examples/webgl_geometry_nurbs.html

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<html lang="en">
	<head>
		<title>three.js webgl - geometry - NURBS</title>
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		<link type="text/css" rel="stylesheet" href="main.css">
		<style>
			body {
				background-color: #f0f0f0;
				color: #444;
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			a {
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	<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>