n",
"def interp_xy(N):\n",
" N0 = N // 4 * 4\n",
" x0 = log_q_y(N0, qs).T[0]\n",
" y0 = log_q_u(N0, qs).T[0] - x0\n",
" \n",
" x1 = log_q_y(N0 + 4, qs).T[0]\n",
" y1 = log_q_u(N0 + 4, qs).T[0] - x1\n",
"\n",
" x = (x1 * (N - N0) + x0 * (N0 + 4 - N)) / 4\n",
" y = (y1 * (N - N0) + y0 * (N0 + 4 - N)) / 4\n",
" return x, y\n",
"\n",
"raw_data = np.loadtxt('subset3-y4m444.csv', delimiter=',')\n",
"ms = np.array(sorted(set(raw_data.T[0])), dtype=int)\n",
"qs = np.array(sorted(set(raw_data.T[1])), dtype=int)\n",
"M_interp = 16\n",
"Ms = np.linspace(min(ms), max(ms), (len(ms) - 1) * M_interp + 1)\n",
"\n",
"\n",
"def aggregate(data, drop=None, label=None):\n",
" pixels = data.T[5] * data.T[6] * 3 // 2\n",
" for Q in qs:\n",
" rate = []\n",
" psnr = []\n",
" de = []\n",
" for M in ms:\n",
" idx = (data.T[0] == M) & (data.T[1] == Q)\n",
" if drop is not None and label is not None:\n",
" idx = idx & (label != drop)\n",
" px_idx = pixels[idx]\n",
" px_sum = px_idx.sum()\n",
" rate.append(data[idx, 2].sum() * 8 / px_sum)\n",
" psnr.append((data[idx, 3] * px_idx).sum() / px_sum)\n",
" de.append((data[idx, 4] * px_idx).sum() / px_sum)\n",
" # Interpolate the results\n",
" rate_ = np.poly1d(np.polyfit(ms, np.log(rate), 3))\n",
" psnr_ = np.poly1d(np.polyfit(ms, psnr, 3))\n",
" de_ = np.poly1d(np.polyfit(ms, de, 3))\n",
" for M in ms:\n",
" yield (*log_q_y(M, Q), *log_q_u(M, Q), *log_q_v(M, Q), rate_(M),\n",
" psnr_(M), de_(M))\n",
"\n",
"\n",
"data = np.array([v for v in aggregate(raw_data)])\n",
"\n",
"\n",
"def mkgrid(data):\n",
" ys_ = data.T[1] - data.T[0]\n",
" xs = np.linspace(data.T[0].min(), data.T[0].max(), 1025)\n",
" ys = np.linspace(ys_.min()*2, ys_.max()*2, 1025)\n",
" return np.meshgrid(xs, ys)\n",
"\n",
"\n",
"grid_x, grid_y = mkgrid(data)\n",
"\n",
"\n",
"def resample(data, D, grid_x, grid_y, deg):\n",
" g = griddata((data.T[0], data.T[1] - data.T[0]), data.T[D],\n",
" (grid_x, grid_y), 'cubic')\n",
"# idx = np.isfinite(g)\n",
"# return griddata((grid_x[idx], grid_y[idx]), g[idx], (grid_x, grid_y),\n",
"# 'nearest')\n",
" ps = []\n",
" for i in range(g.shape[1]):\n",
" x = np.linspace(-1, 1, g.shape[0])\n",
" y = g.T[i]\n",
" idx = np.isfinite(y)\n",
" ps.append(np.polyfit(x[idx], y[idx], deg=deg))\n",
" ps = np.array(ps)\n",
" for e in range(deg + 1):\n",
" x = np.arange(ps.shape[0])\n",
" p = np.polyfit(x, ps.T[e], deg=6)\n",
" ps.T[e] = np.poly1d(p)(x)\n",
" for i in range(g.shape[1]):\n",
" x = np.linspace(-1, 1, g.shape[0])\n",
" y = g.T[i]\n",
" idx = np.isfinite(y)\n",
" first = np.argwhere(idx)[0][0]\n",
" last = np.argwhere(idx)[-1][0]\n",
" y[idx ^ True] = np.poly1d(ps[i])(x[idx ^ True])\n",
" p = np.polyfit(x, y, deg=deg, w= 1 - np.linspace(-1, 1, x.size)**2 + idx)\n",
" g.T[i][idx ^ True] = np.poly1d(p)(x[idx ^ True])\n",
" g.T[i][:first] += y[first] - np.poly1d(p)(x[first])\n",
" g.T[i][last + 1:] += y[last] - np.poly1d(p)(x[last])\n",
" return g\n",
"\n",
"\n",
"rate_grid = resample(data, 3, grid_x, grid_y, 1)\n",
