From 5a3f144273e7c8e55d30eeee5a32cb12ec22ab9f Mon Sep 17 00:00:00 2001 From: DEEPANSHU BAGHEL <92099428+deepanshubaghel@users.noreply.github.com> Date: Sat, 12 Oct 2024 18:24:52 +0530 Subject: [PATCH] Animate me Added in computer vision dir --- .../animate_me-checkpoint.ipynb | 2447 +++++++++++++++++ .../Animate Me!/Input Image/Amy.jpg | Bin 0 -> 19515 bytes .../Animate Me!/Output Image/AmyOP.jpeg | Bin 0 -> 26734 bytes Computer Vision/Animate Me!/README.md | 11 + Computer Vision/Animate Me!/animate_me.ipynb | 2447 +++++++++++++++++ 5 files changed, 4905 insertions(+) create mode 100644 Computer Vision/Animate Me!/.ipynb_checkpoints/animate_me-checkpoint.ipynb create mode 100644 Computer Vision/Animate Me!/Input Image/Amy.jpg create mode 100644 Computer Vision/Animate Me!/Output Image/AmyOP.jpeg create mode 100644 Computer Vision/Animate Me!/README.md create mode 100644 Computer Vision/Animate Me!/animate_me.ipynb diff --git a/Computer Vision/Animate Me!/.ipynb_checkpoints/animate_me-checkpoint.ipynb b/Computer Vision/Animate Me!/.ipynb_checkpoints/animate_me-checkpoint.ipynb new file mode 100644 index 00000000..d4f03265 --- /dev/null +++ b/Computer Vision/Animate Me!/.ipynb_checkpoints/animate_me-checkpoint.ipynb @@ -0,0 +1,2447 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# _Importing Necessary Libraries_" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import cv2\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# _Reading Image and Converting into required format_" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "img = cv2.imread(\"Input Image\\Amy.jpg\")\n", + "imgRGB = cv2.cvtColor(img, cv2.COLOR_BGR2RGB)\n", + "plt.imshow(imgRGB)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## _Identifying Edges_" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "edges = cv2.Canny(imgRGB, 300, 300)\n", + "plt.imshow(edges)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## _Applying median blur to obtain edges of even density and continuity_" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "gray = cv2.cvtColor(imgRGB, cv2.COLOR_BGR2GRAY)\n", + "gray1 = cv2.medianBlur(gray, 5)\n", + "edges = cv2.adaptiveThreshold(gray1, 255, cv2.ADAPTIVE_THRESH_MEAN_C, cv2.THRESH_BINARY, 9, 5)\n", + "plt.imshow(edges, cmap='gray')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# _Magic Function - Color Quantization_" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "def color_quantization(img, k):\n", + " data = np.float32(img).reshape((-1, 3))\n", + " criteria = (cv2.TERM_CRITERIA_EPS + cv2.TERM_CRITERIA_MAX_ITER, 20, 