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hex_marchingcubes.html
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<!DOCTYPE html><html lang="en"><head><meta charset="UTF-8" />
<meta name="viewport" content="width=device-width, initial-scale=1.0" />
<title></title></head><body>
<script type="module">
// #region IMPORTS
import Starter, { THREE } from './lib/starter.js';
import Util from './lib/Util.js';
import DynLineMesh from './lib/DynLineMesh.js';
import ShapePointsMesh from './lib/ShapePointsMesh.js';
import IrregularHexGrid from './grid/IrregularHexGrid.js';
import { UtilGltf2, Gltf2 } from './lib/UtilGltf2.js';
import { Ray, Bvh, nearPoint, from3JSScreenProjection }
from './bvh/index.js';
import MarchingCubes from './mc/MarchingCubes.js';
import TileDictionary from './mc/TileDictionary.js';
import { vec3_distance, vec3_add, vec3_scale, vec3_sub } from './lib/Maths.js';
import op_GetVertFaces from './halfedge/ops/op_GetVertFaces.js';
import op_FaceCentroid from './halfedge/ops/op_FaceCentroid.js';
import op_FacePoints from './halfedge/ops/op_FacePoints.js';
import op_FaceVertices from './halfedge/ops/op_FaceVertices.js';
import TrilinearLattice from './trilinear/TrilinearLattice.js';
import TrilinearLatticeMaterial from './trilinear/TrilinearLatticeMaterial.js';
// #endregion
// #region MAIN
let App;
let Debug = {};
let Ref = {};
window.addEventListener( "load", async _=>{
App = new Starter( { webgl2:true, grid:true } );
App.setCamera( 0, 40, 12, [0,0.0,0] );
App.add( ( Debug.ln = new DynLineMesh() ) );
App.add( ( Debug.pnt = new ShapePointsMesh().disableDepth() ) );
App.add( ( Debug.grid = new DynLineMesh() ) );
Debug.grid.position.y = 0.005;
Debug.pnt.position.y = 0.005;
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// SIMPLE GRID FOR TESTING
const grid = IrregularHexGrid.build( 5, 3, 50, 0.4, 110, 0 );
const irGrid = new IRGrid().fromTopology( grid, 1, 3 );
// Initialize all the cells with some userData
irGrid.cells.forEach( (v,i,ary)=>{ ary[i].userData = { bitValue:0, mesh:null }; });
debugFaces( grid );
debugMesh( grid );
Ref.irGrid = irGrid;
//irGrid.togglePointByIdx( 0 );
//irGrid.togglePointByIdx( 5 );
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// Setup what we need to do ray intersection on Grid Points
const bvh = new Bvh();
bvh.maxItemsPerNode = 20;
bvh.getItemPosition = ( data, idx )=>{ return data[ idx ].pos; };
bvh.setData( irGrid.points );
Ref.bvh = bvh;
// debugBVH();
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
const gltf = await Gltf2.fetch( './res/mc_tiles.gltf' );
Ref.dic = new TileDictionary();
tileLoading( gltf, Ref.dic );
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// MAKE CUBE TILE FIT IRREGULAR GRID CELL
const lattice = new TrilinearLattice();
lattice.setBounds( [-1,-1,-1], [1,1,1] );
Ref.lattice = lattice;
Ref.latticeDefCube = lattice.cube.slice( 0 );
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
rebuild();
App.render();
});
//#endregion
// #region DEBUG
function setRadius( grid, radius ){
for( let v of grid.vertices ) vec3_norm_scale( v.pos, v.pos, radius );
}
function debugVertices( grid ){
for( const e of grid.vertices ) Debug.pnt.add( e.pos, 0x00ff00, 2 );
}
function debugEdges( grid ){
for( const e of grid.iterEdges() ) Debug.ln.add( e.a, e.b, 0x707070 );
}
function debugFaces( grid ){
for( const f of grid.faces ){
let edg = grid.halfEdges[ f.halfEdges[0] ];
let len = f.halfEdges.length;
for( let i=1; i <= len; i++ ){
let ii = i % len;
let nex = grid.halfEdges[ f.halfEdges[ ii ] ];
Debug.grid.add( grid.getVertPos( edg.vertex ), grid.getVertPos( nex.vertex ), 0x707070 );
edg = nex;
}
}
}
function debugMesh( grid ){
const verts = grid.flattenVertices();
const ind = grid.flattenIndices();
const mesh = toMesh( verts, ind );
