webgl_geometry_extrude_splines.html 13 KB

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  1. <!doctype html>
  2. <html lang="en">
  3. <head>
  4. <title>three.js webgl - geometry - shapes</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. <style>
  8. body {
  9. font-family: Monospace;
  10. background-color: #f0f0f0;
  11. margin: 0px;
  12. overflow: hidden;
  13. }
  14. </style>
  15. </head>
  16. <body>
  17. <canvas id="debug" style="position:absolute; left:100px"></canvas>
  18. <script src="../build/Three.js"></script>
  19. <script src="../src/extras/core/Curve.js"></script>
  20. <script src="../src/extras/geometries/TubeGeometry.js"></script>
  21. <script src="js/Stats.js"></script>
  22. <script>
  23. // Lets define some curves
  24. // Formula from http://mathworld.wolfram.com/HeartCurve.html
  25. THREE.HeartCurve = THREE.Curve.create(
  26. function ( s ) {
  27. this.scale = ( s === undefined ) ? 5 : s;
  28. },
  29. function ( t ) {
  30. t *= 2 * Math.PI;
  31. var tx = 16 * Math.pow( Math.sin( t ), 3 );
  32. var ty = 13 * Math.cos( t )
  33. - 5 * Math.cos( 2 * t )
  34. - 2 * Math.cos( 3 * t )
  35. - Math.cos( 4 * t );
  36. var tz = 0;
  37. return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
  38. }
  39. );
  40. // Viviani's Curve
  41. // http://en.wikipedia.org/wiki/Viviani%27s_curve
  42. THREE.VivianiCurve = THREE.Curve.create(
  43. function ( radius ) {
  44. this.radius = radius;
  45. },
  46. function ( t ) {
  47. t = t * 4 * Math.PI; // Normalized to 0..1
  48. var a = this.radius / 2;
  49. var tx = a * ( 1 + Math.cos( t ) );
  50. var ty = a * Math.sin( t );
  51. var tz = 2 * a * Math.sin( t / 2 );
  52. return new THREE.Vector3( tx, ty, tz );
  53. }
  54. );
  55. THREE.KnotCurve = THREE.Curve.create(
  56. function () {
  57. },
  58. function ( t ) {
  59. t *= 2 * Math.PI;
  60. var R = 10;
  61. var s = 50;
  62. var tx = s * Math.sin( t );
  63. var ty = Math.cos( t ) * ( R + s * Math.cos( t ) );
  64. var tz = Math.sin( t ) * ( R + s * Math.cos( t ) );
  65. return new THREE.Vector3( tx, ty, tz );
  66. }
  67. );
  68. THREE.HelixCurve = THREE.Curve.create(
  69. function () {
  70. },
  71. function ( t ) {
  72. var a = 30; // radius
  73. var b = 150; //height
  74. var t2 = 2 * Math.PI * t * b / 30;
  75. var tx = Math.cos( t2 ) * a;
  76. var ty = Math.sin( t2 ) * a;
  77. var tz = b * t;
  78. return new THREE.Vector3( tx, ty, tz );
  79. }
  80. );
  81. // Replacement for TorusKnotGeometry?