"psnr_grid = resample(data, 4, grid_x, grid_y, 0)\n",
"de_grid = resample(data, 5, grid_x, grid_y, 1)\n",
"\n",
"rate_fn = RectBivariateSpline(grid_x[0], grid_y.T[0], rate_grid.T)\n",
"psnr_fn = RectBivariateSpline(grid_x[0], grid_y.T[0], psnr_grid.T)\n",
"de_fn = RectBivariateSpline(grid_x[0], grid_y.T[0], de_grid.T)\n",
"\n",
"extent = (grid_x.min(), grid_x.max(), grid_y.min(), grid_y.max())\n",
"\n",
"x, y = interp_xy(21.477)\n",
"y = (y - 1 / 128 * x * x) + 1 / 128\n",
"plt.figure(figsize=(16, 4))\n",
"plt.subplot(131)\n",
"plt.title('log(rate)')\n",
"plt.ylabel('log2(qu-qy)')\n",
"plt.xlabel('log2(qy)')\n",
"# plt.imshow(rate_grid, extent=extent, origin='lower', cmap='nipy_spectral')\n",
"plt.contourf(grid_x, grid_y, rate_grid, 40, cmap='RdGy')\n",
"plt.plot(x, y)\n",
"plt.ylim([-.2, .8])\n",
"plt.subplot(132)\n",
"plt.title('PSNR')\n",
"plt.xlabel('log2(qy)')\n",
"# plt.imshow(psnr_grid, extent=extent, origin='lower', cmap='nipy_spectral')\n",
"plt.contourf(grid_x, grid_y, psnr_grid, 40, cmap='RdGy')\n",
"plt.plot(x, y)\n",
"plt.ylim([-.2, .8])\n",
"plt.subplot(133)\n",
"plt.title('CIEDE2000')\n",
"plt.xlabel('log2(qy)')\n",
"# plt.imshow(de_grid, extent=extent, origin='lower', cmap='nipy_spectral')\n",
"plt.contourf(grid_x, grid_y, de_grid, 40, cmap='RdGy')\n",
"plt.plot(x, y)\n",
"plt.ylim([-.2, .8]);"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x576 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def plot_rd(dist_fn, N, C, offset=0, alpha=0):\n",
" x, y = interp_xy(N)\n",
" y = (y + alpha * x * x) + offset\n",
" X = np.exp(rate_fn.ev(x, y))\n",
" Y = dist_fn.ev(x, y)\n",
" idx = np.isfinite(X) & np.isfinite(Y)\n",
" X, Y = X[idx], Y[idx]\n",
" idx = np.argsort(Y)\n",
" Y_ = np.linspace(Y.min(), Y.max(), 1000)\n",
" X_ = np.exp(PchipInterpolator(Y[idx], np.log(X[idx]))(Y_))\n",
" plt.semilogx(X_, Y_, color=C, lw=1)\n",
"\n",
"\n",
"plt.figure(figsize=(16, 8))\n",
"plt.subplot(121)\n",
"plt.title('subset3 4:4:4')\n",
"plt.xlabel('bits per pixel')\n",
"plt.ylabel('CIEDE2000')\n",
"for N in ms:\n",
" plot_rd(de_fn, N, plt.cm.gray(int(N) * 3 + 40))\n",
"plot_rd(de_fn, 21.477, 'r', 1 / 128, -1 / 128)\n",
"plt.xlim(np.exp([data.T[3].min(), data.T[3].max()]))\n",
"plt.ylim([data.T[5].min(), data.T[5].max()])\n",
"\n",
"plt.subplot(122)\n",
"plt.title('subset3 4:4:4')\n",
"plt.xlabel('bits per pixel')\n",
"plt.ylabel('PSNR')\n",
"for N in ms:\n",
" plot_rd(psnr_fn, N, plt.cm.gray(int(N) * 3 + 40))\n",
"plot_rd(psnr_fn, 21.477, 'r', 1 / 128, -1 / 128)\n",
"plt.xlim(np.exp([data.T[3].min(), data.T[3].max()]))\n",
"plt.ylim([data.T[4].min(), data.T[4].max()]);"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0043352087954451335, -0.036561259712624694, 343.62572492090226)"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x648 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def XY(dist_fn, N, offset, alpha):\n",
" x, y = interp_xy(N)\n",
" y = (y + alpha * x * x) + offset\n",
" X = np.exp(rate_fn.ev(x, y))\n",