mesh.position.y = 0.001;
App.add( mesh );
}
function toMesh( verts, idx ){
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
const bGeo = new THREE.BufferGeometry();
bGeo.setAttribute( "position", new THREE.BufferAttribute( new Float32Array( verts ), 3 ) );
if( idx && idx.length > 0 ) bGeo.setIndex( idx );
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
const mat = new THREE.MeshPhongMaterial( { color:0x009999 } ); // ,side:THREE.DoubleSide
const mesh = new THREE.Mesh( bGeo, mat );
return mesh;
}
function debugLattice( lattice ){
for( let v of lattice.iterPoints() ){
Debug.pnt.add( v, 0xffff00, 4 );
}
}
function debugFaceOrder( grid, fIdx ){
const color = [ 0xF7716A, 0x81D773, 0x6DA9EA, 0xffffff, 0x00ff00, 0x00ffff, 0xffff00 ];
const pnts = op_FacePoints( grid, fIdx );
for( let i=0; i < pnts.length; i++ ){
Debug.pnt.add( pnts[i], color[i], 10 );
}
}
function debugCell( cell ){
//const color = [ 0xF7716A, 0x81D773, 0x6DA9EA, 0xffffff, 0x00ff00, 0x00ffff, 0xffff00, 0xff0000 ];
const color = [ 0xffffff, 0xF7716A, 0x81D773, 0x6DA9EA, 0xffffff, 0xF7716A, 0x81D773, 0x6DA9EA ];
for( let i=0; i < cell.points.length; i++ ){
Debug.pnt.add( cell.points[i].pos, color[i], 6 );
}
}
function debugBVH(){
const bvh = Ref.bvh;
const color = [ 0x81D773, 0x6DA9EA, 0xF7716A, 0x00ff00, 0x00ffff, 0xffff00 ];
let n, c = 0;
for( let i=0; i < bvh.nodes.length; i++ ){
n = bvh.nodes[ i ];
if( n.isLeaf ){
Debug.ln.box( n.minBound, n.maxBound, color[c] );
for( let i=0; i < n.sliceLength; i++ ){
Debug.pnt.add( bvh.getItemPosition( bvh.data, bvh.partitioned[ i+n.sliceIndex ] ), color[c], 2 );
}
c++;
}else{
Debug.ln.box( n.minBound, n.maxBound, 0x707070 );
}
}
}
// #endregion
// #region BVH INTERSECTION
window.addEventListener( "pointerdown", e=>{
if( e.button != 2 ) return;
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// Compute the Ray and visually draw a line
const ray = from3JSScreenProjection( new Ray(), e.layerX, e.layerY, App );
ray.forAABB();
//Debug.ln.add( ray.posStart, ray.posEnd, 0x00ffff );
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Ref.bvh.rayIntersect( ray, onIntersect );
} );
function onIntersect( ray, slice ){
const RNG = 0.2;
let min = Infinity;
let iMin = -1;
let t;
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
for( let i of slice ){
// Loop all the points in the slice & test which
// one is the closest to the ray
t = nearPoint( ray, Ref.bvh.data[ i ].pos, RNG );
if( t !== null && t < min ){
min = t;
iMin = i;
}
}
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// Point interesected
if( iMin != -1 ){
Ref.irGrid.togglePointByIdx( iMin ); // Toggle it's state
rebuild(); // Rebuild Mesh
return true;
}
return false;
}
// #endregion
// #region BUILDING / RENDERING
function tileLoading( gltf, dic ){
const mCnt = gltf.json.meshes.length;
let m, geo, bits;
for( let i=0; i < mCnt; i++ ){
if( !gltf.json.meshes[ i ].name.startsWith( 'cliff' ) ) continue;
m = gltf.getMesh( i );
geo = UtilGltf2.primitiveGeo( m.primitives[ 0 ] );
bits = TileDictionary.parseBits( m.name );
dic.addUniqueTile( m.name, bits, geo );
}
}
function rebuild(){
Debug.ln.reset();
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
let bValue;
let tiles, tile, uTile;
let pos = [0,0,0];
for( let cell of Ref.irGrid.cells ){
// ------------------------------------
// If cell value hasn't changed, then skip
bValue = cell.getBitValue();
if( cell.userData.bitValue === bValue ) continue;
cell.userData.bitValue = bValue;
// ------------------------------------
// If setting empty space, then hide mesh
if( bValue === 0 || bValue === 255 ){
if( cell.userData.mesh ) cell.userData.mesh.visible = false;
continue;
}
// ------------------------------------
// If tile doesn't exist, then hide any mesh with an error message.
