|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "markdown", |
| 5 | + "metadata": {}, |
| 6 | + "source": [ |
| 7 | + "# ipycanvas + NumPy = 3D" |
| 8 | + ] |
| 9 | + }, |
| 10 | + { |
| 11 | + "cell_type": "markdown", |
| 12 | + "metadata": {}, |
| 13 | + "source": [ |
| 14 | + "Disclaimer: The following is a stupid implementation of an .obj loader, **do not use it in your codebase**" |
| 15 | + ] |
| 16 | + }, |
| 17 | + { |
| 18 | + "cell_type": "code", |
| 19 | + "execution_count": null, |
| 20 | + "metadata": {}, |
| 21 | + "outputs": [], |
| 22 | + "source": [ |
| 23 | + "import numpy as np" |
| 24 | + ] |
| 25 | + }, |
| 26 | + { |
| 27 | + "cell_type": "code", |
| 28 | + "execution_count": null, |
| 29 | + "metadata": {}, |
| 30 | + "outputs": [], |
| 31 | + "source": [ |
| 32 | + "with open('monkey.obj', 'r') as fobj:\n", |
| 33 | + " lines = [line.strip() for line in fobj.readlines()]" |
| 34 | + ] |
| 35 | + }, |
| 36 | + { |
| 37 | + "cell_type": "code", |
| 38 | + "execution_count": null, |
| 39 | + "metadata": {}, |
| 40 | + "outputs": [], |
| 41 | + "source": [ |
| 42 | + "vertices = []\n", |
| 43 | + "vertex_normals = []\n", |
| 44 | + "faces = []\n", |
| 45 | + "faces_normals = []" |
| 46 | + ] |
| 47 | + }, |
| 48 | + { |
| 49 | + "cell_type": "code", |
| 50 | + "execution_count": null, |
| 51 | + "metadata": {}, |
| 52 | + "outputs": [], |
| 53 | + "source": [ |
| 54 | + "# Extract vertices\n", |
| 55 | + "for line in lines:\n", |
| 56 | + " splitted = line.split(' ')\n", |
| 57 | + "\n", |
| 58 | + " # Vertex\n", |
| 59 | + " if splitted[0] == 'v':\n", |
| 60 | + " _, v1, v2, v3 = splitted\n", |
| 61 | + " vertices.append([float(v1), float(v2), float(v3)])\n", |
| 62 | + "\n", |
| 63 | + " # Normal\n", |
| 64 | + " if splitted[0] == 'vn':\n", |
| 65 | + " _, v1, v2, v3 = splitted\n", |
| 66 | + " vertex_normals.append([float(v1), float(v2), float(v3)])\n", |
| 67 | + "\n", |
| 68 | + "# Extract faces\n", |
| 69 | + "for line in lines:\n", |
| 70 | + " splitted = line.split(' ')\n", |
| 71 | + "\n", |
| 72 | + " # Face\n", |
| 73 | + " if splitted[0] == 'f':\n", |
| 74 | + " # This file is triangulated, so this is fine\n", |
| 75 | + " _, v1, v2, v3 = splitted\n", |
| 76 | + "\n", |
| 77 | + " # It happens that this mesh is flat-shaded, so the normal is \n", |
| 78 | + " # the same on all vertices\n", |
| 79 | + " v1_index, _, v1_normal = v1.split('/')\n", |
| 80 | + " v2_index, _, _ = v2.split('/')\n", |
| 81 | + " v3_index, _, _ = v3.split('/')\n", |
| 82 | + "\n", |
| 83 | + " faces.append([int(v1_index) - 1, int(v2_index) - 1, int(v3_index) - 1])\n", |
| 84 | + " faces_normals.append(int(v1_normal) - 1)" |
| 85 | + ] |
| 86 | + }, |
| 87 | + { |
| 88 | + "cell_type": "code", |
| 89 | + "execution_count": null, |
| 90 | + "metadata": { |
| 91 | + "scrolled": true |
| 92 | + }, |
| 93 | + "outputs": [], |
| 94 | + "source": [ |
| 95 | + "vertices = np.array(vertices)\n", |
| 96 | + "faces = np.array(faces)\n", |
| 97 | + "vertex_normals = np.array(vertex_normals)\n", |
| 98 | + "faces_normals = np.array(faces_normals)" |
| 99 | + ] |
| 100 | + }, |
| 101 | + { |
| 102 | + "cell_type": "code", |
| 103 | + "execution_count": null, |
| 104 | + "metadata": {}, |
| 105 | + "outputs": [], |
| 106 | + "source": [ |
| 107 | + "vertices" |
| 108 | + ] |
| 109 | + }, |
| 110 | + { |
| 111 | + "cell_type": "code", |
| 112 | + "execution_count": null, |