  82. THREE.TrefoilKnot = THREE.Curve.create(
  83. function ( s ) {
  84. this.scale = ( s === undefined ) ? 10 : s;
  85. },
  86. function ( t ) {
  87. t *= Math.PI * 2;
  88. var tx = ( 2 + Math.cos( 3 * t ) ) * Math.cos( 2 * t );
  89. var ty = ( 2 + Math.cos( 3 * t ) ) * Math.sin( 2 * t );
  90. var tz = Math.sin( 3 * t );
  91. return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
  92. }
  93. );
  94. // Formulas from http://mathdl.maa.org/images/upload_library/23/stemkoski/knots/page6.html
  95. THREE.TorusKnot = THREE.Curve.create(
  96. function ( s ) {
  97. this.scale = ( s === undefined ) ? 10 : s;
  98. },
  99. function ( t ) {
  100. t *= Math.PI * 2;
  101. var p = 3, q = 4;
  102. var tx = ( 2 + Math.cos( q * t ) ) * Math.cos( p * t );
  103. var ty = ( 2 + Math.cos( q * t ) ) * Math.sin( p * t );
  104. var tz = Math.sin( q * t );
  105. return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
  106. }
  107. );
  108. THREE.CinquefoilKnot = THREE.Curve.create(
  109. function ( s ) {
  110. this.scale = ( s === undefined ) ? 10 : s;
  111. },
  112. function ( t ) {
  113. t *= Math.PI * 2;
  114. var p = 2, q = 5;
  115. var tx = ( 2 + Math.cos( q * t ) ) * Math.cos( p * t );
  116. var ty = ( 2 + Math.cos( q * t ) ) * Math.sin( p * t );
  117. var tz = Math.sin( q * t );
  118. return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
  119. }
  120. );
  121. THREE.TrefoilPolynomialKnot = THREE.Curve.create(
  122. function ( s ) {
  123. this.scale = ( s === undefined ) ? 10 : s;
  124. },
  125. function ( t ) {
  126. t = t * 4 - 2;
  127. var tx = Math.pow( t, 3 ) - 3 * t;
  128. var ty = Math.pow( t, 4 ) - 4 * t * t;
  129. var tz = 1/ 5 * Math.pow( t, 5 ) - 2 * t;
  130. return new THREE.Vector3(tx, ty, tz).multiplyScalar(this.scale);
  131. }
  132. );
  133. var sin = Math.sin, pow = Math.pow, cos = Math.cos;
  134. var scale = function ( x, y, t ) {
  135. var r = y - x;
  136. return t * r + x;
  137. }
  138. THREE.FigureEightPolynomialKnot = THREE.Curve.create(
  139. function ( s ) {
  140. this.scale = ( s === undefined ) ? 1 : s;
  141. },
  142. function ( t ) {
  143. t = scale( -4, 4, t );
  144. var tx = 2 / 5 * t * ( t * t - 7 ) * ( t * t - 10 );
  145. var ty = pow( t, 4 ) - 13 * t * t;
  146. var tz = 1 / 10 * t * ( t * t - 4 ) * ( t * t - 9 ) * ( t * t - 12 );
  147. return new THREE.Vector3( tx, ty, tz ).multiplyScalar( this.scale );
  148. }
  149. );
  150. // When there's time, try more formulas at http://mathdl.maa.org/images/upload_library/23/stemkoski/knots/page4.html
  151. //http://www.mi.sanu.ac.rs/vismath/taylorapril2011/Taylor.pdf
  152. THREE.DecoratedTorusKnot4a = THREE.Curve.create(
  153. function ( s ) {
  154. this.scale = ( s === undefined ) ? 40 : s;
  155. },
  156. function ( t ) {
  157. t *= Math.PI * 2;
  158. var x = cos( 2 * t ) * ( 1 + 0.6 * ( cos( 5 * t ) + 0.75 * cos( 10 * t ) ) );
  159. var y = sin( 2 * t ) * ( 1 + 0.6 * ( cos( 5 * t ) + 0.75 * cos( 10 * t ) ) );
  160. var z = 0.35 * sin( 5 * t );
  161. return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
  162. }
  163. );
  164. THREE.DecoratedTorusKnot4b = THREE.Curve.create(
  165. function ( s ) {
  166. this.scale = ( s === undefined ) ? 40 : s;
  167. },
  168. function ( t ) {
  169. var fi = t * Math.PI * 2;
  170. var x = cos( 2 * fi ) * ( 1 + 0.45 * cos( 3 * fi ) + 0.4 * cos( 9 * fi ) );
  171. var y = sin( 2 * fi ) * ( 1 + 0.45 * cos( 3 * fi ) + 0.4 * cos( 9 * fi ) );
  172. var z = 0.2 * sin( 9 * fi );
  173. return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
  174. }
  175. );
  176. THREE.DecoratedTorusKnot5a = THREE.Curve.create(
  177. function ( s ) {
  178. this.scale = ( s === undefined ) ? 40 : s;
  179. },
  180. function ( t ) {
