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<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml" xmlns:fb="http://ogp.me/ns/fb#">
<head>
<meta charset="utf-8"/>
<meta name="viewport" content="width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0">
<!--
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<title>mesh static</title>
<link rel="icon" href="images/thing_100.png" />
<meta property="og:image" content="images/thing_100.png" />
<meta name="twitter:image" content="images/thing_100.png" />
<script src="3js/three.min.js"></script>
<script src="3js/OrbitControls.js"></script>
<script src="3js/STLLoader.js"></script>
<script>
var gScene, gCamera, gRenderer, gControls;
var gParticles, gMesh, gParts2, gWires;
var gStyle = 1;
var gShowMesh = true;
var gShowParts = true;
var gWidth = 600;
var gHeight = 600;
var gNumPoints = 1000;
var gPointSize = 0.05;
var gCamHome;
function gebid(id) {
return document.getElementById(id);
}
function onLoad() {
init();
animate();
initHTML();
}
function init() {
gScene = new THREE.Scene();
gRenderer = new THREE.WebGLRenderer({antialias:true});
gRenderer.setSize(gWidth, gHeight);
gebid('webgl_container').appendChild(gRenderer.domElement);
gCamHome = new THREE.Vector3(0, 0, 5);
gCamera = new THREE.PerspectiveCamera(45, gWidth / gHeight, 0.1, 100);
gScene.add(gCamera);
home();
var light = new THREE.DirectionalLight(0x555522);
light.position.set(0, 1, .5);
gScene.add(light);
var light = new THREE.DirectionalLight(0x225555);
light.position.set(0, 0, -1);
gScene.add(light);
var light = new THREE.DirectionalLight(0x552255);
light.position.set(-1, 0, .5);
gScene.add(light);
loadGeometry("models/sphere_100.stl");
stubPoints();
gControls = new THREE.OrbitControls(gCamera, gRenderer.domElement);
// gControls.enableDamping = true;
// gControls.dampingFactor = 0.25;
// var fog = new THREE.Fog(0x0, 4, 4.5);
// gScene.fog = fog;
}
function stubPoints() {
if (gParts2 !== undefined) {
gScene.remove(gParts2);
}
gParticles = new THREE.Geometry();
gParticles.vertices = [];
for (var n = 0; n < gNumPoints; ++n) {
var particle = new THREE.Vector3(0, 0, 0);
gParticles.vertices.push(particle);
}
var pMaterial = new THREE.PointsMaterial({
color: 0xFFFFFF,
opacity: 0.5,
size: gPointSize,
map: new THREE.TextureLoader().load(
"images/dot_128.png"
),
blending: THREE.AdditiveBlending,
transparent: true,
depthWrite: false
// depthTest: false
// hm, can't get polygonOffset to work.
// polygonOffset: true,
// polygonOffsetFactor: -20,
// polygonOffsetUnits: -20
});
gParts2 = new THREE.Points(gParticles, pMaterial);
gParts2.visible = gShowParts;
gScene.add(gParts2);
}
function animate() {
requestAnimationFrame(animate);
gRenderer.render(gScene, gCamera);
gControls.update();
}
function initHTML() {
gebid("iNumPts").value = gNumPoints;
gebid("iPtSize").value = gPointSize;
}
function grabHTML() {
gNumPoints = gebid("iNumPts").value * 1;
gPointSize = gebid("iPtSize").value * 1;
if (gebid("is1").checked) {
gStyle = 1;
}
else if (gebid("is2").checked) {
gStyle = 2;
}
else {
console.error("no style selected");
gStyle = 1;
}
}
function loadGeometry(url) {
var loader = new THREE.STLLoader();
loader.load(url, function (geometry) {
if (gMesh !== undefined) {
gScene.remove(gMesh);
gScene.remove(gWires);
}
var material = new THREE.MeshLambertMaterial({
polygonOffset: true,
polygonOffsetFactor: 10, // positive value pushes polygon further away
polygonOffsetUnits: 10
});
gMesh = new THREE.Mesh(geometry, material);
gMesh.visible = gShowMesh;
gScene.add(gMesh);
var gLines = new THREE.WireframeGeometry(geometry);
var mat = new THREE.LineBasicMaterial({
color: 0x0,
linewidth: 1,
transparent: true,
opacity: 0.1,
});
gWires = new THREE.LineSegments( gLines, mat );
gMesh.add(gWires);
thinkTriangles(geometry);
doIt();
});
}
function dist(ptA, ptB) {
var dx = ptB.x - ptA.x;
var dy = ptB.y - ptA.y;
var dz = ptB.z - ptA.z;
return Math.sqrt((dx * dx) + (dy * dy) + (dz * dz));
}
var gCumulativeProbabilities;
var gUpness;
var gAreas;
var gTriangles;
function thinkTriangles(geometry) {
gTriangles = geometry;
gAreas = [];
gUpness = [];
gCumulativeProbabilities = [];
var verts = geometry.vertices;
var num = geometry.faces.length;
for (var n = 0; n < num; ++n) {
var face = geometry.faces[n];
// heron's formula for area
var ab = dist(verts[face.a], verts[face.b]);
var bc = dist(verts[face.b], verts[face.c]);
var ca = dist(verts[face.c], verts[face.a]);
var s = (ab + bc + ca) / 2;
var A = Math.sqrt(s * (s - ab) * (s - bc) * (s - ca));
var Up = upness(verts[face.a], verts[face.b], verts[face.c]);
gAreas [n] = A;
gUpness[n] = Up;
}
}
var gvUp = new THREE.Vector3(0, 1, 0);
function upness(pA, pB, pC) {
var vAB = pB.clone().sub(pA);
var vAC = pC.clone().sub(pA);
var vCross = vAB.clone().cross(vAC);
vCross.normalize();
var sDot = vCross.dot(gvUp);
var sUp = sDot > 0 ? sDot : 0;
return sUp;
}
function computeProbabilities() {
var cp = 0;
if (gStyle == 1) {
for (var n = 0; n < gAreas.length; ++n) {
cp += gAreas[n]
gCumulativeProbabilities[n] = cp;
}
}
else if (gStyle == 2) {
for (var n = 0; n < gAreas.length; ++n) {
cp += gAreas[n] * gUpness[n];
gCumulativeProbabilities[n] = cp;
}
}
else {
console.error("wtf1");
}
}
function chooseTriangle() {
var totalArea = gCumulativeProbabilities[gCumulativeProbabilities.length - 1];
var r = Math.random() * totalArea;
var chosen = gCumulativeProbabilities.length - 1;
for (var n = 0; n <= chosen; ++n) {
if (gCumulativeProbabilities[n] > r) {
chosen = n;
break;
}
}
return chosen;
}
function choosePoint(ptA, ptB, ptC) {
// normalized distance along basis vectors.