| 113 | + "metadata": {}, |
| 114 | + "outputs": [], |
| 115 | + "source": [ |
| 116 | + "faces" |
| 117 | + ] |
| 118 | + }, |
| 119 | + { |
| 120 | + "cell_type": "markdown", |
| 121 | + "metadata": {}, |
| 122 | + "source": [ |
| 123 | + "# First let's display our monkey as a PointCloud" |
| 124 | + ] |
| 125 | + }, |
| 126 | + { |
| 127 | + "cell_type": "code", |
| 128 | + "execution_count": null, |
| 129 | + "metadata": {}, |
| 130 | + "outputs": [], |
| 131 | + "source": [ |
| 132 | + "from ipycanvas import Canvas, hold_canvas" |
| 133 | + ] |
| 134 | + }, |
| 135 | + { |
| 136 | + "cell_type": "code", |
| 137 | + "execution_count": null, |
| 138 | + "metadata": {}, |
| 139 | + "outputs": [], |
| 140 | + "source": [ |
| 141 | + "from py3d_engine import OrbitCamera, project_vector" |
| 142 | + ] |
| 143 | + }, |
| 144 | + { |
| 145 | + "cell_type": "code", |
| 146 | + "execution_count": null, |
| 147 | + "metadata": {}, |
| 148 | + "outputs": [], |
| 149 | + "source": [ |
| 150 | + "class MonkeyCloud(Canvas):\n", |
| 151 | + " def __init__(self):\n", |
| 152 | + " super(MonkeyCloud, self).__init__(width=500, height=500)\n", |
| 153 | + "\n", |
| 154 | + " self.dragging = False\n", |
| 155 | + " \n", |
| 156 | + " self.x = vertices[:,0]\n", |
| 157 | + " self.y = vertices[:,1]\n", |
| 158 | + " self.z = vertices[:,2]\n", |
| 159 | + " \n", |
| 160 | + " self.dx = 0\n", |
| 161 | + " self.dy = 0\n", |
| 162 | + " self.radius = 10\n", |
| 163 | + "\n", |
| 164 | + " self.camera = OrbitCamera(self.radius, [0, 0, 0], self.width/self.height)\n", |
| 165 | + " self.x2, self.y2, self.z2 = project_vector(self.x, self.y, self.z, self.camera.matrix)\n", |
| 166 | + " self.draw()\n", |
| 167 | + "\n", |
| 168 | + " self.on_mouse_down(self.mouse_down_handler)\n", |
| 169 | + " self.on_mouse_move(self.mouse_move_handler)\n", |
| 170 | + " self.on_mouse_up(self.mouse_up_handler)\n", |
| 171 | + " self.on_mouse_out(self.mouse_out_handler)\n", |
| 172 | + "\n", |
| 173 | + " def update_matrix(self, dx=None, dy=None):\n", |
| 174 | + " dx = dx if dx is not None else self.dx\n", |
| 175 | + " dy = dy if dy is not None else self.dy\n", |
| 176 | + " \n", |
| 177 | + " self.camera.update_position(dy, dx)\n", |
| 178 | + " self.x2, self.y2, self.z2 = project_vector(self.x, self.y, self.z, self.camera.matrix)\n", |
| 179 | + " self.draw()\n", |
| 180 | + "\n", |
| 181 | + " def draw(self):\n", |
| 182 | + " x = self.x2 * self.width + self.width / 2\n", |
| 183 | + " y = self.y2 * self.height + self.height / 2\n", |
| 184 | + " with hold_canvas(self):\n", |
| 185 | + " self.clear()\n", |
| 186 | + " self.fill_circles(x, y, 2)\n", |
| 187 | + "\n", |
| 188 | + " def mouse_down_handler(self, pixel_x, pixel_y):\n", |
| 189 | + " self.dragging = True\n", |
| 190 | + " self.x_mouse = pixel_x\n", |
| 191 | + " self.y_mouse = pixel_y\n", |
| 192 | + "\n", |
| 193 | + " def mouse_move_handler(self, pixel_x, pixel_y):\n", |
| 194 | + " if self.dragging:\n", |
| 195 | + " self.dx_new = self.dx + pixel_x - self.x_mouse\n", |
| 196 | + " self.dy_new = self.dy + pixel_y - self.y_mouse\n", |
| 197 | + " \n", |
| 198 | + " self.update_matrix(self.dx_new, self.dy_new)\n", |
| 199 | + " \n", |
| 200 | + " def mouse_up_handler(self, pixel_x, pixel_y):\n", |
| 201 | + " if self.dragging:\n", |
| 202 | + " self.dragging = False\n", |
| 203 | + " self.dx = self.dx_new\n", |
| 204 | + " self.dy = self.dy_new\n", |
