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- <!DOCTYPE html>
- <html lang="en">
- <head>
- <title>three.js webgl - geometry - NURBS</title>
- <meta charset="utf-8">
- <meta name="viewport" content="width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0">
- <link type="text/css" rel="stylesheet" href="main.css">
- <style>
- body {
- background-color: #f0f0f0;
- color: #444;
- }
- a {
- color: #08f;
- }
- </style>
- </head>
- <body>
- <div id="info">
- <a href="https://threejs.org" target="_blank" rel="noopener">three.js</a> - NURBS curve and surface example
- </div>
- <script type="importmap">
- {
- "imports": {
- "three": "../build/three.module.js",
- "three/addons/": "./jsm/"
- }
- }
- </script>
- <script type="module">
- import * as THREE from 'three';
- import Stats from 'three/addons/libs/stats.module.js';
- import { NURBSCurve } from 'three/addons/curves/NURBSCurve.js';
- import { NURBSSurface } from 'three/addons/curves/NURBSSurface.js';
- import { NURBSVolume } from 'three/addons/curves/NURBSVolume.js';
- import { ParametricGeometry } from 'three/addons/geometries/ParametricGeometry.js';
- let container, stats;
- let camera, scene, renderer;
- let group;
- let targetRotation = 0;
- let targetRotationOnPointerDown = 0;
- let pointerX = 0;
- let pointerXOnPointerDown = 0;
- let windowHalfX = window.innerWidth / 2;
- init();
- function init() {
- container = document.createElement( 'div' );
- document.body.appendChild( container );
- camera = new THREE.PerspectiveCamera( 50, window.innerWidth / window.innerHeight, 1, 2000 );
- camera.position.set( 0, 150, 750 );
- scene = new THREE.Scene();
- scene.background = new THREE.Color( 0xf0f0f0 );
- scene.add( new THREE.AmbientLight( 0xffffff ) );
- const light = new THREE.DirectionalLight( 0xffffff, 3 );
- light.position.set( 1, 1, 1 );
- scene.add( light );
- group = new THREE.Group();
- group.position.y = 50;
- scene.add( group );
- // NURBS curve
- const nurbsControlPoints = [];
- const nurbsKnots = [];
- const nurbsDegree = 3;
- for ( let i = 0; i <= nurbsDegree; i ++ ) {
- nurbsKnots.push( 0 );
- }
- for ( let i = 0, j = 20; i < j; i ++ ) {
- nurbsControlPoints.push(
- new THREE.Vector4(
- Math.random() * 400 - 200,
- Math.random() * 400,
- Math.random() * 400 - 200,
- 1 // weight of control point: higher means stronger attraction
- )
- );
- const knot = ( i + 1 ) / ( j - nurbsDegree );
- nurbsKnots.push( THREE.MathUtils.clamp( knot, 0, 1 ) );
- }
- const nurbsCurve = new NURBSCurve( nurbsDegree, nurbsKnots, nurbsControlPoints );
- const nurbsGeometry = new THREE.BufferGeometry();
- nurbsGeometry.setFromPoints( nurbsCurve.getPoints( 200 ) );
- const nurbsMaterial = new THREE.LineBasicMaterial( { color: 0x333333 } );
- const nurbsLine = new THREE.Line( nurbsGeometry, nurbsMaterial );
- nurbsLine.position.set( 0, - 100, 0 );
- group.add( nurbsLine );
- const nurbsControlPointsGeometry = new THREE.BufferGeometry();
- nurbsControlPointsGeometry.setFromPoints( nurbsCurve.controlPoints );
- const nurbsControlPointsMaterial = new THREE.LineBasicMaterial( { color: 0x333333, opacity: 0.25, transparent: true } );
- const nurbsControlPointsLine = new THREE.Line( nurbsControlPointsGeometry, nurbsControlPointsMaterial );
- nurbsControlPointsLine.position.copy( nurbsLine.position );
- group.add( nurbsControlPointsLine );
- // NURBS surface
- {
- const nsControlPoints = [
- [
- new THREE.Vector4( - 200, - 200, 100, 1 ),
- new THREE.Vector4( - 200, - 100, - 200, 1 ),
- new THREE.Vector4( - 200, 100, 250, 1 ),
