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correct wall geometry normals/tangents/binormals #909

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Jun 28, 2013
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132 changes: 89 additions & 43 deletions Source/Core/WallGeometry.js
Original file line number Diff line number Diff line change
Expand Up @@ -10,6 +10,7 @@ define([
'./Ellipsoid',
'./EllipsoidTangentPlane',
'./GeometryAttribute',
'./Math',
'./PolylinePipeline',
'./PolygonPipeline',
'./PrimitiveType',
Expand All @@ -26,6 +27,7 @@ define([
Ellipsoid,
EllipsoidTangentPlane,
GeometryAttribute,
CesiumMath,
PolylinePipeline,
PolygonPipeline,
PrimitiveType,
Expand All @@ -36,6 +38,7 @@ define([
var scratchCartographic = new Cartographic();
var scratchCartesian3Position1 = new Cartesian3();
var scratchCartesian3Position2 = new Cartesian3();
var scratchCartesian3Position3 = new Cartesian3();
var scratchBinormal = new Cartesian3();
var scratchTangent = new Cartesian3();
var scratchNormal = new Cartesian3();
Expand Down Expand Up @@ -80,7 +83,7 @@ define([
var wallPositions = options.positions;
var terrain = options.terrain;
var top = options.top;
var bottom = options.bottom;
var bottom = defaultValue(options.bottom, 0);
var ellipsoid = defaultValue(options.ellipsoid, Ellipsoid.WGS84);
var vertexFormat = defaultValue(options.vertexFormat, VertexFormat.DEFAULT);

Expand All @@ -102,15 +105,23 @@ define([
wallPositions.reverse();
}
}

var i;
var size = wallPositions.length * 2;
var flatPositions = [];
var length = wallPositions.length;
for (i = 0; i < length - 1; i++) {
var p1 = wallPositions[i];
var p2 = wallPositions[i+1];
flatPositions.push(p1.x, p1.y, p1.z);
flatPositions.push(p2.x, p2.y, p2.z);
}

var size = flatPositions.length * 2;

var positions = vertexFormat.position ? new Float64Array(size * 3) : undefined;
var normals = vertexFormat.normal ? new Float32Array(size * 3) : undefined;
var tangents = vertexFormat.tangent ? new Float32Array(size * 3) : undefined;
var binormals = vertexFormat.binormal ? new Float32Array(size * 3) : undefined;
var textureCoordinates = vertexFormat.st ? new Float32Array(size * 2) : undefined;
var positions = vertexFormat.position ? new Float64Array(size) : undefined;
var normals = vertexFormat.normal ? new Float32Array(size) : undefined;
var tangents = vertexFormat.tangent ? new Float32Array(size) : undefined;
var binormals = vertexFormat.binormal ? new Float32Array(size) : undefined;
var textureCoordinates = vertexFormat.st ? new Float32Array(size / 3 * 2) : undefined;

var positionIndex = 0;
var normalIndex = 0;
Expand All @@ -120,31 +131,35 @@ define([

// add lower and upper points one after the other, lower
// points being even and upper points being odd
var length = wallPositions.length;
for (i = 0; i < length; ++i) {
var c = ellipsoid.cartesianToCartographic(wallPositions[i], scratchCartographic);
length = flatPositions.length;
var normal = scratchNormal;
var tangent = scratchTangent;
var binormal = scratchBinormal;
var recomputeNormal = true;
for (i = 0; i < length; i += 3) {
var pos = Cartesian3.fromArray(flatPositions, i, scratchCartesian3Position1);
var c = ellipsoid.cartesianToCartographic(pos, scratchCartographic);
var origHeight = c.height;
c.height = 0.0;

var terrainHeight = 0.0;
if (terrain !== undefined) {
var h = terrain[i].height;
var h = terrain[i/3].height;
if (!isNaN(h)) {
terrainHeight = h;
}
}

if (bottom !== undefined) {
c.height = bottom;
} else {
c.height += terrainHeight;
}

c.height = bottom + terrainHeight;
var bottomPosition = ellipsoid.cartographicToCartesian(c, scratchCartesian3Position1);

// get the original height back, or set the top value
c.height = (top === undefined) ? origHeight : top;
c.height += terrainHeight;
if (typeof top !== 'undefined') {
c.height = top + terrain.height;
} else {
c.height = origHeight + terrainHeight;
}

var topPosition = ellipsoid.cartographicToCartesian(c, scratchCartesian3Position2);

if (vertexFormat.position) {
Expand All @@ -160,29 +175,53 @@ define([
}

if (vertexFormat.normal || vertexFormat.tangent || vertexFormat.binormal) {
var fromPrevious = (i === 0) ? Cartesian3.ZERO : Cartesian3.subtract(wallPositions[i], wallPositions[i - 1], scratchCartesian3Position1);
var toNext = (i === length - 1) ? Cartesian3.ZERO : Cartesian3.subtract(wallPositions[i + 1], wallPositions[i], scratchCartesian3Position2);
var nextPosition;
if (i+3 < length) {
nextPosition = Cartesian3.fromArray(flatPositions, i+3, scratchCartesian3Position3);
}