| 205 | + " \n", |
| 206 | + " def mouse_out_handler(self, pixel_x, pixel_y):\n", |
| 207 | + " if self.dragging:\n", |
| 208 | + " self.dragging = False\n", |
| 209 | + " self.dx = self.dx_new\n", |
| 210 | + " self.dy = self.dy_new" |
| 211 | + ] |
| 212 | + }, |
| 213 | + { |
| 214 | + "cell_type": "code", |
| 215 | + "execution_count": null, |
| 216 | + "metadata": {}, |
| 217 | + "outputs": [], |
| 218 | + "source": [ |
| 219 | + "cloud = MonkeyCloud()\n", |
| 220 | + "cloud" |
| 221 | + ] |
| 222 | + }, |
| 223 | + { |
| 224 | + "cell_type": "markdown", |
| 225 | + "metadata": {}, |
| 226 | + "source": [ |
| 227 | + "# Looks good, but the monkey is made of triangles, so let's display them" |
| 228 | + ] |
| 229 | + }, |
| 230 | + { |
| 231 | + "cell_type": "code", |
| 232 | + "execution_count": null, |
| 233 | + "metadata": {}, |
| 234 | + "outputs": [], |
| 235 | + "source": [ |
| 236 | + "triangles = vertices[faces]\n", |
| 237 | + "triangles_positions = np.mean(triangles, axis=1)\n", |
| 238 | + "triangles_normals = vertex_normals[faces_normals]" |
| 239 | + ] |
| 240 | + }, |
| 241 | + { |
| 242 | + "cell_type": "code", |
| 243 | + "execution_count": null, |
| 244 | + "metadata": {}, |
| 245 | + "outputs": [], |
| 246 | + "source": [ |
| 247 | + "light_direction = np.array([-1, 1, 0])" |
| 248 | + ] |
| 249 | + }, |
| 250 | + { |
| 251 | + "cell_type": "code", |
| 252 | + "execution_count": null, |
| 253 | + "metadata": {}, |
| 254 | + "outputs": [], |
| 255 | + "source": [ |
| 256 | + "class Monkey(Canvas):\n", |
| 257 | + " def __init__(self):\n", |
| 258 | + " super(Monkey, self).__init__(width=500, height=500)\n", |
| 259 | + "\n", |
| 260 | + " self.dragging = False\n", |
| 261 | + " \n", |
| 262 | + " self.x = vertices[:,0]\n", |
| 263 | + " self.y = vertices[:,1]\n", |
| 264 | + " self.z = vertices[:,2]\n", |
| 265 | + " \n", |
| 266 | + " self.dx = 0\n", |
| 267 | + " self.dy = 0\n", |
| 268 | + " self.radius = 10\n", |
| 269 | + "\n", |
| 270 | + " self.camera = OrbitCamera(self.radius, [0, 0, 0], self.width/self.height)\n", |
| 271 | + " self.update_matrix()\n", |
| 272 | + "\n", |
| 273 | + " self.on_mouse_down(self.mouse_down_handler)\n", |
| 274 | + " self.on_mouse_move(self.mouse_move_handler)\n", |
| 275 | + " self.on_mouse_up(self.mouse_up_handler)\n", |
| 276 | + " self.on_mouse_out(self.mouse_out_handler)\n", |
| 277 | + "\n", |
| 278 | + " def update_matrix(self, dx=None, dy=None):\n", |
| 279 | + " dx = dx if dx is not None else self.dx\n", |
| 280 | + " dy = dy if dy is not None else self.dy\n", |
| 281 | + "\n", |
| 282 | + " self.camera.update_position(dy, dx)\n", |
| 283 | + "\n", |
| 284 | + " dist = np.linalg.norm(self.camera.position - triangles_positions, axis=1)\n", |
| 285 | + " \n", |
| 286 | + " # Face culling: Get rid of the triangles that are not facing the camera\n", |
| 287 | + " triangles_facing_camera = np.dot(triangles_normals, self.camera.front) < 0\n", |
| 288 | + "\n", |
| 289 | + " self.triangles = triangles[triangles_facing_camera]\n", |
| 290 | + " self.triangles_normals = triangles_normals[triangles_facing_camera]\n", |
| 291 | + " self.dist = dist[triangles_facing_camera]\n", |
| 292 | + " \n", |
| 293 | + " # Face sorting: Sort triangle by depth (distance to camera) so we can draw further triangles first\n", |
| 294 | + " self.order = np.flip(np.argsort(self.dist))\n", |
| 295 | + " \n", |