- new THREE.Vector4( - 200, 200, - 100, 1 )
- ],
- [
- new THREE.Vector4( 0, - 200, 0, 1 ),
- new THREE.Vector4( 0, - 100, - 100, 5 ),
- new THREE.Vector4( 0, 100, 150, 5 ),
- new THREE.Vector4( 0, 200, 0, 1 )
- ],
- [
- new THREE.Vector4( 200, - 200, - 100, 1 ),
- new THREE.Vector4( 200, - 100, 200, 1 ),
- new THREE.Vector4( 200, 100, - 250, 1 ),
- new THREE.Vector4( 200, 200, 100, 1 )
- ]
- ];
- const degree1 = 2;
- const degree2 = 3;
- const knots1 = [ 0, 0, 0, 1, 1, 1 ];
- const knots2 = [ 0, 0, 0, 0, 1, 1, 1, 1 ];
- const nurbsSurface = new NURBSSurface( degree1, degree2, knots1, knots2, nsControlPoints );
- const map = new THREE.TextureLoader().load( 'textures/uv_grid_opengl.jpg' );
- map.wrapS = map.wrapT = THREE.RepeatWrapping;
- map.anisotropy = 16;
- map.colorSpace = THREE.SRGBColorSpace;
- function getSurfacePoint( u, v, target ) {
- return nurbsSurface.getPoint( u, v, target );
- }
- const geometry = new ParametricGeometry( getSurfacePoint, 20, 20 );
- const material = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
- const object = new THREE.Mesh( geometry, material );
- object.position.set( - 400, 100, 0 );
- object.scale.multiplyScalar( 1 );
- group.add( object );
-
- }
-
- // NURBS volume
- {
- const nsControlPoints = [
- [
- [
- new THREE.Vector4( - 200, - 200, - 200, 1 ),
- new THREE.Vector4( - 200, - 200, 200, 1 )
- ],
- [
- new THREE.Vector4( - 200, - 100, - 200, 1 ),
- new THREE.Vector4( - 200, - 100, 200, 1 )
- ],
- [
- new THREE.Vector4( - 200, 100, - 200, 1 ),
- new THREE.Vector4( - 200, 100, 200, 1 )
- ],
- [
- new THREE.Vector4( - 200, 200, - 200, 1 ),
- new THREE.Vector4( - 200, 200, 200, 1 )
- ]
- ],
- [
- [
- new THREE.Vector4( 0, - 200, - 200, 1 ),
- new THREE.Vector4( 0, - 200, 200, 1 )
- ],
- [
- new THREE.Vector4( 0, - 100, - 200, 1 ),
- new THREE.Vector4( 0, - 100, 200, 1 )
- ],
- [
- new THREE.Vector4( 0, 100, - 200, 1 ),
- new THREE.Vector4( 0, 100, 200, 1 )
- ],
- [
- new THREE.Vector4( 0, 200, - 200, 1 ),
- new THREE.Vector4( 0, 200, 200, 1 )
- ]
- ],
- [
- [
- new THREE.Vector4( 200, - 200, - 200, 1 ),
- new THREE.Vector4( 200, - 200, 200, 1 )
- ],
- [
- new THREE.Vector4( 200, - 100, 0, 1 ),
- new THREE.Vector4( 200, - 100, 100, 1 )
- ],
- [
- new THREE.Vector4( 200, 100, 0, 1 ),
- new THREE.Vector4( 200, 100, 100, 1 )
- ],
- [
- new THREE.Vector4( 200, 200, 0, 1 ),
- new THREE.Vector4( 200, 200, 100, 1 )
- ]
- ]
- ];
- const degree1 = 2;
- const degree2 = 3;
- const degree3 = 1;
- const knots1 = [ 0, 0, 0, 1, 1, 1 ];
- const knots2 = [ 0, 0, 0, 0, 1, 1, 1, 1 ];
- const knots3 = [ 0, 0, 1, 1 ];
- const nurbsVolume = new NURBSVolume( degree1, degree2, degree3, knots1, knots2, knots3, nsControlPoints );
- const map = new THREE.TextureLoader().load( 'textures/uv_grid_opengl.jpg' );
- map.wrapS = map.wrapT = THREE.RepeatWrapping;
- map.anisotropy = 16;
- map.colorSpace = THREE.SRGBColorSpace;
- // Since ParametricGeometry() only support bi-variate parametric geometries
- // we create evaluation functions for different surfaces with one of the three
- // parameter values (u, v, w) kept constant and create multiple THREE.Mesh
- // objects one for each surface
- function getSurfacePointFront( u, v, target ) {
- return nurbsVolume.getPoint( u, v, 0, target );
- }
- function getSurfacePointMiddle( u, v, target ) {
- return nurbsVolume.getPoint( u, v, 0.5, target );
- }
- function getSurfacePointBack( u, v, target ) {
- return nurbsVolume.getPoint( u, v, 1, target );
- }
- function getSurfacePointTop( u, w, target ) {
- return nurbsVolume.getPoint( u, 1, w, target );
