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