" Y = dist_fn.ev(x, y)\n",
" idx = np.isfinite(X) & np.isfinite(Y)\n",
" return X[idx], Y[idx]\n",
"\n",
"\n",
"def get_bdr(dist_fn, offset=0, alpha=0):\n",
"\n",
" top = min([XY(dist_fn, N, offset, alpha)[1].max() for N in ms])\n",
" bottom = max([XY(dist_fn, N, offset, alpha)[1].min() for N in ms])\n",
"\n",
" def interp(N):\n",
" X, Y = XY(dist_fn, N, offset, alpha)\n",
" idx = np.argsort(Y)\n",
" pchip = PchipInterpolator(Y[idx], X[idx], extrapolate=True)\n",
" return pchip.integrate(bottom, top) / (top - bottom)\n",
"\n",
" base = interp(44)\n",
" return [interp(N) - base for N in Ms]\n",
"\n",
"\n",
"de_bdr = get_bdr(de_fn, 1 / 128, -1 / 128)\n",
"de_bdr_ = np.polyfit(x=Ms, y=de_bdr, deg=3)\n",
"de_bdr__ = np.polyder(de_bdr_)\n",
"psnr_bdr = get_bdr(psnr_fn, 1 / 128, -1 / 128)\n",
"psnr_bdr_ = np.polyfit(x=Ms, y=psnr_bdr, deg=3)\n",
"psnr_bdr__ = np.polyder(psnr_bdr_)\n",
"\n",
"best = np.roots(np.polyder(de_bdr__ + psnr_bdr__))[0]\n",
"\n",
"plt.figure(figsize=(16, 9))\n",
"plt.title('subset3')\n",
"plt.xlabel('chroma quantizer gradient Q6')\n",
"plt.ylabel('BD-rate')\n",
"# Q8 to Q6 (/4), since we sampled with a step of 4.\n",
"plt.scatter(Ms / 4, de_bdr, s=3)\n",
"plt.scatter(Ms / 4, psnr_bdr, s=3)\n",
"plt.plot(Ms / 4, np.poly1d(de_bdr_)(Ms), label='CIEDE2000')\n",
"plt.plot(Ms / 4, np.poly1d(psnr_bdr_)(Ms), label='PSNR')\n",
"plt.vlines(x=best / 4,\n",
" ymax=max(de_bdr),\n",
" ymin=min(psnr_bdr),\n",
" label='best - ' + str(int(round(best / 4))))\n",
"plt.xlim([0, 25])\n",
"plt.ylim([min(psnr_bdr), max(de_bdr)])\n",
"plt.legend()\n",
"np.exp(np.poly1d(de_bdr_)(best)) - 1, np.exp(\n",
" np.poly1d(psnr_bdr_)(best)) - 1, best * 16"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"scrolled": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
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"(0.0078125, -0.001953125, 6.095852258609932)\n",
"(0.0078125, -0.0009765625, 6.179637024246331)\n",
"(0.0078125, 0.0, 6.260560692576785)\n",
"(0.009765625, -0.015625, 4.212253949725135)\n",
"(0.009765625, -0.0146484375, 4.365901700621747)\n",
"(0.009765625, -0.013671875, 4.532963342560737)\n",
"(0.009765625, -0.0126953125, 4.70351617809313)\n",
"(0.009765625, -0.01171875, 4.87240610159091)\n",
"(0.009765625, -0.0107421875, 5.040833333595911)\n",
"(0.009765625, -0.009765625, 5.203392701939397)\n",
"(0.009765625, -0.0087890625, 5.357362065138517)\n",
"(0.009765625, -0.0078125, 5.501015898195442)\n",
"(0.009765625, -0.0068359375, 5.637950165752937)\n",
"(0.009765625, -0.005859375, 5.765646532203258)\n",
"(0.009765625, -0.0048828125, 5.881983508714695)\n",
"(0.009765625, -0.00390625, 5.985577322703068)\n",
"(0.009765625, -0.0029296875, 6.078748433547386)\n",
"(0.009765625, -0.001953125, 6.1642711986465395)\n",
"(0.009765625, -0.0009765625, 6.243329732792251)\n",
"(0.009765625, 0.0, 6.321520495357919)\n",
"(0.01171875, -0.015625, 4.513262113433772)\n",
"(0.01171875, -0.0146484375, 4.636680023465257)\n",
"(0.01171875, -0.013671875, 4.778157359847217)\n",