| 296 | + " # Project triangles\n", |
| 297 | + " triangle_vertices = self.triangles.reshape(self.triangles.shape[0] * self.triangles.shape[1], 3)\n", |
| 298 | + " proj_x, proj_y, _ = project_vector(triangle_vertices[:,0], triangle_vertices[:,1], triangle_vertices[:,2], self.camera.matrix)\n", |
| 299 | + " proj_x = proj_x * self.width + self.width / 2\n", |
| 300 | + " proj_y = proj_y * self.height + self.height / 2\n", |
| 301 | + "\n", |
| 302 | + " self.proj_triangles = np.stack((proj_x, proj_y), axis=1).reshape(self.triangles.shape[0], self.triangles.shape[1], 2)\n", |
| 303 | + "\n", |
| 304 | + " self.draw()\n", |
| 305 | + "\n", |
| 306 | + " def draw(self):\n", |
| 307 | + " with hold_canvas(self):\n", |
| 308 | + " self.clear()\n", |
| 309 | + "\n", |
| 310 | + " # Now let's draw triangles\n", |
| 311 | + " for i in self.order:\n", |
| 312 | + " triangle = self.proj_triangles[i]\n", |
| 313 | + " normal = self.triangles_normals[i]\n", |
| 314 | + " \n", |
| 315 | + " # Shading depending on light direction and face normal\n", |
| 316 | + " light = np.dot(light_direction, normal)\n", |
| 317 | + " if light < 0.4:\n", |
| 318 | + " light = 0.4\n", |
| 319 | + " elif light > 1:\n", |
| 320 | + " light = 1\n", |
| 321 | + " r, g, b = int(214 * light), int(224 * light), int(125 * light)\n", |
| 322 | + " self.fill_style = 'rgb({}, {}, {})'.format(r, g, b)\n", |
| 323 | + " \n", |
| 324 | + " self.fill_polygon(triangle)\n", |
| 325 | + "\n", |
| 326 | + " def mouse_down_handler(self, pixel_x, pixel_y):\n", |
| 327 | + " self.dragging = True\n", |
| 328 | + " self.x_mouse = pixel_x\n", |
| 329 | + " self.y_mouse = pixel_y\n", |
| 330 | + "\n", |
| 331 | + " def mouse_move_handler(self, pixel_x, pixel_y):\n", |
| 332 | + " if self.dragging:\n", |
| 333 | + " self.dx_new = self.dx + pixel_x - self.x_mouse\n", |
| 334 | + " self.dy_new = self.dy + pixel_y - self.y_mouse\n", |
| 335 | + " \n", |
| 336 | + " self.update_matrix(self.dx_new, self.dy_new)\n", |
| 337 | + " \n", |
| 338 | + " def mouse_up_handler(self, pixel_x, pixel_y):\n", |
| 339 | + " if self.dragging:\n", |
| 340 | + " self.dragging = False\n", |
| 341 | + " self.dx = self.dx_new\n", |
| 342 | + " self.dy = self.dy_new\n", |
| 343 | + " \n", |
| 344 | + " def mouse_out_handler(self, pixel_x, pixel_y):\n", |
| 345 | + " if self.dragging:\n", |
| 346 | + " self.dragging = False\n", |
| 347 | + " self.dx = self.dx_new\n", |
| 348 | + " self.dy = self.dy_new" |
| 349 | + ] |
| 350 | + }, |
| 351 | + { |
| 352 | + "cell_type": "code", |
| 353 | + "execution_count": null, |
| 354 | + "metadata": {}, |
| 355 | + "outputs": [], |
| 356 | + "source": [ |
| 357 | + "monkey = Monkey()\n", |
| 358 | + "monkey" |
| 359 | + ] |
| 360 | + } |
| 361 | + ], |
| 362 | + "metadata": { |
| 363 | + "kernelspec": { |
| 364 | + "display_name": "Python 3", |
| 365 | + "language": "python", |
| 366 | + "name": "python3" |
| 367 | + }, |
| 368 | + "language_info": { |
| 369 | + "codemirror_mode": { |
| 370 | + "name": "ipython", |
| 371 | + "version": 3 |
| 372 | + }, |
| 373 | + "file_extension": ".py", |
| 374 | + "mimetype": "text/x-python", |
| 375 | + "name": "python", |
| 376 | + "nbconvert_exporter": "python", |
| 377 | + "pygments_lexer": "ipython3", |
| 378 | + "version": "3.9.0" |
| 379 | + } |
| 380 | + }, |
| 381 | + "nbformat": 4, |
| 382 | + "nbformat_minor": 4 |
| 383 | +} |
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