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threeMeshIntersectExample.html
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/
threeMeshIntersectExample.html
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<!DOCTYPE html>
<html>
<head>
<title></title>
<script src="js/numeric-1.2.6.min.js"></script>
<script src="js/binomial.js"></script>
<script src="js/labor.js"></script>
<script src="../build/verb.js"></script>
<style>
body {
margin: 0;
}
</style>
</head>
<body>
<script src="js/three.min.js"></script>
<script src="js/OrbitControls.js"></script>
<script>
// construct the scene & camera
var scene = new THREE.Scene();
var camera = new THREE.PerspectiveCamera( 75, window.innerWidth / window.innerHeight, 0.1, 1000 );
camera.position.z = 1;
camera.position.y = -1;
camera.position.x = 2;
camera.up.set( 0, 0, 1 );
var renderer = new THREE.WebGLRenderer();
renderer.setSize( window.innerWidth, window.innerHeight );
document.body.appendChild( renderer.domElement );
// add subtle ambient lighting
var ambientLight = new THREE.AmbientLight(0x222222);
scene.add(ambientLight);
// directional lighting
var directionalLight = new THREE.DirectionalLight(0xffffff);
directionalLight.position.set(1, 1, 1).normalize();
scene.add(directionalLight);
var controls = new THREE.OrbitControls(camera, renderer.domElement);
function render() {
requestAnimationFrame( render );
renderer.render( scene, camera );
}
function asVector3(pts){
return pts.map(function(x){
return new THREE.Vector3(x[0],x[1],x[2]);
});
}
function pointsAsGeometry(threePts){
var geometry = new THREE.Geometry();
geometry.vertices.push.apply( geometry.vertices, threePts );
return geometry;
}
function tess(srf){
var srfObj = {
degree_u : srf.get('degreeU'),
degree_v : srf.get('degreeV'),
knots_u : srf.get('knotsU'),
knots_v : srf.get('knotsV'),
homo_control_points : srf.homogenize()
};
var tess = verb.eval.tessellate_rational_surface_adaptive( srfObj.degree_u,
srfObj.knots_u,
srfObj.degree_v,
srfObj.knots_v,
srfObj.homo_control_points);
return tess;
}
// verb.NurbsSurface -> THREE.Geometry
function tessellate(srf, udivs, vdivs) {
var srfObj = {
degree_u : srf.get('degreeU'),
degree_v : srf.get('degreeV'),
knots_u : srf.get('knotsU'),
knots_v : srf.get('knotsV'),
homo_control_points : srf.homogenize()
};
var tess = verb.eval.tessellate_rational_surface_adaptive( srfObj.degree_u,
srfObj.knots_u,
srfObj.degree_v,
srfObj.knots_v,
srfObj.homo_control_points );
// var f = new verb.eval.AdaptiveRefinementNode( srfObj );
// f.divide({ minDepth: 2, tol: 5e-2 });
// var tess = f.triangulate();
// var tess = srf.tessellate({ minDivsU: udivs, minDivsV: vdivs });
var geometry = new THREE.Geometry();
// convert vertices
var threePts = tess.points.map(function(x){
return new THREE.Vector3(x[0],x[1],x[2]);
});
geometry.vertices.push.apply( geometry.vertices, threePts );
// convert faces
var threeFaces = tess.faces.map(function(faceIndices){
var normals = faceIndices.map(function(x){
var vn = tess.normals[x];
vn = numeric.normalized( vn );
return new THREE.Vector3( vn[0], vn[1], vn[2] );
});
return new THREE.Face3(faceIndices[0],faceIndices[1],faceIndices[2], normals);
});