"(0.01171875, -0.0126953125, 4.921110132704357)\n",
"(0.01171875, -0.01171875, 5.068603604824508)\n",
"(0.01171875, -0.0107421875, 5.215363955374719)\n",
"(0.01171875, -0.009765625, 5.357576560027482)\n",
"(0.01171875, -0.0087890625, 5.4946656559020015)\n",
"(0.01171875, -0.0078125, 5.6263652084214275)\n",
"(0.01171875, -0.0068359375, 5.751334254911237)\n",
"(0.01171875, -0.005859375, 5.86607929373158)\n",
"(0.01171875, -0.0048828125, 5.968894080800088)\n",
"(0.01171875, -0.00390625, 6.061728584419664)\n",
"(0.01171875, -0.0029296875, 6.147811725537478)\n",
"(0.01171875, -0.001953125, 6.227453096362672)\n",
"(0.01171875, -0.0009765625, 6.302708596313561)\n",
"(0.01171875, 0.0, 6.3781493397795845)\n",
"(0.013671875, -0.015625, 4.78022898028491)\n",
"(0.013671875, -0.0146484375, 4.881555582535074)\n",
"(0.013671875, -0.013671875, 4.99326383133204)\n",
"(0.013671875, -0.0126953125, 5.11814127685362)\n",
"(0.013671875, -0.01171875, 5.2425671551490165)\n",
"(0.013671875, -0.0107421875, 5.372242570327426)\n",
"(0.013671875, -0.009765625, 5.499168431551629)\n",
"(0.013671875, -0.0087890625, 5.623858813459651)\n",
"(0.013671875, -0.0078125, 5.743204436066824)\n",
"(0.013671875, -0.0068359375, 5.854647188542133)\n",
"(0.013671875, -0.005859375, 5.954661112219798)\n",
"(0.013671875, -0.0048828125, 6.046624313448011)\n",
"(0.013671875, -0.00390625, 6.131917875672402)\n",
"(0.013671875, -0.0029296875, 6.211368247014226)\n",
"(0.013671875, -0.001953125, 6.28582011494471)\n",
"(0.013671875, -0.0009765625, 6.357128454080975)\n",
"(0.013671875, 0.0, 6.432025275515728)\n",
"(0.015625, -0.015625, 5.013253277879162)\n",
"(0.015625, -0.0146484375, 5.094035933030416)\n",
"(0.015625, -0.013671875, 5.192586181286765)\n",
"(0.015625, -0.0126953125, 5.294669357837344)\n",
"(0.015625, -0.01171875, 5.406843521403071)\n",
"(0.015625, -0.0107421875, 5.519062743688766)\n",
"(0.015625, -0.009765625, 5.633182284073982)\n",
"(0.015625, -0.0087890625, 5.744703867360216)\n",
"(0.015625, -0.0078125, 5.850154822144546)\n",
"(0.015625, -0.0068359375, 5.945951102464792)\n",
"(0.015625, -0.005859375, 6.034738010961699)\n",
"(0.015625, -0.0048828125, 6.117658252666519)\n",
"(0.015625, -0.00390625, 6.196509794013508)\n",
"(0.015625, -0.0029296875, 6.269817948083487)\n",
"(0.015625, -0.001953125, 6.340000171137065)\n",
"(0.015625, -0.0009765625, 6.408297638017683)\n",
"(0.015625, 0.0, 6.4819514658169535)\n"
]
}
],
"source": [
"best = []\n",
"raw_label = raw_data.T[7].astype(int) - 1\n",
"label_map = np.arange(raw_label.max() + 1) % 4\n",
"import multiprocessing\n",
"\n",
"def optimize(drop):\n",
" data = np.array([v for v in aggregate(raw_data, drop, label)])\n",
"\n",
" rate_grid = resample(data, 3, grid_x, grid_y, 1)\n",
" psnr_grid = resample(data, 4, grid_x, grid_y, 0)\n",
" de_grid = resample(data, 5, grid_x, grid_y, 1)\n",
"\n",
" rate_fn = RectBivariateSpline(grid_x[0], grid_y.T[0], rate_grid.T)\n",
" psnr_fn = RectBivariateSpline(grid_x[0], grid_y.T[0], psnr_grid.T)\n",