  181. var fi = t * Math.PI * 2;
  182. var x = cos( 3 * fi ) * ( 1 + 0.3 * cos( 5 * fi ) + 0.5 * cos( 10 * fi ) );
  183. var y = sin( 3 * fi ) * ( 1 + 0.3 * cos( 5 * fi ) + 0.5 * cos( 10 * fi ) );
  184. var z = 0.2 * sin( 20 * fi );
  185. return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
  186. }
  187. );
  188. THREE.DecoratedTorusKnot5c = THREE.Curve.create(
  189. function ( s ) {
  190. this.scale = ( s === undefined ) ? 40 : s;
  191. },
  192. function ( t ) {
  193. var fi = t * Math.PI * 2;
  194. var x = cos( 4 * fi ) * ( 1 + 0.5 * ( cos( 5 * fi ) + 0.4 * cos( 20 * fi ) ) );
  195. var y = sin( 4 * fi ) * ( 1 + 0.5 * ( cos( 5 * fi ) + 0.4 * cos( 20 * fi ) ) );
  196. var z = 0.35 * sin( 15 * fi );
  197. return new THREE.Vector3( x, y, z ).multiplyScalar( this.scale );
  198. }
  199. );
  200. //
  201. var container, stats;
  202. var camera, scene, renderer;
  203. var text, plane;
  204. var targetRotation = 0;
  205. var targetRotationOnMouseDown = 0;
  206. var mouseX = 0;
  207. var mouseXOnMouseDown = 0;
  208. var windowHalfX = window.innerWidth / 2;
  209. var windowHalfY = window.innerHeight / 2;
  210. init();
  211. animate();
  212. function init() {
  213. container = document.createElement('div');
  214. document.body.appendChild(container);
  215. var info = document.createElement('div');
  216. info.style.position = 'absolute';
  217. info.style.top = '10px';
  218. info.style.width = '100%';
  219. info.style.textAlign = 'center';
  220. info.innerHTML = 'Simple procedurally generated 3D shapes example by <a href="http://www.lab4games.net/zz85/blog">zz85</a><br>Drag to spin';
  221. container.appendChild(info);
  222. scene = new THREE.Scene();
  223. camera = new THREE.PerspectiveCamera(50, window.innerWidth / window.innerHeight, 1, 1000);
  224. camera.position.set(0, 50, 500);
  225. scene.add(camera);
  226. var light = new THREE.DirectionalLight(0xffffff);
  227. light.position.set(0, 0, 1);
  228. scene.add(light);
  229. parent = new THREE.Object3D();
  230. parent.position.y = 100;
  231. scene.add(parent);
  232. function addGeometry(geometry, color, x, y, z, rx, ry, rz, s) {
  233. // 3d shape
  234. var mesh = THREE.SceneUtils.createMultiMaterialObject( geometry, [
  235. new THREE.MeshLambertMaterial( { color: color, opacity: 0.2, transparent: true } ),
  236. new THREE.MeshBasicMaterial( { color: 0x000000, opacity: 0.3, wireframe: true } )
  237. ] );
  238. if ( geometry.debug ) mesh.add( geometry.debug );
  239. mesh.position.set( x, y, z - 75 );
  240. mesh.rotation.set( rx, ry, rz );
  241. mesh.scale.set(s, s, s);
  242. //mesh.children[0].doubleSided = true;
  243. parent.add( mesh );
  244. }
  245. // var extrudePath = new THREE.SplineCurve3([
  246. // new THREE.Vector3(0, 10, -10), new THREE.Vector3(10, 0, -10), new THREE.Vector3(20, 0, 0), new THREE.Vector3(30, 0, 10), new THREE.Vector3(30, 0, 20), new THREE.Vector3(20, 0, 30), new THREE.Vector3(10, 0, 30), new THREE.Vector3(0, 0, 30), new THREE.Vector3(-10, 10, 30), new THREE.Vector3(-10, 20, 30), new THREE.Vector3(0, 30, 30), new THREE.Vector3(10, 30, 30), new THREE.Vector3(20, 30, 15), new THREE.Vector3(10, 30, 10),
  247. // new THREE.Vector3(0, 30, 10), new THREE.Vector3(-10, 20, 10), new THREE.Vector3(-10, 10, 10), new THREE.Vector3(0, 0, 10), new THREE.Vector3(10, -10, 10), new THREE.Vector3(20, -15, 10), new THREE.Vector3(30, -15, 10), new THREE.Vector3(40, -15, 10), new THREE.Vector3(50, -15, 10), new THREE.Vector3(60, 0, 10), new THREE.Vector3(70, 0, 0), new THREE.Vector3(80, 0, 0), new THREE.Vector3(90, 0, 0), new THREE.Vector3(100, 0, 0)]);
  248. // var extrudePath = new THREE.HeartCurve( 3.5 );
  249. // var extrudePath = new THREE.VivianiCurve( 70 );
  250. // var extrudePath = new THREE.KnotCurve();
