diff --git a/docs/notebooks/complexProjectiveOnGenusTwoSurface.ipynb b/docs/notebooks/complexProjectiveOnGenusTwoSurface.ipynb deleted file mode 100644 index 2aee1d2..0000000 --- a/docs/notebooks/complexProjectiveOnGenusTwoSurface.ipynb +++ /dev/null @@ -1,159 +0,0 @@ -{ - "cells": [ - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Complex projective coordinates on surface of genus two\n", - "\n", - "We use complex projective coordinate to parametrize the two-dimensional void of a surface of genus two." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "from dreimac import GeometryExamples, PlotUtils, ComplexProjectiveCoords, ProjectiveMapUtils, GeometryUtils" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "f09e3e324c5744e3b664c73452fc3a52", - "version_major": 2, - "version_minor": 0 - }, - "image/png": 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", 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\n", - " " - ], - "text/plain": [ - "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "X = GeometryExamples.genus_two_surface()\n", - "\n", - "fig = plt.figure(figsize=(4,4))\n", - "ax = fig.add_subplot(projection=\"3d\")\n", - "ax.scatter(X[:,0], X[:,1], X[:,2], s=0.1)\n", - "PlotUtils.set_axes_equal(ax) ; plt.axis(\"off\") ; fig.subplots_adjust(top=1, bottom=0, left=0, right=1)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "dist_mat, pointcloud_permutation = GeometryUtils.landmark_geodesic_distance(X, 400, 10)\n", - "cpc = ComplexProjectiveCoords(dist_mat, n_landmarks=400, distance_matrix=True)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "coords = cpc.get_coordinates(perc=0.9, proj_dim=1)\n", - "coords_R3 = ProjectiveMapUtils.hopf_map(coords)" - ] - }, - { - "attachments": {}, - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next is the original pointcloud colored by the $z$-coordinate of the sphere coordinates obstained with complex projective coordinates." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.jupyter.widget-view+json": { - "model_id": "0770ee528d594ba9bd106ae2281bd328", - "version_major": 2, - "version_minor": 0 - }, - "image/png": 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