" de_fn = RectBivariateSpline(grid_x[0], grid_y.T[0], de_grid.T)\n",
"\n",
" de_bdr = get_bdr(de_fn, offset_, alpha_)\n",
" de_bdr_ = np.polyfit(x=Ms, y=de_bdr, deg=3)\n",
" de_bdr__ = np.polyder(de_bdr_)\n",
" psnr_bdr = get_bdr(psnr_fn, offset_, alpha_)\n",
" psnr_bdr_ = np.polyfit(x=Ms, y=psnr_bdr, deg=3)\n",
" psnr_bdr__ = np.polyder(psnr_bdr_)\n",
"\n",
" return np.roots(np.polyder(de_bdr__ + psnr_bdr__))[0]\n",
"\n",
"for offset in np.linspace(0, 1/64, 9):\n",
" for alpha in np.linspace(-1/64, 0, 17):\n",
" # for foo in range(25):\n",
" np.random.shuffle(label_map)\n",
" label = label_map[raw_label]\n",
" offset_ = offset\n",
" alpha_ = alpha\n",
" pool = multiprocessing.Pool(4)\n",
" # Q8 to Q6 (/4), since we sampled with a step of 4. \n",
" v = np.mean(pool.map(optimize, range(4))) / 4\n",
" best.append((offset, alpha, v))\n",
" # best.extend(pool.map(optimize, range(4)))\n",
" pool.close()\n",
" pool.join()\n",
" print((offset, alpha, v))\n",
"\n",
"# # Q8 to Q6 (/4), since we sampled with a step of 4. \n",
"# best = np.array(sorted(best))/4\n",
"# best"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"scrolled": false
},
"outputs": [],
"source": [
"# import seaborn as sns\n",
"# from scipy.stats import mstats\n",
"# from scipy.stats import norm\n",
"# best_ = mstats.winsorize(best,(.05,.05))\n",
"# plt.figure(figsize=(16, 9))\n",
"# sns.distplot(best_, rug=True, hist=False, fit=norm, kde=True);\n",
"# best_.mean(), best_.std()"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"best_ = np.array(best)\n",
"plt.clabel(plt.contour(*best_.reshape((9,17,3)).T));"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"def get_bdr(dist_fn, best):\n",
"\n",
" top = min([XY(dist_fn, N*4, offset, alpha)[1].max() for offset, alpha, N in best])\n",
" bottom = max([XY(dist_fn, N*4, offset, alpha)[1].min() for offset, alpha, N in best])\n",
"\n",
" def interp(offset, alpha, N):\n",
" X, Y = XY(dist_fn, N*4, offset, alpha)\n",
" idx = np.argsort(Y)\n",
" pchip = PchipInterpolator(Y[idx], X[idx], extrapolate=True)\n",
" return pchip.integrate(bottom, top) / (top - bottom)\n",
"\n",
" base = interp(*best[16])\n",
" return [interp(offset, alpha, N) - base for offset, alpha, N in best]\n",
"\n",
"de_bdr = get_bdr(de_fn, best);\n",
"psnr_bdr = get_bdr(psnr_fn, best);"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"best__ = best_.reshape((9,17,3))\n",
"de_bdr_ = np.array(de_bdr).reshape(9,17)\n",
"plt.clabel(plt.contour(*best__.T[:2], de_bdr_.T*1000, 20))\n",
"plt.plot(*np.array([xy[np.argmin(row)][:2] for row, xy in zip(de_bdr_, best__)]).T);"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"psnr_bdr_ = np.array(psnr_bdr).reshape(9,17)\n",
"plt.clabel(plt.contour(*best__.T[:2], psnr_bdr_.T*1000, 20))\n",
"plt.plot(*np.array([xy[np.argmax(row)][:2] for row, xy in zip(psnr_bdr_, best__)]).T);"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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