use different BVH implementation

This commit is contained in:
RandomityGuy 2022-12-18 23:09:28 +05:30
parent 92ec04a5b9
commit a1e67dd7e9
2 changed files with 338 additions and 161 deletions

View file

@ -1,183 +1,360 @@
package collision;
import h3d.col.Bounds;
import h3d.Vector;
// https://github.com/Sopiro/DynamicBVH/blob/master/src/aabbtree.ts
import h3d.col.Bounds;
@:publicFields
class BVHNode {
var id:Int;
var parent:BVHNode;
var child1:BVHNode;
var child2:BVHNode;
var isLeaf:Bool;
var bounds:Bounds;
var objects:Array<CollisionSurface>;
var objectBounds:Bounds; // total bounds for objects stored in THIS node
var left:BVHNode;
var right:BVHNode;
var surfaceArea:Float;
var surface:CollisionSurface;
public function new(bounds:Bounds) {
this.bounds = bounds.clone();
surfaceArea = this.bounds.xSize * this.bounds.ySize + this.bounds.xSize * this.bounds.zSize + this.bounds.ySize * this.bounds.zSize;
}
function getSplitCost(objs:Array<{obj:CollisionSurface, centroid:h3d.col.Point}>, axis:Int) {
// Pick best axis to split
switch (axis) {
case 0:
objs.sort((x, y) -> x.centroid.x > y.centroid.x ? 1 : -1);
case 1:
objs.sort((x, y) -> x.centroid.y > y.centroid.y ? 1 : -1);
case 2:
objs.sort((x, y) -> x.centroid.z > y.centroid.z ? 1 : -1);
};
var leftObjects = objs.slice(0, Math.ceil(objs.length / 2));
var rightObjects = objs.slice(Math.ceil(objs.length / 2));
var leftAABB = new Bounds();
var rightAABB = new Bounds();
for (o in leftObjects)
leftAABB.add(o.obj.boundingBox);
for (o in rightObjects)
rightAABB.add(o.obj.boundingBox);
var leftSA = leftAABB.xSize * leftAABB.ySize + leftAABB.xSize * leftAABB.zSize + leftAABB.ySize * leftAABB.zSize;
var rightSA = rightAABB.xSize * rightAABB.ySize + rightAABB.xSize * rightAABB.zSize + rightAABB.ySize * rightAABB.zSize;
var splitCost = leftSA + rightSA;
var bestSplit = {
cost: splitCost,
left: leftObjects,
right: rightObjects,
leftBounds: leftAABB,
rightBounds: rightAABB,
axis: axis
};
return bestSplit;
}
public function split() {
// Splitting first time
// Calculate the centroids of all objects
var objs = objects.map(x -> {
x.generateBoundingBox();
return {obj: x, centroid: x.boundingBox.getCenter()};
});
// Find the best split cost
var costs = [getSplitCost(objs, 0), getSplitCost(objs, 1), getSplitCost(objs, 2)];
costs.sort((x, y) -> x.cost > y.cost ? 1 : -1);
var bestSplit = costs[0];
// Sort the objects according to where they should go
var leftObjs = [];
var rightObjs = [];
var intersectObjs = [];
for (o in bestSplit.left.concat(bestSplit.right)) {
var inleft = bestSplit.leftBounds.containsBounds(o.obj.boundingBox);
var inright = bestSplit.rightBounds.containsBounds(o.obj.boundingBox);
if (inleft && inright) {
intersectObjs.push(o.obj);
} else if (inleft) {
leftObjs.push(o.obj);
} else if (inright) {
rightObjs.push(o.obj);
}
}
// Only one side has objects, egh
if (leftObjs.length == 0 || rightObjs.length == 0) {
var thisobjs = leftObjs.concat(rightObjs).concat(intersectObjs);
this.objects = thisobjs;
this.objectBounds = new Bounds();
for (o in thisobjs)
this.objectBounds.add(o.boundingBox);
return;
}
// Make the child nodes
var leftBounds = new Bounds();
var rightBounds = new Bounds();
for (o in leftObjs)
leftBounds.add(o.boundingBox);
for (o in rightObjs)
rightBounds.add(o.boundingBox);
left = new BVHNode(leftBounds);
right = new BVHNode(rightBounds);
left.objects = leftObjs;
right.objects = rightObjs;
this.objects = intersectObjs;
this.objectBounds = new Bounds();
for (o in intersectObjs)
this.objectBounds.add(o.boundingBox);
left.split();
right.split();
}
public function boundingSearch(searchbox:Bounds) {
if (this.bounds.containsBounds(searchbox) || this.bounds.collide(searchbox)) {
var intersects = [];
if (this.left != null && this.right != null) {
intersects = intersects.concat(this.left.boundingSearch(searchbox));
intersects = intersects.concat(this.right.boundingSearch(searchbox));
}
if (this.objectBounds.collide(searchbox) || this.objectBounds.containsBounds(searchbox)) {
for (o in this.objects) {
if (o.boundingBox.containsBounds(searchbox) || o.boundingBox.collide(searchbox))
intersects.push(o);
}
}
return intersects;
} else {
return [];
}
}
public function rayCast(origin:Vector, direction:Vector) {
var ray = h3d.col.Ray.fromValues(origin.x, origin.y, origin.z, direction.x, direction.y, direction.z);
if (ray.collide(this.bounds)) {
var intersects = [];
if (this.left != null && this.right != null) {
intersects = intersects.concat(this.left.rayCast(origin, direction));