if (recomputeNormal) {
nextPosition = nextPosition.subtract(topPosition, nextPosition);
bottomPosition = bottomPosition.subtract(topPosition, bottomPosition);
normal = Cartesian3.cross(bottomPosition, nextPosition, normal).normalize(normal);
if (vertexFormat.tangent) {
tangent = nextPosition.normalize(tangent);
}
if (vertexFormat.binormal) {
binormal = Cartesian3.cross(normal, tangent, binormal).normalize(binormal);
}
recomputeNormal = false;
}

var tangent = Cartesian3.add(fromPrevious, toNext, scratchTangent);
var binormal = Cartesian3.subtract(topPosition, bottomPosition, scratchBinormal);
if (topPosition.equalsEpsilon(nextPosition, CesiumMath.EPSILON4)) { // if we've reached a corner
recomputeNormal = true;
}

if (vertexFormat.normal) {
var normal = Cartesian3.cross(tangent, binormal, scratchNormal);
Cartesian3.normalize(normal, normal);
normals[normalIndex++] = normal.x;
normals[normalIndex++] = normal.y;
normals[normalIndex++] = normal.z;

normals[normalIndex++] = normal.x;
normals[normalIndex++] = normal.y;
normals[normalIndex++] = normal.z;
}

if (vertexFormat.tangent) {
Cartesian3.normalize(tangent, tangent);
tangents[tangentIndex++] = tangent.x;
tangents[tangentIndex++] = tangent.y;
tangents[tangentIndex++] = tangent.z;

tangents[tangentIndex++] = tangent.x;
tangents[tangentIndex++] = tangent.y;
tangents[tangentIndex++] = tangent.z;
}

if (vertexFormat.binormal) {
Cartesian3.normalize(binormal, binormal);
binormals[binormalIndex++] = binormal.x;
binormals[binormalIndex++] = binormal.y;
binormals[binormalIndex++] = binormal.z;

binormals[binormalIndex++] = binormal.x;
binormals[binormalIndex++] = binormal.y;
binormals[binormalIndex++] = binormal.z;
Expand Down Expand Up @@ -257,21 +296,28 @@ define([
// C (i) D (i+2) F
//

length = size;
size -= 2;
var indices = IndexDatatype.createTypedArray(length, size * 3);

var j = 0;
for (i = 0; i < size; i += 2) {
// first do A C B
indices[j++] = i + 1;
indices[j++] = i;
indices[j++] = i + 3;

// now do B C D
indices[j++] = i + 3;
indices[j++] = i;
indices[j++] = i + 2;
var numVertices = size/3;
size -= 6;
var indices = IndexDatatype.createTypedArray(numVertices, size);

var edgeIndex = 0;
for (i = 0; i < numVertices - 2; i += 2) {
var LL = i;
var LR = i + 2;
var pl = Cartesian3.fromArray(positions, LL*3, scratchCartesian3Position1);
var pr = Cartesian3.fromArray(positions, LR*3, scratchCartesian3Position2);
if (Cartesian3.equalsEpsilon(pl, pr, CesiumMath.EPSILON6)) {
continue;
}
var UL = i + 1;
var UR = i + 3;

indices[edgeIndex++] = UL;
indices[edgeIndex++] = LL;
indices[edgeIndex++] = UR;
indices[edgeIndex++] = UR;
indices[edgeIndex++] = LL;
indices[edgeIndex++] = LR;
}

/**
Expand Down
12 changes: 6 additions & 6 deletions Specs/Core/WallGeometrySpec.js
Original file line number Diff line number Diff line change
Expand Up @@ -78,12 +78,12 @@ defineSuite([
positions : ellipsoid.cartographicArrayToCartesianArray(coords)
});

expect(w.attributes.position.values.length).toEqual(3 * 2 * 3);
expect(w.attributes.normal.values.length).toEqual(3 * 2 * 3);
expect(w.attributes.tangent.values.length).toEqual(3 * 2 * 3);
expect(w.attributes.binormal.values.length).toEqual(3 * 2 * 3);
expect(w.attributes.st.values.length).toEqual(3 * 2 * 2);
expect(w.indices.length).toEqual((3 * 2 - 2) * 3);
expect(w.attributes.position.values.length).toEqual(4 * 2 * 3);
expect(w.attributes.normal.values.length).toEqual(4 * 2 * 3);
expect(w.attributes.tangent.values.length).toEqual(4 * 2 * 3);
expect(w.attributes.binormal.values.length).toEqual(4 * 2 * 3);
expect(w.attributes.st.values.length).toEqual(4 * 2 * 2);
expect(w.indices.length).toEqual((4 * 2 - 2) * 3);
});
});