{ "cells": [ { "cell_type": "markdown", "id": "3edc9e7a-357e-4be1-95c1-4bc0c94c6bd7", "metadata": {}, "source": [ "# A fractal of any shape" ] }, { "cell_type": "code", "execution_count": 1, "id": "049b6e79-3d97-469d-8075-3ec91eeda7cf", "metadata": {}, "outputs": [], "source": [ "import cv2\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import tqdm\n", "from cutcutcodec.core.generation.video.fractal.fractal import mandelbrot" ] }, { "cell_type": "code", "execution_count": 2, "id": "b09f94c3-c0f3-4c5f-bbf1-988d504b231a", "metadata": {}, "outputs": [], "source": [ "# create a shape\n", "image = np.zeros((5000, 5000), dtype=np.uint8)\n", "font_scale = image.shape[0] // 40\n", "thickness = 4 * font_scale\n", "org = (image.shape[0] // 4, 3 * image.shape[0] // 4)\n", "image = cv2.putText(image, \"A\", org, cv2.FONT_HERSHEY_SIMPLEX, font_scale, (1, 1, 1), thickness)" ] }, { "cell_type": "code", "execution_count": 3, "id": "6bf29287-c7f3-46c7-8e77-c819754a5aee", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(image, cmap=\"gray\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "01291661-625b-48c2-a784-4e6cff9c84b7", "metadata": {}, "source": [ "## Creation of the complex plan" ] }, { "cell_type": "code", "execution_count": 4, "id": "01026f87-723b-4d8f-b031-28246bacf161", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "il y a 500 niveaux\n" ] } ], "source": [ "contours_in, _ = cv2.findContours(image, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_NONE)\n", "kernel = cv2.getStructuringElement(cv2.MORPH_ELLIPSE, (3, 3))\n", "outs = []\n", "image_dilate = image.copy()\n", "for _ in range(thickness):\n", " image_dilate = cv2.dilate(image_dilate, kernel)\n", " image_dilate[image != 0] = 0 # dilate seulement vers l'exterieur\n", " contours_out, _ = cv2.findContours(image_dilate, cv2.RETR_EXTERNAL, cv2.CHAIN_APPROX_NONE)\n", " if len(contours_out) != len(contours_in):\n", " break\n", " outs.append(contours_out)\n", "plt.imshow(image_dilate, cmap=\"gray\")\n", "plt.show()\n", "print(f\"il y a {len(outs)} niveaux\")" ] }, { "cell_type": "code", "execution_count": 5, "id": "0c79a9d4-7e79-4285-a99c-21e871b5405d", "metadata": {}, "outputs": [], "source": [ "def plot_cpl(cpl):\n", " cpl_color = np.zeros((*cpl.shape, 3), dtype=np.float32)\n", " cpl_color[:, :, 0] = np.real(cpl)\n", " cpl_color[:, :, 0] -= np.nanmin(cpl_color[:, :, 0])\n", " cpl_color[:, :, 0] /= np.nanmax(cpl_color[:, :, 0])\n", " cpl_color[:, :, 1] = np.imag(cpl)\n", " cpl_color[:, :, 1] -= np.nanmin(cpl_color[:, :, 1])\n", " cpl_color[:, :, 1] /= np.nanmax(cpl_color[:, :, 1])\n", " plt.imshow(cpl_color, vmin=0, vmax=1)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 6, "id": "6e9df39b-c568-4a83-8ead-51a5b013021f", "metadata": {}, "outputs": [], "source": [ "# fill with the mandelbrot disc of center -1, radius 1/4\n", "cpl = np.full(image.shape, np.nan, dtype=np.complex128)\n", "\n", "def compute_inout(theta, inout:float):\n", " \"\"\"0 for in, 1 for out\"\"\"\n", " minval = (1-inout)*-1.25 + inout*-1.5\n", " maxval = -0.75\n", " middle = (minval + maxval) / 2\n", " radius = (maxval - minval) / 