webgl_geometry_nurbs.html 11 KB

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  1. <!DOCTYPE html>
  2. <html lang="en">
  3. <head>
  4. <title>three.js webgl - geometry - NURBS</title>
  5. <meta charset="utf-8">
  6. <meta name="viewport" content="width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0">
  7. <link type="text/css" rel="stylesheet" href="main.css">
  8. <style>
  9. body {
  10. background-color: #f0f0f0;
  11. color: #444;
  12. }
  13. a {
  14. color: #08f;
  15. }
  16. </style>
  17. </head>
  18. <body>
  19. <div id="info">
  20. <a href="https://threejs.org" target="_blank" rel="noopener">three.js</a> - NURBS curve and surface example
  21. </div>
  22. <script type="importmap">
  23. {
  24. "imports": {
  25. "three": "../build/three.module.js",
  26. "three/addons/": "./jsm/"
  27. }
  28. }
  29. </script>
  30. <script type="module">
  31. import * as THREE from 'three';
  32. import Stats from 'three/addons/libs/stats.module.js';
  33. import { NURBSCurve } from 'three/addons/curves/NURBSCurve.js';
  34. import { NURBSSurface } from 'three/addons/curves/NURBSSurface.js';
  35. import { NURBSVolume } from 'three/addons/curves/NURBSVolume.js';
  36. import { ParametricGeometry } from 'three/addons/geometries/ParametricGeometry.js';
  37. let container, stats;
  38. let camera, scene, renderer;
  39. let group;
  40. let targetRotation = 0;
  41. let targetRotationOnPointerDown = 0;
  42. let pointerX = 0;
  43. let pointerXOnPointerDown = 0;
  44. let windowHalfX = window.innerWidth / 2;
  45. init();
  46. animate();
  47. function init() {
  48. container = document.createElement( 'div' );
  49. document.body.appendChild( container );
  50. camera = new THREE.PerspectiveCamera( 50, window.innerWidth / window.innerHeight, 1, 2000 );
  51. camera.position.set( 0, 150, 750 );
  52. scene = new THREE.Scene();
  53. scene.background = new THREE.Color( 0xf0f0f0 );
  54. scene.add( new THREE.AmbientLight( 0xffffff ) );
  55. const light = new THREE.DirectionalLight( 0xffffff, 3 );
  56. light.position.set( 1, 1, 1 );
  57. scene.add( light );
  58. group = new THREE.Group();
  59. group.position.y = 50;
  60. scene.add( group );
  61. // NURBS curve
  62. const nurbsControlPoints = [];
  63. const nurbsKnots = [];
  64. const nurbsDegree = 3;
  65. for ( let i = 0; i <= nurbsDegree; i ++ ) {
  66. nurbsKnots.push( 0 );
  67. }
  68. for ( let i = 0, j = 20; i < j; i ++ ) {
  69. nurbsControlPoints.push(
  70. new THREE.Vector4(
  71. Math.random() * 400 - 200,
  72. Math.random() * 400,
  73. Math.random() * 400 - 200,
  74. 1 // weight of control point: higher means stronger attraction
  75. )
  76. );
  77. const knot = ( i + 1 ) / ( j - nurbsDegree );
  78. nurbsKnots.push( THREE.MathUtils.clamp( knot, 0, 1 ) );
  79. }
  80. const nurbsCurve = new NURBSCurve( nurbsDegree, nurbsKnots, nurbsControlPoints );
  81. const nurbsGeometry = new THREE.BufferGeometry();
  82. nurbsGeometry.setFromPoints( nurbsCurve.getPoints( 200 ) );
  83. const nurbsMaterial = new THREE.LineBasicMaterial( { color: 0x333333 } );
  84. const nurbsLine = new THREE.Line( nurbsGeometry, nurbsMaterial );
  85. nurbsLine.position.set( 0, - 100, 0 );
  86. group.add( nurbsLine );
  87. const nurbsControlPointsGeometry = new THREE.BufferGeometry();
  88. nurbsControlPointsGeometry.setFromPoints( nurbsCurve.controlPoints );
  89. const nurbsControlPointsMaterial = new THREE.LineBasicMaterial( { color: 0x333333, opacity: 0.25, transparent: true } );
  90. const nurbsControlPointsLine = new THREE.Line( nurbsControlPointsGeometry, nurbsControlPointsMaterial );
  91. nurbsControlPointsLine.position.copy( nurbsLine.position );
  92. group.add( nurbsControlPointsLine );
  93. // NURBS surface
  94. {
  95. const nsControlPoints = [
  96. [
  97. new THREE.Vector4( - 200, - 200, 100, 1 ),
  98. new THREE.Vector4( - 200, - 100, - 200, 1 ),
  99. new THREE.Vector4( - 200, 100, 250, 1 ),
  100. new THREE.Vector4( - 200, 200, - 100, 1 )