var nAB = Math.random();
var nAC = Math.random();
// if the normalized coordinates are outside the triangle (0, 0), (1, 0), (0, 1),
// then the point will be outside our real triangle,
// so reflect it back inside the region.
if ((nAB + nAC) > 1) {
nAB = 1 - nAB;
nAC = 1 - nAC;
}
// vAB and vAC form a basis vector for the space.
var vAB = ptB.clone().sub(ptA);
var vAC = ptC.clone().sub(ptA);
vAB.multiplyScalar(nAB);
vAC.multiplyScalar(nAC);
var ret = ptA.clone();
ret.add(vAB);
ret.add(vAC);
return ret;
}
function doIt() {
var stubIt = false;
stubIt = stubIt || (gNumPoints != gParticles.vertices.length);
stubIt = stubIt || (Math.abs(gPointSize - gParts2.material.size) > 0.001);
if (stubIt) {
stubPoints();
}
computeProbabilities();
var verts = gTriangles.vertices;
for (n = 0; n < gNumPoints; ++n) {
var triIndex = chooseTriangle();
var face = gTriangles.faces[triIndex];
gParticles.vertices[n] = choosePoint(verts[face.a], verts[face.b], verts[face.c]);
}
gParticles.verticesNeedUpdate = true;
}
function onClickNew() {
grabHTML();
doIt();
}
function onClickShowModel(checkbox) {
gShowMesh = checkbox.checked;
gMesh.visible = gShowMesh;
}
function onClickShowPoints(checkbox) {
gShowParts = checkbox.checked;
gParts2.visible = gShowParts;
}
function onClickDump() {
var verts = gParticles.vertices;
var delim = "";
var s = "";
s += "[\n";
for (var n = 0; n < verts.length; ++n) {
s += delim;
s += " [";
s += verts[n].x.toFixed(4);
s += ", ";
s += verts[n].y.toFixed(4);
s += ", ";
s += verts[n].z.toFixed(4);
s += "]";
delim = ",\n";
}
s += "\n]\n";
gebid("pointDump").innerHTML = s;
}
function home() {
gCamera.position.set(gCamHome.x, gCamHome.y, gCamHome.z);
}
</script>
</head>
<style>
body {
font-family: Courier New, monospace;
background-color: DarkSlateGray;
color:MistyRose;
}
canvas {
border: 1px solid #bbb;
}
#webgl_container {
display:inline-block;
}
.geoBtn {
width:100px;
}
.blahblah {
font-size: small;
}
#regen {
background-color:limegreen;
}
#pointDump {
border:1px dashed gray;
}
.radItem {
// border:1px dashed grey;
display:inline-block;
padding:3px;
}
</style>
<body onload="onLoad()">
<p class="blahblah">
an experiment around distributing points randomly on the surface of a (triangle) mesh.
</p>
<table>
<tr valign="top">
<td>
<div id="webgl_container" width=600px height=600px></div>
</td>
<td>
<button class="geoBtn" onClick="loadGeometry('models/triangle.stl')">triangle</button>
<button class="geoBtn" onClick="loadGeometry('models/box_100.stl')">cube</button>
<button class="geoBtn" onClick="loadGeometry('models/sphere_100.stl')">sphere</button>
<button class="geoBtn" onClick="loadGeometry('models/reef_110.stl')">manifold1</button>
<button class="geoBtn" onClick="loadGeometry('models/reef_100.stl')">manifold2</button>
<button class="geoBtn" onClick="loadGeometry('models/donut_100.stl')">donut</button>
<hr/>
<button class="geoBtn" onClick="home()">home</button>
<hr/>
<table width='100%'>
<tr>
<td>
Model:
<input type='checkbox' onClick="onClickShowModel(this)" checked="checked"/>
</td>
<td>
Points:
<input type='checkbox' onClick="onClickShowPoints(this)" checked="checked"/>
</td>
</tr>
<tr>
<td>
Num Points:
<input id="iNumPts" width="50px"/>
</td>
<td>
Point Size:
<input id="iPtSize" width="50px"/>
</td>
</tr>
</td>
</td>
</tr></table><hr/>
<button id="regen" onClick="onClickNew()">regenerate points</button>
<br>
<div class="radItem"><input type="radio" id="is1" name="style" checked>everywhere</div>
<div class="radItem"><input type="radio" id="is2" name="style" >upward sides</div>
<!--<div class="radItem"><input type="radio" name="style" value="rain">rain</div>-->
<hr/>
<button onClick="onClickDump()">dump points as json</button>
<pre id="pointDump"> </pre>
</body>
</html>