From 95559f08a58a9be34eefa957107183acfb977523 Mon Sep 17 00:00:00 2001 From: Arvind Singh Date: Thu, 17 Oct 2024 19:51:20 +0200 Subject: [PATCH] testing --- .../Meshlets-checkpoint.ipynb | 100841 +++++++-------- .../leg_meshlet-checkpoint.ipynb | 2 +- tools/inprogress/Meshlets.ipynb | 100841 +++++++-------- tools/inprogress/leg_meshlet.ipynb | 2 +- 4 files changed, 99986 insertions(+), 101700 deletions(-) diff --git a/tools/inprogress/.ipynb_checkpoints/Meshlets-checkpoint.ipynb b/tools/inprogress/.ipynb_checkpoints/Meshlets-checkpoint.ipynb index e99e56b..36bca4f 100644 --- a/tools/inprogress/.ipynb_checkpoints/Meshlets-checkpoint.ipynb +++ b/tools/inprogress/.ipynb_checkpoints/Meshlets-checkpoint.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "code", - "execution_count": 636, + "execution_count": 1, "id": "9cc1995c-f06b-4dea-9ca2-74fce63929f3", "metadata": {}, "outputs": [], @@ -21,7 +21,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "id": "0be7c8c1-f395-40a8-be98-d5e6d0e2ce79", "metadata": {}, "outputs": [], @@ -34,7 +34,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 3, "id": "90b7c684-ed22-4a39-9cb9-051fcbb6e1bc", "metadata": {}, "outputs": [], @@ -82,17 +82,14 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 4, "id": "d0177a6b-7938-4bd4-add0-3c4365648e40", "metadata": {}, "outputs": [], "source": [ - "def splitFace(face):\n", - " if (len(face) == 3): \n", - " return [tuple(face)]\n", - " return [tuple(face[:3])] + splitFace([face[0]] + face[2:])\n", - "\n", "def getint(str, linenb):\n", + " \"\"\"Parse an integer from str, abort on error\n", + " - linenb the line number in the file in case of error\"\"\"\n", " try:\n", " v = int(str)\n", " return v\n", @@ -100,6 +97,8 @@ " error(f\"cannot convert [{str}] to int at line {linenb + 1}\")\n", "\n", "def getfloat(str, linenb):\n", + " \"\"\"Parse a float from str, abort on error\n", + " - linenb the line number in the file in case of error\"\"\"\n", " try:\n", " v = float(str)\n", " return v\n", @@ -107,6 +106,9 @@ " error(f\"cannot convert [{str}] to int at line {linenb + 1}\")\n", "\n", "def parseFaceTag(f, lena, linenb):\n", + " \"\"\"Parse a 'v/t/n' tag line in the obj file\n", + " - lena = (nb_vertices, nb_textures, nb_normals) the current count of vertices/textures/normals\n", + " - linenb the line number in the file in case of error\"\"\"\n", " x = f.split(\"/\")\n", " if len(x) == 0 or len(x) > 3:\n", " error(f\"wrong face index: {f} at line {linenb+1}\")\n", @@ -122,12 +124,31 @@ " if (v == 0):\n", " error(f\"wrong face index: {f} at line {linenb+1} (index 0)\")\n", " x[i] = (v - 1) if v > 0 else lena[i] + v \n", - " return tuple(x)" + " return tuple(x)\n", + "\n", + "def splitFace(face):\n", + " \"\"\"Convert a face [f1,f2,f3,..,fn] to a list of triangles [(f1,f2,f3), (f1,f3,f4), (f1,f4,f5),...]\"\"\"\n", + " if (len(face) == 3): \n", + " return [tuple(face)]\n", + " return [tuple(face[:3])] + splitFace([face[0]] + face[2:])\n", + "\n", + "def rotateTriangleToMin(T):\n", + " \"\"\"\n", + " Rotate a triangle ( (v0,t0,n0), (v1,t1,n1), (v2,t2,n2) ) so that it begins with the\n", + " minimum value of the vi's \n", + " \"\"\"\n", + " m = min(T[0][0], T[1][0], T[2][0])\n", + " if (m == T[0][0]):\n", + " return T\n", + " if (m == T[1][0]):\n", + " return (T[1], T[2], T[0])\n", + " if (m == T[2][0]):\n", + " return (T[2], T[0], T[1])" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 5, "id": "dfb63df9-c2f2-4538-90d8-615854f3bdfe", "metadata": {}, "outputs": [], @@ -228,14 +249,17 @@ " \n", " if (n < -1) or (n >= len(normal)):\n", " error(f\"normal index out of bound {v}/{len(normal)} in face {T}\") \n", - " setni.add(n) \n", - " \n", + " setni.add(n)\n", + " \n", + " for i in range(len(o)):\n", + " o[i] = rotateTriangleToMin(o[i])\n", + "\n", " if len(setti) > 1 and -1 in setti:\n", " error(f\"Missing texture indexes for some faces (but not all).\") \n", "\n", " if len(setni) > 1 and -1 in setni:\n", " error(f\"Missing normal indexes for some faces (but not all).