  101. ],
  102. [
  103. new THREE.Vector4( 0, - 200, 0, 1 ),
  104. new THREE.Vector4( 0, - 100, - 100, 5 ),
  105. new THREE.Vector4( 0, 100, 150, 5 ),
  106. new THREE.Vector4( 0, 200, 0, 1 )
  107. ],
  108. [
  109. new THREE.Vector4( 200, - 200, - 100, 1 ),
  110. new THREE.Vector4( 200, - 100, 200, 1 ),
  111. new THREE.Vector4( 200, 100, - 250, 1 ),
  112. new THREE.Vector4( 200, 200, 100, 1 )
  113. ]
  114. ];
  115. const degree1 = 2;
  116. const degree2 = 3;
  117. const knots1 = [ 0, 0, 0, 1, 1, 1 ];
  118. const knots2 = [ 0, 0, 0, 0, 1, 1, 1, 1 ];
  119. const nurbsSurface = new NURBSSurface( degree1, degree2, knots1, knots2, nsControlPoints );
  120. const map = new THREE.TextureLoader().load( 'textures/uv_grid_opengl.jpg' );
  121. map.wrapS = map.wrapT = THREE.RepeatWrapping;
  122. map.anisotropy = 16;
  123. map.colorSpace = THREE.SRGBColorSpace;
  124. function getSurfacePoint( u, v, target ) {
  125. return nurbsSurface.getPoint( u, v, target );
  126. }
  127. const geometry = new ParametricGeometry( getSurfacePoint, 20, 20 );
  128. const material = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
  129. const object = new THREE.Mesh( geometry, material );
  130. object.position.set( - 400, 100, 0 );
  131. object.scale.multiplyScalar( 1 );
  132. group.add( object );
  133. }
  134. // NURBS volume
  135. {
  136. const nsControlPoints = [
  137. [
  138. [
  139. new THREE.Vector4( - 200, - 200, - 200, 1 ),
  140. new THREE.Vector4( - 200, - 200, 200, 1 )
  141. ],
  142. [
  143. new THREE.Vector4( - 200, - 100, - 200, 1 ),
  144. new THREE.Vector4( - 200, - 100, 200, 1 )
  145. ],
  146. [
  147. new THREE.Vector4( - 200, 100, - 200, 1 ),
  148. new THREE.Vector4( - 200, 100, 200, 1 )
  149. ],
  150. [
  151. new THREE.Vector4( - 200, 200, - 200, 1 ),
  152. new THREE.Vector4( - 200, 200, 200, 1 )
  153. ]
  154. ],
  155. [
  156. [
  157. new THREE.Vector4( 0, - 200, - 200, 1 ),
  158. new THREE.Vector4( 0, - 200, 200, 1 )
  159. ],
  160. [
  161. new THREE.Vector4( 0, - 100, - 200, 1 ),
  162. new THREE.Vector4( 0, - 100, 200, 1 )
  163. ],
  164. [
  165. new THREE.Vector4( 0, 100, - 200, 1 ),
  166. new THREE.Vector4( 0, 100, 200, 1 )
  167. ],
  168. [
  169. new THREE.Vector4( 0, 200, - 200, 1 ),
  170. new THREE.Vector4( 0, 200, 200, 1 )
  171. ]
  172. ],
  173. [
  174. [
  175. new THREE.Vector4( 200, - 200, - 200, 1 ),
  176. new THREE.Vector4( 200, - 200, 200, 1 )
  177. ],
  178. [
  179. new THREE.Vector4( 200, - 100, 0, 1 ),
  180. new THREE.Vector4( 200, - 100, 100, 1 )
  181. ],
  182. [
  183. new THREE.Vector4( 200, 100, 0, 1 ),
  184. new THREE.Vector4( 200, 100, 100, 1 )
  185. ],
  186. [
  187. new THREE.Vector4( 200, 200, 0, 1 ),
  188. new THREE.Vector4( 200, 200, 100, 1 )
  189. ]
  190. ]
  191. ];
  192. const degree1 = 2;
  193. const degree2 = 3;
  194. const degree3 = 1;
  195. const knots1 = [ 0, 0, 0, 1, 1, 1 ];
  196. const knots2 = [ 0, 0, 0, 0, 1, 1, 1, 1 ];
  197. const knots3 = [ 0, 0, 1, 1 ];
  198. const nurbsVolume = new NURBSVolume( degree1, degree2, degree3, knots1, knots2, knots3, nsControlPoints );
  199. const map = new THREE.TextureLoader().load( 'textures/uv_grid_opengl.jpg' );
  200. map.wrapS = map.wrapT = THREE.RepeatWrapping;
  201. map.anisotropy = 16;
  202. map.colorSpace = THREE.SRGBColorSpace;
  203. // Since ParametricGeometry() only support bi-variate parametric geometries
  204. // we create evaluation functions for different surfaces with one of the three
  205. // parameter values (u, v, w) kept constant and create multiple THREE.Mesh
  206. // objects one for each surface
  207. function getSurfacePointFront( u, v, target ) {
  208. return nurbsVolume.getPoint( u, v, 0, target );
  209. }
  210. function getSurfacePointMiddle( u, v, target ) {
  211. return nurbsVolume.getPoint( u, v, 0.5, target );
  212. }
  213. function getSurfacePointBack( u, v, target ) {
  214. return nurbsVolume.getPoint( u, v, 1, target );