- }
- function getSurfacePointSide( v, w, target ) {
- return nurbsVolume.getPoint( 0, v, w, target );
- }
- const geometryFront = new ParametricGeometry( getSurfacePointFront, 20, 20 );
- const materialFront = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
- const objectFront = new THREE.Mesh( geometryFront, materialFront );
- objectFront.position.set( 400, 100, 0 );
- objectFront.scale.multiplyScalar( 0.5 );
- group.add( objectFront );
- const geometryMiddle = new ParametricGeometry( getSurfacePointMiddle, 20, 20 );
- const materialMiddle = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
- const objectMiddle = new THREE.Mesh( geometryMiddle, materialMiddle );
- objectMiddle.position.set( 400, 100, 0 );
- objectMiddle.scale.multiplyScalar( 0.5 );
- group.add( objectMiddle );
- const geometryBack = new ParametricGeometry( getSurfacePointBack, 20, 20 );
- const materialBack = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
- const objectBack = new THREE.Mesh( geometryBack, materialBack );
- objectBack.position.set( 400, 100, 0 );
- objectBack.scale.multiplyScalar( 0.5 );
- group.add( objectBack );
- const geometryTop = new ParametricGeometry( getSurfacePointTop, 20, 20 );
- const materialTop = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
- const objectTop = new THREE.Mesh( geometryTop, materialTop );
- objectTop.position.set( 400, 100, 0 );
- objectTop.scale.multiplyScalar( 0.5 );
- group.add( objectTop );
- const geometrySide = new ParametricGeometry( getSurfacePointSide, 20, 20 );
- const materialSide = new THREE.MeshLambertMaterial( { map: map, side: THREE.DoubleSide } );
- const objectSide = new THREE.Mesh( geometrySide, materialSide );
- objectSide.position.set( 400, 100, 0 );
- objectSide.scale.multiplyScalar( 0.5 );
- group.add( objectSide );
-
- }
-
- //
- renderer = new THREE.WebGLRenderer( { antialias: true } );
- renderer.setPixelRatio( window.devicePixelRatio );
- renderer.setSize( window.innerWidth, window.innerHeight );
- renderer.setAnimationLoop( animate );
- container.appendChild( renderer.domElement );
- stats = new Stats();
- container.appendChild( stats.dom );
- container.style.touchAction = 'none';
- container.addEventListener( 'pointerdown', onPointerDown );
- //
- window.addEventListener( 'resize', onWindowResize );
- }
- function onWindowResize() {
- windowHalfX = window.innerWidth / 2;
- camera.aspect = window.innerWidth / window.innerHeight;
- camera.updateProjectionMatrix();
- renderer.setSize( window.innerWidth, window.innerHeight );
- }
- //
- function onPointerDown( event ) {
- if ( event.isPrimary === false ) return;
- pointerXOnPointerDown = event.clientX - windowHalfX;
- targetRotationOnPointerDown = targetRotation;
- document.addEventListener( 'pointermove', onPointerMove );
- document.addEventListener( 'pointerup', onPointerUp );
- }
- function onPointerMove( event ) {
- if ( event.isPrimary === false ) return;
- pointerX = event.clientX - windowHalfX;
- targetRotation = targetRotationOnPointerDown + ( pointerX - pointerXOnPointerDown ) * 0.02;
- }
- function onPointerUp() {
- if ( event.isPrimary === false ) return;
- document.removeEventListener( 'pointermove', onPointerMove );
- document.removeEventListener( 'pointerup', onPointerUp );
- }
- //
- function animate() {
- render();
- stats.update();
- }
- function render() {
- group.rotation.y += ( targetRotation - group.rotation.y ) * 0.05;
- renderer.render( scene, camera );
- }
- </script>
- </body>
- </html>
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