\") \n", - " \n", + "\n", " print(f\"\\nTOTAL :\")\n", " print(f\"- {len(vertice)} vertices [v]\") \n", " print(f\"- {len(texture)} texture coords [vt]\")\n", @@ -246,7 +270,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 6, "id": "8e6d6d1e-c738-4dce-989e-1dd2536e13a7", "metadata": {}, "outputs": [], @@ -311,7 +335,7 @@ }, { "cell_type": "code", - "execution_count": 207, + "execution_count": 7, "id": "02cc910f-97b7-4d46-a884-a66d506f6275", "metadata": {}, "outputs": [], @@ -336,7 +360,7 @@ }, { "cell_type": "code", - "execution_count": 227, + "execution_count": 8, "id": "7f729af2-01a2-4088-b8db-a85f4037253b", "metadata": {}, "outputs": [], @@ -387,7 +411,7 @@ }, { "cell_type": "code", - "execution_count": 520, + "execution_count": 9, "id": "d3fa9bf6-cfda-4c55-8c2d-84947636e6a6", "metadata": {}, "outputs": [], @@ -511,11 +535,61 @@ "id": "d98935f4-0303-4bb8-a6f7-683a3da611d0", "metadata": {}, "outputs": [], + "source": [ + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "11edba3b", + "metadata": {}, + "outputs": [], + "source": [ + "O = obj[0][0:3]\n", + "O" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fa5d0895", + "metadata": {}, + "outputs": [], + "source": [ + "def rotateTriangleToMin(T):\n", + " \"\"\"\n", + " Rotate a triangle ( (v0,t0,n0), (v1,t1,n1), (v2,t2,n2) ) so that it begins with the\n", + " minimum value of the vi's \n", + " \"\"\"\n", + " m = min(T[0][0], T[1][0], T[2][0])\n", + " if (m == T[0][0]):\n", + " return T\n", + " if (m == T[1][0]):\n", + " return (T[1], T[2], T[0])\n", + " if (m == T[2][0]):\n", + " return (T[2], T[0], T[1])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "919f64e3", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "69cd1ca8", + "metadata": {}, + "outputs": [], "source": [] }, { "cell_type": "code", - "execution_count": 1003, + "execution_count": 10, "id": "93b823b5-6284-4e09-8270-c8803ad4e155", "metadata": {}, "outputs": [ @@ -541,7 +615,7 @@ }, { "cell_type": "code", - "execution_count": 1005, + "execution_count": 16, "id": "df2adda1-9e83-443e-ba7c-4b862d7999d9", "metadata": {}, "outputs": [], @@ -552,7 +626,7 @@ " tot = tot + (2 + len(u))\n", " return tot\n", " \n", - "def decoupe(ob, nbtry):\n", + "def stripify(ob, nbtry = 4):\n", " totmin = 4*len(ob)\n", " for i in range(nbtry): \n", " if i > 3:\n", @@ -568,7 +642,7 @@ }, { "cell_type": "code", - "execution_count": 1007, + "execution_count": 17, "id": "12ffae44-9793-41d6-862a-ef648b2ada91", "metadata": {}, "outputs": [ @@ -576,39 +650,20 @@ "name": "stdout", "output_type": "stream", "text": [ - "0 total number of triangle point to compute 6688/17568 for 416 chains\n", + "0 total number of triangle point to compute 6694/17568 for 419 chains\n", + "\n", + "1 total number of triangle point to compute 6680/17568 for 412 chains\n", "\n" ] } ], "source": [ - "C = decoupe(obj[0], 50)" - ] - }, - { - "cell_type": "code", - "execution_count": 1009, - "id": "ebd71d8c-4947-435f-afa6-ef37872e0ed7", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "6688" - ] - }, - "execution_count": 1009, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "nbCompute(C)" + "C = stripify(obj[0])" ] }, { "cell_type": "code", - "execution_count": 1011, + "execution_count": 19, "id": "3e13919b-85d6-4fac-ba25-f8787826070c", "metadata": {}, "outputs": [], @@ -624,10 +679,39 @@ }, { "cell_type": "code", - "execution_count": 1013, + "execution_count": 20, "id": "818bbd2e-6fbb-4869-8d99-a750b2163c48", "metadata": {}, "outputs": [ + { + "data": { + "text/html": [ + " \n", + " " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, { "data": { "application/vnd.plotly.v1+json": { @@ -638,51181 +722,50761 @@ { "color": 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = go.Figure(data=[go.Mesh3d(x=x, y=y, z=z, i=i, j=j, k=k, opacity=1, color=\"blue\")])\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 1015, - "id": "df3ab7c2-e7d9-44ed-a307-3efddfab69a9", - "metadata": {}, - "outputs": [], - "source": [ - "Nr = []\n", - "for n in range(len(i)):\n", - " V1 = np.array([x[i[n]], y[i[n]], z[i[n]]])\n", - " V2 = np.array([x[j[n]], y[j[n]], z[j[n]]])\n", - " V3 = np.array([x[k[n]], y[k[n]], z[k[n]]])\n", - " sU = Vec(V1, V2)\n", - " sV = Vec(V1, V3)\n", - " N = crossProduct(sU,sV)\n", - " N = normVec(N)\n", - " Nr += [N]" - ] - }, - { - "cell_type": "code", - "execution_count": 1017, - "id": "4abcde0a-61f0-4534-8fa4-fb8bf0fc3105", - "metadata": {}, - "outputs": [], - "source": [ - "alpha = 1.0\n", - "center = np.array([ [(x[i[n]] + x[j[n]] + x[k[n]])/3 , (y[i[n]] + y[j[n]] + y[k[n]])/3, (y[i[n]] + y[j[n]] + y[k[n]])/3, alpha*Nr[n][0], alpha*Nr[n][1], alpha*Nr[n][2] ] for n in range(len(i))])" - ] - }, - { - "cell_type": "code", - "execution_count": 1023, - "id": "84952f22-b91e-466d-b4a6-ce3c78c52868", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