  215. }
  216. function getSurfacePointTop( u, w, target ) {
  217. return nurbsVolume.getPoint( u, 1, w, target );
  218. }
  219. function getSurfacePointSide( v, w, target ) {
  220. return nurbsVolume.getPoint( 0, v, w, target );
  221. }
  222. const geometryFront = new ParametricGeometry( getSurfacePointFront, 20, 20 );
  223. const materialFront = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
  224. const objectFront = new THREE.Mesh( geometryFront, materialFront );
  225. objectFront.position.set( 400, 100, 0 );
  226. objectFront.scale.multiplyScalar( 0.5 );
  227. group.add( objectFront );
  228. const geometryMiddle = new ParametricGeometry( getSurfacePointMiddle, 20, 20 );
  229. const materialMiddle = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
  230. const objectMiddle = new THREE.Mesh( geometryMiddle, materialMiddle );
  231. objectMiddle.position.set( 400, 100, 0 );
  232. objectMiddle.scale.multiplyScalar( 0.5 );
  233. group.add( objectMiddle );
  234. const geometryBack = new ParametricGeometry( getSurfacePointBack, 20, 20 );
  235. const materialBack = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
  236. const objectBack = new THREE.Mesh( geometryBack, materialBack );
  237. objectBack.position.set( 400, 100, 0 );
  238. objectBack.scale.multiplyScalar( 0.5 );
  239. group.add( objectBack );
  240. const geometryTop = new ParametricGeometry( getSurfacePointTop, 20, 20 );
  241. const materialTop = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
  242. const objectTop = new THREE.Mesh( geometryTop, materialTop );
  243. objectTop.position.set( 400, 100, 0 );
  244. objectTop.scale.multiplyScalar( 0.5 );
  245. group.add( objectTop );
  246. const geometrySide = new ParametricGeometry( getSurfacePointSide, 20, 20 );
  247. const materialSide = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
  248. const objectSide = new THREE.Mesh( geometrySide, materialSide );
  249. objectSide.position.set( 400, 100, 0 );
  250. objectSide.scale.multiplyScalar( 0.5 );
  251. group.add( objectSide );
  252. }
  253. //
  254. renderer = new THREE.WebGLRenderer( { antialias: true } );
  255. renderer.setPixelRatio( window.devicePixelRatio );
  256. renderer.setSize( window.innerWidth, window.innerHeight );
  257. container.appendChild( renderer.domElement );
  258. stats = new Stats();
  259. container.appendChild( stats.dom );
  260. container.style.touchAction = 'none';
  261. container.addEventListener( 'pointerdown', onPointerDown );
  262. //
  263. window.addEventListener( 'resize', onWindowResize );
  264. }
  265. function onWindowResize() {
  266. windowHalfX = window.innerWidth / 2;
  267. camera.aspect = window.innerWidth / window.innerHeight;
  268. camera.updateProjectionMatrix();
  269. renderer.setSize( window.innerWidth, window.innerHeight );
  270. }
  271. //
  272. function onPointerDown( event ) {
  273. if ( event.isPrimary === false ) return;
  274. pointerXOnPointerDown = event.clientX - windowHalfX;
  275. targetRotationOnPointerDown = targetRotation;
  276. document.addEventListener( 'pointermove', onPointerMove );
  277. document.addEventListener( 'pointerup', onPointerUp );
  278. }
  279. function onPointerMove( event ) {
  280. if ( event.isPrimary === false ) return;
  281. pointerX = event.clientX - windowHalfX;
  282. targetRotation = targetRotationOnPointerDown + ( pointerX - pointerXOnPointerDown ) * 0.02;
  283. }
  284. function onPointerUp() {
  285. if ( event.isPrimary === false ) return;
  286. document.removeEventListener( 'pointermove', onPointerMove );
  287. document.removeEventListener( 'pointerup', onPointerUp );
  288. }
  289. //
  290. function animate() {
  291. requestAnimationFrame( animate );
  292. render();
  293. stats.update();
  294. }
  295. function render() {
  296. group.rotation.y += ( targetRotation - group.rotation.y ) * 0.05;
  297. renderer.render( scene, camera );
  298. }
  299. </script>
  300. </body>
  301. </html>