geometry.faces.push.apply(geometry.faces, threeFaces);
return geometry;
}
function addMeshToScene(mesh, wireframe){
var material = new THREE.MeshNormalMaterial( { wireframe: wireframe, transparent: false, side: THREE.DoubleSide, opacity: 0.4, shading: THREE.SmoothShading, side: THREE.DoubleSide } );
// var material = new THREE.MeshPhongMaterial( { color: 0x444444, side: THREE.DoubleSide, shading: THREE.SmoothShading } );
var tm = new THREE.Mesh( mesh, material );
scene.add( tm );
}
function addLinesToScene(geom){
var hexString = Math.floor(Math.random()*16777215).toString(16);
var hex = parseInt(hexString, 16);
var lineMat = new THREE.LineBasicMaterial({ linewidth: 2, color: 0xffffff});
var l = new THREE.Line( geom, lineMat );
scene.add( l );
}
var udivs0 = 20;
var vdivs0 = 20;
var udivs1 = 20;
var vdivs1 = 40;
function exampleTorusCylinderSuccess(){
// center, xaxis, yaxis, radius
var profile = new verb.Circle( [5,0,0], [1,0,0], [0,0,1], 2 );
var base = [0,0,0];
var axis = [0,0,1];
var angle = 2 * Math.PI
srf1 = new verb.RevolvedSurface( base, axis, angle, profile );
var axis = [-1,0,0]
, xaxis = [0,0,1]
, base = [8,0,0]
, height = 20
, radius = 2;
srf2 = new verb.Cylinder( axis, xaxis, base, height, radius );
udivs0 = 40;
vdivs0 = 40;
udivs1 = 40;
vdivs1 = 40;
}
function exampleTorusCylinderSuccess(){
// center, xaxis, yaxis, radius
var profile = new verb.Circle( [5,0,0], [1,0,0], [0,0,1], 2 );
var base = [0,0,0];
var axis = [0,0,1];
var angle = 2 * Math.PI
srf1 = new verb.RevolvedSurface( base, axis, angle, profile );
var axis = [-1,0,0]
, xaxis = [0,0,1]
, base = [8,0,0]
, height = 16
, radius = 2;
srf2 = new verb.Cylinder( axis, xaxis, base, height, radius );
udivs0 = 40;
vdivs0 = 20;
udivs1 = 20;
vdivs1 = 20;
}
function exampleTorusCylinderSuccess2(){
// center, xaxis, yaxis, radius
var profile = new verb.Circle( [5,0,0], [1,0,0], [0,0,1], 2 );
var base = [0,0,0];
var axis = [0,0,1];
var angle = 2 * Math.PI
srf1 = new verb.RevolvedSurface( base, axis, angle, profile );
var axis = [-1,0,0]
, xaxis = [0,0,1]
, base = [8,0,0]
, height = 16
, radius = 2;
srf2 = new verb.Cylinder( axis, xaxis, base, height, radius );
udivs0 = 80;
vdivs0 = 40;
udivs1 = 2;
vdivs1 = 40;
}
function exampleTorusCylinderSuccess3(){
// center, xaxis, yaxis, radius
var profile = new verb.Circle( [5,0,0], [1,0,0], [0,0,1], 2 );
var base = [0,0,0];
var axis = [0,0,1];
var angle = 2 * Math.PI
srf1 = new verb.RevolvedSurface( base, axis, angle, profile );
var axis = [-1,0,0]
, xaxis = [0,0,1]
, base = [8,0,2]
, height = 16
, radius = 2;
srf2 = new verb.Cylinder( axis, xaxis, base, height, radius );
udivs0 = 34;
vdivs0 = 20;
udivs1 = 2;
vdivs1 = 40;
}
function exampleGlancingPlaneCylinderSuccess(){
var axis = [0,0,1]
, xaxis = [1,0,0]
, base = [0,0,0]
, height = 5
, radius = 3;
srf1 = new verb.Cylinder( axis, xaxis, base, height, radius );
var p5 = [5,5,0]
, p6 = [-5,5,0]
, p7 = [-5,-5,0]
, p8 = [5,-5,0];
srf2 = new verb.FourPointSurface( p5, p6, p7, p8 );
udivs0 = 40;
vdivs0 = 40;
udivs1 = 40;
vdivs1 = 40;
}
function examplePlanePlaneSuccess(){
var p1 = [5,0,0]
, p2 = [5,0,6]
, p3 = [0,1,6]
, p4 = [0,0,0];
srf1 = new verb.FourPointSurface( p1, p2, p3, p4 );
