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crackwitz/so-72635492.ipynb

Last active June 16, 2022 18:09
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so-72635492.ipynb
{
"cells": [
{
"cell_type": "markdown",
"id": "370b546f-b59b-4454-bbaa-4390fd6339cc",
"metadata": {},
"source": [
"https://stackoverflow.com/questions/72635492/what-are-the-inaccuracies-of-this-inverse-map-function-in-opencv"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "d044ab3a-490a-446a-9bfc-0999d3ec0247",
"metadata": {},
"outputs": [],
"source": [
"cv2 = cv"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "2e5d7d66-5419-4c9a-a542-bc01f6dfdf42",
"metadata": {},
"outputs": [],
"source": [
"im = np.zeros((1080, 1920, 3), 'u1')\n",
"im[::32,:] = 255\n",
"im[:, ::32] = 255\n",
"cv.line(im, (0,0), (1920, 1080), thickness=3, color=(255,255,255))\n",
"cv.line(im, (0,1080), (1920, 0), thickness=3, color=(255,255,255));"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "eeaca78a-f173-4314-84cd-3d2d9d4e4ce6",
"metadata": {},
"outputs": [],
"source": [
"# import image\n",
"#img = cv2.imread(\"test-image.png\")\n",
"img = im\n",
"h, w = img.shape[:2]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "6515df12-587b-4c0d-b1f6-87f820db984f",
"metadata": {},
"outputs": [],
"source": [
"A = -1010\n",
"B = -3.931\n",
"C = 5.258\n",
"D = 1920/2\n",
"M = -193.8\n",
"N = 1740\n",
"\n",
"# N = 960\n",
"# M = 960\n",
"# B = 0\n",
"# C = 1\n",
"# A = 960\n",
"# D = 960\n",
"\n",
"def get_tan_func_value(x):\n",
" return A * np.tan((((x-N)/M)+B)/C) + D\n",
"\n",
"# x' = A * np.tan((((x-N)/M)+B)/C) + D\n",
"# x' - D = A * np.tan((((x-N)/M)+B)/C)\n",
"# (x' - D) / A = np.tan((((x-N)/M)+B)/C)\n",
"# np.arctan((x' - D) / A) = (((x-N)/M)+B) / C\n",
"# np.arctan((x' - D) / A) * C = ((x-N)/M) + B\n",
"# np.arctan((x' - D) / A) * C - B = (x-N) / M\n",
"# (np.arctan((x' - D) / A) * C - B) * M = (x-N)\n",
"# (np.arctan((x' - D) / A) * C - B) * M + N = x\n",
"# M * (C * np.arctan((x' - D) / A) - B) + N = x\n",
"\n",
"def get_inverse_tan_func_value(x):\n",
" return M * (C*np.arctan((x-D)/A) - B) + N"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "7dacdf03-ac50-4bb8-9e99-6694dccfa725",
"metadata": {},
"outputs": [],
"source": [
"x = np.arange(w)\n",
"assert np.allclose(x, get_inverse_tan_func_value(get_tan_func_value(x)))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "369e738b-ab22-445e-8d2b-a2a042a984a4",
"metadata": {},
"outputs": [],
"source": [
"# default y map\n",
"map_y = np.zeros((h, w), dtype=np.float32)\n",
"map_y[:] = np.arange(h)[:,None]\n",
"\n",
"# x tan function map\n",
"map_x_tan = np.zeros((h, w), dtype=np.float32)\n",
"map_x_tan[:] = get_tan_func_value(np.arange(w))\n",
"\n",
"# x inverse tan function map\n",
"map_x_inverse_tan = np.zeros((h, w), dtype=np.float32)\n",
"map_x_inverse_tan[:] = get_inverse_tan_func_value(np.arange(w))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "a8212356-f750-4890-9d04-0a1ff04392e7",
"metadata": {},
"outputs": [],
"source": [
"# convert x tan map to 2 channel (x,y) map\n",
"(xymap_tan, _) = cv2.convertMaps(map1=map_x_tan, map2=map_y, dstmap1type=cv2.CV_32FC2)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "e83fb558-8613-46b7-9273-4c93ae3126d0",
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<PIL.Image.Image image mode=RGB size=1920x1080 at 0x1F892D15DC0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# remap and write the target image (inverse tan function with normal map)\n",
"target = cv2.remap(img, map_x_inverse_tan, map_y, cv2.INTER_LINEAR)\n",
"imshow(target)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "72cc8bd6-9048-48c9-9638-2aa57f363b1d",
"metadata": {},
"outputs": [],
"source": [
"# answer from linked post\n",
"def invert_map(F):\n",
" (h, w) = F.shape[:2] # (h, w, 2), \"xymap\"\n",
" I = np.zeros_like(F)\n",
" I[:,:,1], I[:,:,0] = np.indices((h, w)) # identity map\n",
" P = np.copy(I)\n",
" for i in range(10):\n",
" correction = I - cv2.remap(src=F, map1=P, map2=None, interpolation=cv2.INTER_LINEAR)\n",
" print(\"{:2d}: {:9.4f} {:.4f}\".format(i+1, np.abs(correction).max(), np.linalg.norm(correction)))\n",
" P += correction * 0.5\n",
" return P"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "3c9c389f-d48b-4e54-aa38-74deb1d5105a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
" 1: 482.4356 212503.6562\n",
" 2: 68.4050 26141.4688\n",
" 3: 9.3263 7442.3008\n",
" 4: 3.2833 2792.1829\n",
" 5: 1.2897 1174.6047\n",
" 6: 0.6157 524.5807\n",
" 7: 0.3181 244.1801\n",
" 8: 0.1712 117.1662\n",
" 9: 0.0939 59.2871\n",
"10: 0.0592 35.0707\n"
]
}
],
"source": [
"# invert the 2 channel x tan map\n",
"xymap_inverted = invert_map(xymap_tan)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "9c794a14-82ee-47ce-87b0-cfd91a0f2744",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<PIL.Image.Image image mode=RGB size=1920x1080 at 0x1F896148310>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# remap and write the attempted image (normal tan function with inverted map) \n",
"attempt1 = cv2.remap(img, xymap_inverted, None, cv2.INTER_LINEAR)\n",
"imshow(attempt1)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "5f94055d-64cc-43f3-bdc6-995a63cb3a71",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 203.70856 204.23886 204.7697 ... 1751.0433 1751.5747 1752.1056 ]\n",
"[ 203.70645 204.22781 204.75662 ... 1751.0564 1751.5884 1752.114 ]\n"
]
},
{
"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": [
"print(map_x_inverse_tan[0,:])\n",
"print(xymap_inverted[0,:,0])\n",
"plt.plot(xymap_inverted[0,:,0] - map_x_inverse_tan[0,:])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "cb980f46-8e10-4055-81e1-95f9d0dce541",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"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": "3.9.13"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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