  251. // extrudePath = new THREE.HelixCurve();
  252. // var extrudePath = new THREE.ClosedSplineCurve3( [
  253. // new THREE.Vector3( 0, -40, -40 ),
  254. // new THREE.Vector3( 0, 40, -40 ),
  255. // new THREE.Vector3( 0, 140, -40 ),
  256. // new THREE.Vector3( 0, 40, 40 ),
  257. // new THREE.Vector3( 0, -40, 40 ),
  258. // ] );
  259. extrudePath = new THREE.TrefoilKnot();
  260. // extrudePath = new THREE.TorusKnot( 20 );
  261. // extrudePath = new THREE.CinquefoilKnot( 20 );
  262. // extrudePath = new THREE.TrefoilPolynomialKnot( 14 );
  263. // extrudePath = new THREE.FigureEightPolynomialKnot();
  264. // extrudePath = new THREE.DecoratedTorusKnot4a();
  265. // extrudePath = new THREE.DecoratedTorusKnot4b();
  266. // extrudePath = new THREE.DecoratedTorusKnot5a();
  267. // extrudePath = new THREE.DecoratedTorusKnot5c();
  268. var closed = true;
  269. var debug = true;
  270. var tube = new THREE.TubeGeometry( extrudePath, 100, 2, 3, closed, debug );
  271. addGeometry(tube, 0xff00ff, 0, -80, 0, 0, 0, 0, 6);
  272. //
  273. renderer = new THREE.WebGLRenderer( { antialias: true } );
  274. renderer.setSize( window.innerWidth, window.innerHeight );
  275. container.appendChild(renderer.domElement);
  276. stats = new Stats();
  277. stats.domElement.style.position = 'absolute';
  278. stats.domElement.style.top = '0px';
  279. container.appendChild( stats.domElement );
  280. document.addEventListener( 'mousedown', onDocumentMouseDown, false );
  281. document.addEventListener( 'touchstart', onDocumentTouchStart, false );
  282. document.addEventListener( 'touchmove', onDocumentTouchMove, false );
  283. }
  284. //
  285. function onDocumentMouseDown( event ) {
  286. event.preventDefault();
  287. document.addEventListener( 'mousemove', onDocumentMouseMove, false );
  288. document.addEventListener( 'mouseup', onDocumentMouseUp, false );
  289. document.addEventListener( 'mouseout', onDocumentMouseOut, false );
  290. mouseXOnMouseDown = event.clientX - windowHalfX;
  291. targetRotationOnMouseDown = targetRotation;
  292. }
  293. function onDocumentMouseMove( event ) {
  294. mouseX = event.clientX - windowHalfX;
  295. targetRotation = targetRotationOnMouseDown + ( mouseX - mouseXOnMouseDown ) * 0.02;
  296. }
  297. function onDocumentMouseUp( event ) {
  298. document.removeEventListener( 'mousemove', onDocumentMouseMove, false );
  299. document.removeEventListener( 'mouseup', onDocumentMouseUp, false );
  300. document.removeEventListener( 'mouseout', onDocumentMouseOut, false );
  301. }
  302. function onDocumentMouseOut( event ) {
  303. document.removeEventListener( 'mousemove', onDocumentMouseMove, false );
  304. document.removeEventListener( 'mouseup', onDocumentMouseUp, false );
  305. document.removeEventListener( 'mouseout', onDocumentMouseOut, false );
  306. }
  307. function onDocumentTouchStart( event ) {
  308. if ( event.touches.length == 1 ) {
  309. event.preventDefault();
  310. mouseXOnMouseDown = event.touches[ 0 ].pageX - windowHalfX;
  311. targetRotationOnMouseDown = targetRotation;
  312. }
  313. }
  314. function onDocumentTouchMove(event) {
  315. if ( event.touches.length == 1 ) {
  316. event.preventDefault();
  317. mouseX = event.touches[ 0 ].pageX - windowHalfX;
  318. targetRotation = targetRotationOnMouseDown + ( mouseX - mouseXOnMouseDown ) * 0.05;
  319. }
  320. }
  321. //
  322. function animate() {
  323. requestAnimationFrame( animate );
  324. render();
  325. stats.update();
  326. }
  327. function render() {
  328. parent.rotation.y += ( targetRotation - parent.rotation.y ) * 0.05;
  329. renderer.render( scene, camera );
  330. }
  331. </script>
  332. </body>
  333. </html>
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