var p5 = [5,-5,-5]
, p6 = [5,5,5]
, p7 = [0,5,9]
, p8 = [0,-5,-5];
srf2 = new verb.FourPointSurface( p5, p6, p7, p8 );
udivs0 = 15;
vdivs0 = 15;
udivs1 = 15;
vdivs1 = 15;
}
function exampleCylinderCylinderSuccess(){
var axis = [0,0,1]
, xaxis = [1,0,0]
, base = [0,0,0]
, height = 5
, radius = 3;
srf1 = new verb.Cylinder( axis, xaxis, base, height, radius );
var axis2 = [1,0,0]
, xaxis2 = [0,1,0]
, base2 = [0,0,-1]
, height2 = 10
, radius2 = 3;
srf2 = new verb.Cylinder( axis2, xaxis2, base2, height2, radius2 );
udivs0 = 60;
vdivs0 = 60;
udivs1 = 60;
vdivs1 = 60;
}
function exampleNurbsSurfacePlane(){
var degree = 3
, knots = [0, 0, 0, 0, 0.333, 0.666, 1, 1, 1, 1]
, pts = [ [ [0, 0, -10], [10, 0, 0], [20, 0, 0], [30, 0, 0] , [40, 0, 0], [50, 0, 9] ],
[ [0, -10, 0], [10, -10, 10], [20, -10, 10], [30, -10, 0] , [40, -10, 0], [50, -10, 0] ],
[ [0, -20, 0], [10, -20, 10], [20, -20, 10], [30, -20, 0] , [40, -20, -2], [50, -20, 0] ],
[ [0, -30, 0], [10, -30, 0], [20, -30, 0], [30, -30, 0] , [40, -30, 0], [50, -30, 0] ],
[ [0, -40, 0], [10, -40, 0], [20, -40, 0], [30, -40, 4] , [40, -40, -20], [50, -40, 0] ],
[ [0, -50, 12], [10, -50, 0], [20, -50, 0], [30, -50, 0] , [50, -50, 0], [50, -50, 15] ], ]
, wts = [ [ 1, 1, 1, 1, 1, 1],
[ 1, 1, 1, 1, 1, 1],
[ 1, 1, 1, 1, 1, 1],
[ 1, 1, 1, 1, 1, 1],
[ 1, 1, 1, 1, 1, 1],
[ 1, 1, 1, 1, 1, 1] ];
srf1 = new verb.NurbsSurface( degree, knots, degree, knots, pts, wts );
var p5 = [50,-50,3]
, p6 = [50,0,3]
, p7 = [0,0,3]
, p8 = [0,-50,3];
srf2 = new verb.FourPointSurface( p5, p6, p7, p8 );
udivs0 =60;
vdivs0 =60;
udivs1 = 2;
vdivs1 = 2;
}
verb.init();
var srf1, srf2;
// exampleTorusCylinderSuccess();
//exampleGlancingPlaneCylinderSuccess();
// examplePlanePlaneSuccess();
//exampleTorusCylinderSuccess2();
exampleTorusCylinderSuccess3();
//examplePlanePlaneSuccess();
//exampleNurbsSurfacePlane();
addMeshToScene( tessellate(srf1, udivs0, vdivs0), false );
addMeshToScene( tessellate(srf2, udivs1, vdivs1), false);
var tess1 = tess(srf1, udivs0, vdivs0);
var tess2 = tess(srf2, udivs1, vdivs1);
var res = verb.eval.intersect_meshes_by_aabb( tess1.points, tess1.faces,
tess1.uvs, tess2.points, tess2.faces, tess2.uvs );
var ref = verb.eval.intersect_rational_surface_surface_by_aabb_refine(srf1.get('degreeU'), srf1.get('knotsU'), srf1.get('degreeV'), srf1.get('knotsV'), srf1.homogenize(), srf2.get('degreeU'), srf2.get('knotsU'), srf2.get('degreeV'), srf2.get('knotsV'), srf2.homogenize(), 1e-6);
var runs = 1;
var d1 = Date.now();
for (var i = 0 ; i < runs; i++){
var ref = verb.eval.intersect_rational_surface_surface_by_aabb_refine(srf1.get('degreeU'), srf1.get('knotsU'), srf1.get('degreeV'), srf1.get('knotsV'), srf1.homogenize(), srf2.get('degreeU'), srf2.get('knotsU'), srf2.get('degreeV'), srf2.get('knotsV'), srf2.homogenize(), 1e-6);
}
var d2 = Date.now();
console.log("intersected in ", (d2 - d1) / runs, "ms")
for (var i = 0; i < ref.length; i++){
var homo = verb.eval.homogenize_1d( ref[i].control_points, ref[i].weights );
var res2 = verb.eval.rational_curve_adaptive_sample(ref[i].degree, ref[i].knots, homo, 1e-6 );
addLinesToScene(
pointsAsGeometry(
asVector3( res2 )));
}
render();
</script>
</body>
</html>