2\n", " return radius * np.exp(1j*theta) + middle\n", "\n", "for contour_in, *contours_out in zip(contours_in, *outs, strict=True):\n", " for cont, inout in zip((contour_in, *contours_out), np.linspace(0, 1, 1 + len(outs))):\n", " cont = cont[::2, ...] # skip some points pour lisser la courbe\n", " theta = np.linspace(0, 2*np.pi, cont.shape[0])\n", " cpl[cont[:, 0, 1], cont[:, 0, 0]] = compute_inout(theta, inout)\n", "\n", "# plot_cpl(cpl)" ] }, { "cell_type": "code", "execution_count": 7, "id": "0111759e-cd06-458c-98e6-45355f53d4fa", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████| 4990/4990 [06:26<00:00, 12.92it/s]\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# interpol nan values\n", "cpl_new = cpl.copy()\n", "\n", "radius = 5\n", "r = np.linspace(-1, 1, 2*radius+3, endpoint=True, dtype=np.float64)\n", "ri, rj = np.meshgrid(r, r, indexing=\"ij\")\n", "disk_weights = np.maximum(0, 1 - np.sqrt(ri**2 + rj**2))\n", "disk_weights = disk_weights[1:-1, 1:-1]\n", "for i in tqdm.tqdm(range(radius, cpl.shape[0]-radius)):\n", " for j in range(radius, cpl.shape[1]-radius):\n", " patch = cpl[i-radius:i+radius+1, j-radius:j+radius+1]\n", " idx_i, idx_j = np.nonzero(~np.isnan(patch))\n", " if len(idx_i) == 0:\n", " continue\n", " weights = disk_weights[idx_i, idx_j]\n", " if (mass := weights.sum()) < 1e-8:\n", " continue\n", " weights /= mass # to avoid division by 0\n", " avg = (patch[idx_i, idx_j] * weights).sum()\n", " cpl_new[i, j] = avg\n", "cpl = cpl_new.copy()\n", "plot_cpl(cpl)" ] }, { "cell_type": "code", "execution_count": 8, "id": "0c0c9bd3-5574-423b-a7a4-f8c6f4797af2", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# display the path on the native fractal\n", "x = np.linspace(-2, 1, 300)\n", "y = np.linspace(-1, 1, 200)\n", "x, y = np.meshgrid(x, y, indexing=\"xy\")\n", "plt.pcolor(x, y, mandelbrot(x + 1j*y))\n", "theta = np.linspace(0, 2*np.pi, 100)\n", "cin = compute_inout(theta, 0)\n", "cout = compute_inout(theta, 1)\n", "plt.plot(cin.real, cin.imag)\n", "plt.plot(cout.real, cout.imag)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c24b7cf3-3307-41ff-aee0-b67ce20cb1af", "metadata": {}, "source": [ "## fractal creation" ] }, { "cell_type": "code", "execution_count": 9, "id": "528d6e9d-782e-4271-be48-5a8836417a45", "metadata": {}, "outputs": [], "source": [ "fractal = np.zeros(cpl.shape, dtype=np.float32)\n", "fractal[image != 0] = 1.0\n", "fractal = mandelbrot(cpl, 512, out=fractal)" ] }, { "cell_type": "code", "execution_count": 10, "id": "84d2830b-792d-4bfd-85a4-39c3d615bdf8", "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fractal_image = np.nan_to_num(fractal)\n", "np.save(\"/tmp/fractal.npy\", fractal_image)\n", "cmap = plt.get_cmap(\"plasma\")\n", "# cmap = plt.get_cmap(\"seismic\")\n", "fractal_image = cmap(fractal_image)\n", "fractal_image = fractal_image[:, :, :3]\n", "cv2.imwrite(\"/tmp/fractal.tiff\", (fractal_image * ((1 << 16) - 1)).astype(np.uint16)[:, :, ::-1])\n", "plt.imshow(fractal_image)\n", "plt.show()" ] } ], "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": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 5 }