1.0)\n", + " ret, label, center = cv2.kmeans(data, k, None, criteria, 10, cv2.KMEANS_RANDOM_CENTERS)\n", + " center = np.uint8(center)\n", + " result = center[label.flatten()]\n", + " result = result.reshape(img.shape)\n", + " return result" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## _Quantized Image with discrete color patterns_" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "img_1 = color_quantization(imgRGB, 7)\n", + "plt.imshow(img_1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## _Smoothening sharp region tranistion_" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "blurred = cv2.medianBlur(img_1, 5)\n", + "plt.imshow(blurred)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## _Finally, Adding the Edges to complete the cartoonification_" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "cartoon = cv2.bitwise_and(blurred, blurred, mask=edges)\n", + "plt.imshow(cartoon)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Another interesting approach to displaying images\n", + "-> cv2.imshow(\"Preview\", img)
\n", + "-> It creates a new window for every image displayed
\n", + "-> Perks: Easier to save images
\n", + "-> Limitation: Only 1 window at a time can be processed
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zjW4xDgaSO^RzM`?0J3iCHw8n9UnHmCFZw?MHkqaNg&Voy}!v6vD@7EUq literal 0 HcmV?d00001 diff --git a/Computer Vision/Animate Me!/README.md b/Computer Vision/Animate Me!/README.md new file mode 100644 index 00000000..8c42b9f2 --- /dev/null +++ b/Computer Vision/Animate Me!/README.md @@ -0,0 +1,11 @@ +# Animate Me! + +## About the Project: +- It is a simple OpenCV project that converts input image to a cartoon equivalent +- Unlike the classical approach, Image Quantization is used to differentiate regions + +## Further Work / Improvements: +- Can convert into an API with self adjusting Edge Parameters +- Could be worked upon to create a real-time filter used on different social media platforms + + diff --git a/Computer Vision/Animate Me!/animate_me.ipynb b/Computer Vision/Animate Me!/animate_me.ipynb new file mode 100644 index 00000000..d4f03265 --- /dev/null +++ b/Computer Vision/Animate Me!/animate_me.ipynb @@ -0,0 +1,2447 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# _Importing Necessary Libraries_" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import cv2\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# _Reading Image and Converting into required format_" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "img = cv2.imread(\"Input Image\\Amy.jpg\")\n", + "imgRGB = cv2.cvtColor(img, cv2.COLOR_BGR2RGB)\n", + "plt.imshow(imgRGB)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## _Identifying Edges_" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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0re6guOqLcxbWXxNSdqFFIFRWbMQXxOaHJ3bjSE4e8Ay+t7yS1PKeX2KzbvPnHwG8wLCqHcffLohsKrZpZyEbyF7bzL+WrkIK862OouKQFgEbMKvLeGl1Ka6FepJORZ4WAZsovn4lJen78Jx/mtVRVJzRImAjr794Fjvm6yk7FVlaBGxkzGv1/HjG69R8bzY4dPY2FRlaBGzEW17J49/7Kjdf/xrO4faZpFTFNi0CNuN+ayXP7JrJlofHIQnxeZvxUElpCftvnW11jKijRcCG0q6o57zirWy/V08SDkZXhpuWccH01ohPWgRsyNfSQtVPpnLBBWtxTiyyOo6KcVoEbCrlb1v4y7oTmbJoJ0hf87yqozm7fbha9VgNlhYBm/I2N1N8/UqaPcNon3u61XGiguOTtYz7oc7oNFhaBGxuzZMn0X7dQatjqBgWyISkT4lInYhs6rXsHhHZKyLr/F+X9HptgYhUiUiFiFwUruDxIvfVKr4z/m/svG+WXi1QYRFIS+APwJw+lj9kjJnu/3obQESmAvOAaf5tHhER7fUSBG99PYuun8M1X3mfHXfr1QIVegMWAWPM34BAR5+YCywyxnQaY3YAVcAZQeSzJUdS6Kcd73d/n67jo2tmsuCKl9lzp14HV6EVzDmBm0Vkg//jQqZ/WQGwp9c61f5lxxCRG0RklYis6qYziBiRV/viGJzZIyK6T7NyIy9c+SVEby1QITbUIvAoMB6YDtQAD/qX93V9ps8fW2PMQmNMqTGmNAH3EGNYI+HPWZjDrRHfr2/DFkb99DjDDyk1REMqAsaYWmOM1xjjAx7niyZ/NVDYa9VRwL7gItpLw7dnkdDuw9fRYXUUpUJiSEVARPJ6fXs5cOTKwWJgnoi4RWQcMBHoe0D9KNWZIXSm6ZVVFTsGHGNQRJ4HzgWyRaQa+BFwrohMp6epvxP4NoAxpkxEXgQ20zMu5k3GmJgZ3s41qoDWMR5Gv9qoY/apmDFgETDGfL2PxU/2s/59wH3BhLIrMzwVV0YX3q3bcKanI1kZmMOtbH8knzFXbrQ6nlJDou3aoRCh/MFJbLk1H8RBZprO8WcHrnFj6Lg05q5Ih50WgUGoWJDM+Ae7EaeTuaeuZdLjTVZHUr2Y5haqv+SAmSdZHSWqaBEYhFlFOzCry/CcfRKvrzwVb1mF1ZFUL97GA6Rvd4BPO1MMhk4+MgSttx9iyjeb9eSgDR2Zg1EFTlsCg+RMT+dwhxt8/hLg89LQlGZtKKWCoC2BQdp9YwnDFhu8jZuBniZo0VU6saeKXtoSUCrOaRFQKs5pEVAqzmkRUCrOaRFQKs5pEYhC4nKx9w4dYUiFhhaBQdjZnIUvATzJYu1cAE4nqefU4czMHHhdpQagRWAQ0m9LoHtqG0mX1uLMzrYsh+nsJONONwcumWRZhmjhzMyk5rbZOKcWWx3FtrQIDIYxGMD9myx8zc0R3/22B2Z+EWVtGcOfWxbxDFHH66X9tDYK/ncvlb+doVO+90GLwADktGk4TpoMgHfLNoZ/Mgyk569xxLPk65Bmg+VtbmbCdVvZd2UWZ51WzkUbmqj799k4SiZbHc02tAgch6toLNt/MYurnnuXfedl9Sz0ecl+bCnut1ZakqnoqnWW7Dfa+dra8OzaQ+2sZl750YUcnN7NRS8sY/svZuE84QSr41lOjLH+tst0yTIz5HyrYwAgCYlU/uJULjhrPR9WTaLgjwm431kFNjhOfXGkpNB6wTS8bgepL+rHg0CIy0XHRafQeuMhpozYz4q/llD0q/Ljrm86O/G1Rf/AMe+bl1YbY0qPXq43EPXiSElhxw9OYtSHXnYt8FHUvfGLuwVtavhf3XTd7WXYG6utjhI1jMeD+62VJL3ros7pJOMKH20vDO9z3aykVpo600m+zodn154+14l2WgR6qbrrJHJX+kh6c0XfkyXYUNmrk7n1t6/w7K2XkvjuKqvjRBXj8YDHw/Bnl8Gzfa/TkT2C9mcS4IlukuYmx0SL4Gh6TsBvz12zKXy/i5SXl1sdZVDyf7mcBxZ9lZozExCX1vRQ8zY0kjX/EIc73VT8PjZPJupPjV/hj6N0RBqfl7zPOrn6N2/xq5avkn9/lP47bMxbX0/WpfVkWR0kTLQlEAMS3l/Nc//xL9xz/bPs/652J1aDo0XA4cRx8hSrUwQt4f3VPHLjFTjPa4z4ZKn9kdOmWR1BDSDui8C+/5xBxwOxcbInqWI/RZmNbH8kH3HbY5LXrF/H1FSUMSlui4CUlnDCkgzuuPYFEu6JjRtxPNV7aZ+fytljttuiNeBITqbh9jFWx1ADiN8i0O1l4wtT+WPJeOSzdVbHCRnP9p18sOxESt/ehWP6VMtyuApH0fpqLo5Oj2UZooEzYzhm1smWZhiwCIhIoYh8JCLlIlImIrf4l2eJyHsiUul/zOy1zQIRqRKRChG5KJz/gKHyrS9n5MNLMN1dVkcJuYnfXckzy2cz8YlKnBOLIr5/cbs59HgiPiM49tRFfP9Rxe1m+/8ZBmecaFmEQFoCHuA2Y8wUYCZwk4hMBe4APjDGTAQ+8H+P/7V5wDRgDvCIiOitW5Hk8zL5u5t5Y+UpTH+xKuJjHzjcbvJTD5H+jRa8tVoE+uOtraP4F9twbtllWYYBi4AxpsYYs8b/vAUoBwqAucDT/tWeBi7zP58LLDLGdBpjdgBVgM4SGWG+1laKb1zBK4vPivh9D6ari01/mYS3vj6i+41W3vp6vBbcmn7EoM4JiMhY4BRgOZBrjKmBnkIB5PhXKwB6d7Ku9i9TEVZ382yKXmiI+H59HR0U3qedlqJFwD0GRSQVeBm41RjTLMdvYvb1wjF/ikTkBuAGgCSSA42hAiFCzXdn0ZFj8G3dbnUaZXMBtQREJIGeAvCcMeYV/+JaEcnzv54HHPnwVw0U9tp8FHDMxWJjzEJjTKkxpjQBe1zTjhUOt5tvX/cGeZ96e26SOUr9d2YhCYkWJFN2FMjVAQGeBMqNMb/s9dJiYL7/+Xzg9V7L54mIW0TGAROBFaGLrAbi6+zkjfnnkvRm34c99fL9VD6lPfnsausjZ0T0ZG4gLYEzgW8AXxKRdf6vS4CfAxeKSCVwof97jDFlwIvAZuAd4CZjjL1vyo81xmBWbjzuyylfrUNqtfVlV5N/UI733FMitr8BzwkYYz6l78/5AH0OB2SMuQ+4L4hcnxO3m4rfl1DwpivqbvO1K19rK+P/U0chsi2fj/bsBFIjtDtb9xh0Zo+gbXE+I0ceJP2TKlwF+VQ+PBNnRt+jwCgVC3ytraT+OXJ/8GxdBA6eP5HqmiyGf2UP3oZGPHv3kbbTQdXvx+BISbE6XtTruqgUV95Iq2Moi9l6UJG0F5aR9sI/Xl8seKeevK/VsD8zA19rq2XZYkFCczfG5xvy9uJy9Xn1QUUXW7cEXEVjcY74x/FcvOWVrK0r4PB07X8ULFm6nvKfjBnSjUbec08l+cNMWubNHHhlZWu2LgKV1+XRcs7EY5Y73sjixB+ttyBR7Jny/a00nDr4cyzOj9fQek49rbm2/hFSAbD1/+DEJ2qom9d+zAAZI55YRtlB/SwbCt6Dh3Af8nH4ihlD2n7kw9o9OJwicRLc1kXAs30n43MaEOdRNyEaQ/I3OmDmSdYEizEpr6wg9SXtz2VH5b8oxswO73gDti4CAA1Pj2HX96Yfs7xrUj5bv5kU+UCxyBjbzrAU74qf7OD8x5aEdbwB2xeB7FfKyDu3+pjl7dmJJDbpMAUqtsn6rTz1+gU0npwatq7Eti8Cvs5OdlTk4Ttr+hcLRcj/bhVj71xqWS6lIsF0djL2v5aSOa8aR2p4+hDavgiYzk5G/l3YfdEwq6MoZZmuh/LY+t/huenL9kUAwN3k4cdf+9PnY9jLqVNZvXO0xamUipxh763HmdeOc8K4kL93VBSBxHdX8YO/XwGOnri1d3uZfIeOXafih+nsJPfPSVRdE/pL47buNqyU+kLaJ5Wkr0sn1B21o6YIpG9KpK40gZGtxRysTSOvXVsCKr54Gw9A44GQv2/UFIGRDy1hxGeZbBo2hcy1pueAKKWCFhXnBI7YVK9dhZUKtagqAnmXlTNiczeZFbE3a5BSgei8+PSQjwERVUUAIPGdlbg+XG11DKUs4W7sYPNPQ3sbfdQVAaXi2oqNOBJ8n/eZCQUtAkpFmcl3NrDvrqGPCHU0LQJKRRnvvlq8KzI59G+hGdVJi4BSUcZ0d5G90UPTZMGRHPwUfloElIpCSW+swDWlGUdOdtDvpUVAqSg19uZGjDv4OSW1CCgVpTw1+8l4qjHo99EioIKisxtbq+KZydTcNjuo9whkVuJCEflIRMpFpExEbvEvv0dE9h41SemRbRaISJWIVIjIRUElVLblKJlM9ic9J6bktGnHjAqtwi/30wMcLvLizM0Z8nsEcgORB7jNGLNGRNKA1SLynv+1h4wxD/ReWUSmAvOAaUA+8L6IFOvMxLGnZfJwdr6bxWiWcODEdBq+NR0EJv3+EL5NW6yOFxe8ZRUkHJjFoXPGkfrnod1ZG8isxDVAjf95i4iUA/31W5wLLDLGdAI7RKQKOAPQAQFjTMpLy0l5qed55h+WklE5HV+iA9lba22wOOPsEDxJQ/9kP6gtRWQscApwZMrUm0Vkg4g8JSKZ/mUFwJ5em1XTf9FQMUI+W4fzozV4m5qsjhJXCn+6lPRvVQ95kt6Ai4CIpAIvA7caY5qBR4HxwHR6WgoPHlm1j82PGdReRG4QkVUisqqbzsHmVkodYQwtTxWw4wdDm4wnoCIgIgn0FIDnjDGv9OzX1BpjvMYYH/A4PU1+6PnLX9hr81HAvmNzm4XGmFJjTGkCekJJqWBkvraRsWftHtK2gVwdEOBJoNwY88tey/N6rXY5sMn/fDEwT0TcIjIOmAjoHFdKhZHp6mbrplF4zzt10NsGcnXgTOAbwEYRWedf9kPg6yIynZ6m/k7g2wDGmDIReRHYTM+VhZv0ykD08Z19Ck3FSYx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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "edges = cv2.Canny(imgRGB, 300, 300)\n", + "plt.imshow(edges)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## _Applying median blur to obtain edges of even density and continuity_" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "gray = cv2.cvtColor(imgRGB, cv2.COLOR_BGR2GRAY)\n", + "gray1 = cv2.medianBlur(gray, 5)\n", + "edges = cv2.adaptiveThreshold(gray1, 255, cv2.ADAPTIVE_THRESH_MEAN_C, cv2.THRESH_BINARY, 9, 5)\n", + "plt.imshow(edges, cmap='gray')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# _Magic Function - Color Quantization_" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "def color_quantization(img, k):\n", + " data = np.float32(img).reshape((-1, 3))\n", + " criteria = (cv2.TERM_CRITERIA_EPS + cv2.TERM_CRITERIA_MAX_ITER, 20, 1.0)\n", + " ret, label, center = cv2.kmeans(data, k, None, criteria, 10, cv2.KMEANS_RANDOM_CENTERS)\n", + " center = np.uint8(center)\n", + " result = center[label.flatten()]\n", + " result = result.reshape(img.shape)\n", + " return result" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## _Quantized Image with discrete color patterns_" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "img_1 = color_quantization(imgRGB, 7)\n", + "plt.imshow(img_1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## _Smoothening sharp region tranistion_" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "blurred = cv2.medianBlur(img_1, 5)\n", + "plt.imshow(blurred)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## _Finally, Adding the Edges to complete the cartoonification_" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "cartoon = cv2.bitwise_and(blurred, blurred, mask=edges)\n", + "plt.imshow(cartoon)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Another interesting approach to displaying images\n", + "-> cv2.imshow(\"Preview\", img)
\n", + "-> It creates a new window for every image displayed
\n", + "-> Perks: Easier to save images
\n", + "-> Limitation: Only 1 window at a time can be processed
" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "interpreter": { + "hash": "cd8ac7ed5329ff1f59a8356dfddf06d159cf18414acbfd7b13d1d5cd1cbb5d7d" + }, + "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": "3.11.5" + }, + "metadata": { + "interpreter": { + "hash": "33dc6d49505b4536b6a128d9d7c879e1fa44477ad44947bbbe73093067fe6393" + } + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}