tiles = Ref.dic.tiles[ bValue ];
if( !tiles ){
console.log( 'no tiles found for: ', bValue );
if( cell.userData.mesh ) cell.userData.mesh.visible = false;
renderCellframe( cell );
continue;
}
// ------------------------------------
// Generate mesh tile or replace geometry
tile = tiles[ 0 ];
uTile = Ref.dic.uniqueTiles[ tile.tileId ];
if( cell.userData.mesh ){
cell.userData.mesh.geometry = uTile.geo;
}else{
cell.userData.mat = new TrilinearLatticeMaterial();
cell.userData.mat.userData.minBound = Ref.lattice.minBound;
cell.userData.mat.userData.maxBound = Ref.lattice.maxBound;
cell.userData.mat.userData.cube = Ref.latticeDefCube;
cell.userData.mesh = new THREE.Mesh( uTile.geo, cell.userData.mat );
cell.userData.mesh.position.fromArray( cell.pos );
App.add( cell.userData.mesh );
}
cell.userData.mesh.visible = true;
cell.userData.mat.userData.setQuat( tile.rotation );
Ref.lattice.fromMarchingCube( cell.localPoints );
cell.userData.mat.userData.setCube( Ref.lattice.cube.slice( 0 ) );
//debugCell( cell );
//debugLattice( Ref.lattice );
}
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
renderPoints();
}
function renderPoints(){
Debug.pnt.reset();
for( let p of Ref.irGrid.points ){
Debug.pnt.add( p.pos, (!p.enabled)?0x707070:0x00ff00, 3 );
}
}
function renderCellframe( cell ){
const p = cell.points;
const col = 0xff0000;
Debug.ln.add( p[0].pos, p[1].pos, col );
Debug.ln.add( p[1].pos, p[2].pos, col );
Debug.ln.add( p[2].pos, p[3].pos, col );
Debug.ln.add( p[3].pos, p[0].pos, col );
Debug.ln.add( p[4].pos, p[5].pos, col );
Debug.ln.add( p[5].pos, p[6].pos, col );
Debug.ln.add( p[6].pos, p[7].pos, col );
Debug.ln.add( p[7].pos, p[4].pos, col );
Debug.ln.add( p[0].pos, p[4].pos, col );
Debug.ln.add( p[1].pos, p[5].pos, col );
Debug.ln.add( p[2].pos, p[6].pos, col );
Debug.ln.add( p[3].pos, p[7].pos, col );
}
// #endregion
// #region Marching Cubes for Irregular Grid
class Point{
constructor( idx, vIdx, pos ){
this.idx = idx;
this.vertIdx = vIdx;
this.pos = pos;
this.enabled = false;
}
}
class Cell{
constructor( idx, fIdx, pos ){
this.idx = idx;
this.faceIdx = fIdx; // Ref back to HalfEdge Face
this.pos = pos; // Cell Centroid
this.points = null; // 8 Corners, Needed to compute Bit Value
this.localPoints = null; // Local space with centroid as origin, needed for lattice transformation
this.userData = {};
}
setPoints( ary ){
this.points = ary;
this.localPoints = [];
for( let p of this.points ){
this.localPoints.push( vec3_sub( [0,0,0], p.pos, this.pos ) );
}
}
getBitValue(){
let i = 0;
let rtn = 0;
for( let p of this.points ){
if( p.enabled ) rtn += MarchingCubes.cornerBit[ i ];
i++;
}
return rtn;
}
// getCubePositions(){
// return [
// this.points[0].pos,
// this.points[1].pos,
// this.points[2].pos,
// this.points[3].pos,
// this.points[4].pos,
// this.points[5].pos,
// this.points[6].pos,
// this.points[7].pos,
// ];
// }
}
class IRGrid{
cells = [];
points = [];
topology = null;
constructor(){}
fromTopology( top, hStep=1.0, cellCnt=3 ){
let idx = 0;
this.topology = top;
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// Build Points
let o, p, i, pnt;
for( o of top.vertices ){
o.userData = [];
for( i=0; i <= cellCnt; i++ ){
p = o.pos.slice( 0 ); // Clone position
p[ 1 ] += i * hStep; // Compute new height position
pnt = new Point( idx++, o.idx, p ); // Create Point
this.points.push( pnt ); // Main Save
o.userData.push( pnt ); // Temp Save to reference in cell creation
}
}
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// Build Cellslet
const halfStep = hStep * 0.5;
let cell, pnts, center=[0,0,0];
idx = 0;
for( o of top.faces ){
// Get all vertices of the face
pnts = op_FaceVertices( top, o.idx );
// Compute centroid of face
vec3_add( center, pnts[0].pos, pnts[1].pos );
vec3_add( center, center, pnts[2].pos );
vec3_add( center, center, pnts[3].pos );
vec3_scale( center, center, 0.25 );
// Build the grid
for( i=0; i < cellCnt; i++ ){
pnt = center.slice( 0 );
pnt[ 1 ] += halfStep + i * hStep;
cell = new Cell( idx++, o.idx, pnt );
// Point are in CCW, for MC need to order then in CW order
cell.setPoints([
pnts[ 0 ].userData[ i ], // Bottom face
pnts[ 3 ].userData[ i ],
pnts[ 2 ].userData[ i ],
pnts[ 1 ].userData[ i ],
pnts[ 0 ].userData[ i+1 ], // Top Face
pnts[ 3 ].userData[ i+1 ],
pnts[ 2 ].userData[ i+1 ],
pnts[ 1 ].userData[ i+1 ],
]);
this.cells.push( cell );
// Debug.pnt.add( pnt, 0x00ff00, 4 );
// for( pnt of cell.points ) Debug.pnt.add( pnt.pos, 0x00ffff, 3 );
}
}
// ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
// Cleanup
for( o of top.vertices ) o.userData = null;
// for( pnt of this.points ){
// Debug.pnt.add( pnt.pos, 0x00ffff, 2 );
// }
return this;
}
togglePointByIdx( idx ){
this.points[ idx ].enabled = !this.points[ idx ].enabled;
return this;
}
}
// #endregion
</script>
<div style="position:fixed; top:0px; left:0px; padding:5px; background-color:#ffffff20">
Right click to select or deselect a point on the grid.
</div>
</body></html>