KMeans(n_clusters=38, n_init=40)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" - ], - "text/plain": [ - "KMeans(n_clusters=38, n_init=40)" - ] - }, - "execution_count": 1023, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "nbclusters = int(np.sqrt(len(i))/2)\n", - "kmeans = KMeans(n_clusters=nbclusters, n_init=40)\n", - "kmeans.fit(center)" - ] - }, - { - "cell_type": "code", - "execution_count": 1025, - "id": "40f217d1-356e-43ab-9392-4ae23eacce4e", - "metadata": {}, - "outputs": [], - "source": [ - "palette = px.colors.qualitative.Dark24\n", - "colors = [palette[v % 24] for v in kmeans.labels_]" - ] - }, - { - "cell_type": "code", - "execution_count": 1027, - "id": "8a6de854-820c-44c9-b704-db2f994d2e35", - "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.plotly.v1+json": { - "config": { - "plotlyServerURL": "https://plot.ly" - }, - "data": [ - { - "facecolor": [ - "#6C7C32", - "#FB0D0D", - "#A777F1", - "#222A2A", - "#B68100", - "#FB00D1", - "#1616A7", - "#B68100", - "#2E91E5", - "#222A2A", - "#1CA71C", - 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KMeans(n_clusters=38, n_init=40)
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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig = go.Figure(data=[go.Mesh3d(x=x, y=y, z=z, i=i, j=j, k=k, opacity=1, color=\"blue\")])\n", - "fig.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 1015, - "id": "df3ab7c2-e7d9-44ed-a307-3efddfab69a9", - "metadata": {}, - "outputs": [], - "source": [ - "Nr = []\n", - "for n in range(len(i)):\n", - " V1 = np.array([x[i[n]], y[i[n]], z[i[n]]])\n", - " V2 = np.array([x[j[n]], y[j[n]], z[j[n]]])\n", - " V3 = np.array([x[k[n]], y[k[n]], z[k[n]]])\n", - " sU = Vec(V1, V2)\n", - " sV = Vec(V1, V3)\n", - " N = crossProduct(sU,sV)\n", - " N = normVec(N)\n", - " Nr += [N]" - ] - }, - { - "cell_type": "code", - "execution_count": 1017, - "id": "4abcde0a-61f0-4534-8fa4-fb8bf0fc3105", - "metadata": {}, - "outputs": [], - "source": [ - "alpha = 1.0\n", - "center = np.array([ [(x[i[n]] + x[j[n]] + x[k[n]])/3 , (y[i[n]] + y[j[n]] + y[k[n]])/3, (y[i[n]] + y[j[n]] + y[k[n]])/3, alpha*Nr[n][0], alpha*Nr[n][1], alpha*Nr[n][2] ] for n in range(len(i))])" - ] - }, - { - "cell_type": "code", - "execution_count": 1023, - "id": "84952f22-b91e-466d-b4a6-ce3c78c52868", - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
KMeans(n_clusters=38, n_init=40)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" - ], - "text/plain": [ - "KMeans(n_clusters=38, n_init=40)" - ] - }, - "execution_count": 1023, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "nbclusters = int(np.sqrt(len(i))/2)\n", - "kmeans = KMeans(n_clusters=nbclusters, n_init=40)\n", - "kmeans.fit(center)" - ] - }, - { - "cell_type": "code", - "execution_count": 1025, - "id": "40f217d1-356e-43ab-9392-4ae23eacce4e", - "metadata": {}, - "outputs": [], - "source": [ - "palette = px.colors.qualitative.Dark24\n", - "colors = [palette[v % 24] for v in kmeans.labels_]" - ] - }, - { - "cell_type": "code", - "execution_count": 1027, - "id": "8a6de854-820c-44c9-b704-db2f994d2e35", - "metadata": {}, - "outputs": [ - { - "data": { - "application/vnd.plotly.v1+json": { - "config": { - "plotlyServerURL": "https://plot.ly" - }, - "data": [ - { - "facecolor": [ - "#6C7C32", - "#FB0D0D", - "#A777F1", - "#222A2A", - "#B68100", - "#FB00D1", - "#1616A7", - "#B68100", - "#2E91E5", - "#222A2A", - "#1CA71C", - 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KMeans(n_clusters=38, n_init=40)
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", 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