intersects = intersects.concat(this.right.rayCast(origin, direction));
}
if (ray.collide(this.objectBounds)) {
for (o in this.objects) {
if (ray.collide(o.boundingBox))
intersects = intersects.concat(o.rayCast(origin, direction));
}
}
return intersects;
} else {
return [];
}
}
public function new() {}
}
class BVHTree {
public var bounds:Bounds;
var surfaces:Array<CollisionSurface> = [];
var nodeId:Int = 0;
var root:BVHNode;
public function new(bounds:Bounds) {
this.bounds = bounds.clone();
public function new() {}
function update() {
var invalidNodes = [];
this.traverse(node -> {
if (node.isLeaf) {
var entity = node.surface;
var tightAABB = entity.boundingBox;
if (node.bounds.containsBounds(tightAABB)) {
return;
}
invalidNodes.push(node);
}
});
for (node in invalidNodes) {
this.remove(node);
this.add(node.surface);
}
}
public function insert(surf:CollisionSurface) {
surfaces.push(surf);
public function add(entity:CollisionSurface) {
// Enlarged AABB
var aabb = entity.boundingBox;
var newNode = new BVHNode();
newNode.id = this.nodeId++;
newNode.bounds = aabb;
newNode.surface = entity;
newNode.isLeaf = true;
if (this.root == null) {
this.root = newNode;
return newNode;
}
// Find the best sibling for the new leaf
var bestSibling = this.root;
var bestCostBox = this.root.bounds.clone();
bestCostBox.add(aabb);
var bestCost = bestCostBox.xSize * bestCostBox.ySize + bestCostBox.xSize * bestCostBox.zSize + bestCostBox.ySize * bestCostBox.zSize;
var q = [{p1: this.root, p2: 0.0}];
while (q.length != 0) {
var front = q.shift();
var current = front.p1;
var inheritedCost = front.p2;
var combined = current.bounds.clone();
combined.add(aabb);
var directCost = combined.xSize * combined.ySize + combined.xSize * combined.zSize + combined.ySize * combined.zSize;
var costForCurrent = directCost + inheritedCost;
if (costForCurrent < bestCost) {
bestCost = costForCurrent;
bestSibling = current;
}
inheritedCost += directCost
- (current.bounds.xSize * current.bounds.ySize + current.bounds.xSize * current.bounds.zSize + current.bounds.ySize * current.bounds.zSize);
var aabbCost = aabb.xSize * aabb.ySize + aabb.xSize * aabb.zSize + aabb.ySize * aabb.zSize;
var lowerBoundCost = aabbCost + inheritedCost;
if (lowerBoundCost < bestCost) {
if (!current.isLeaf) {
if (current.child1 != null)
q.push({p1: current.child1, p2: inheritedCost});
if (current.child2 != null)
q.push({p1: current.child2, p2: inheritedCost});
}
}
}
// Create a new parent
var oldParent = bestSibling.parent;
var newParent = new BVHNode();
newParent.id = this.nodeId++;
newParent.parent = oldParent;
newParent.bounds = bestSibling.bounds.clone();
newParent.bounds.add(aabb);
newParent.isLeaf = false;
if (oldParent != null) {
if (oldParent.child1 == bestSibling) {
oldParent.child1 = newParent;
} else {
oldParent.child2 = newParent;
}
newParent.child1 = bestSibling;
newParent.child2 = newNode;
bestSibling.parent = newParent;
newNode.parent = newParent;
} else {
newParent.child1 = bestSibling;
newParent.child2 = newNode;
bestSibling.parent = newParent;
newNode.parent = newParent;
this.root = newParent;
}
// Walk back up the tree refitting ancestors' AABB and applying rotations
var ancestor = newNode.parent;
while (ancestor != null) {
var child1 = ancestor.child1;
var child2 = ancestor.child2;
ancestor.bounds = new Bounds();
if (child1 != null)
ancestor.bounds.add(child1.bounds);
if (child2 != null)
ancestor.bounds.add(child2.bounds);
this.rotate(ancestor);
ancestor = ancestor.parent;
}
return newNode;
}
public function build() {
root = new BVHNode(bounds);
// Add all children
root.objects = this.surfaces;
root.split();
function reset() {
this.nodeId = 0;
this.root = null;
}
// BFS tree traversal
function traverse(callback:(node:BVHNode) -> Void) {
var q = [this.root];
while (q.length != 0) {
var current = q.shift();
if (current == null) {
break;
}
callback(current);
if (!current.isLeaf) {
if (current.child1 != null)
q.push(current.child1);
if (current.child2 != null)
q.push(current.child2);
}
}
}
public function remove(node:BVHNode) {
var parent = node.parent;
if (parent != null) {
var sibling = parent.child1 == node ? parent.child2 : parent.child1;
if (parent.parent != null) {
sibling.parent = parent.parent;
if (parent.parent.child1 == parent) {
parent.parent.child1 = sibling;
} else {
parent.parent.child2 = sibling;
}
} else {
this.root = sibling;
sibling.parent = null;
}
var ancestor = sibling.parent;
while (ancestor != null) {
var child1 = ancestor.child1;
var child2 = ancestor.child2;
ancestor.bounds = child1.bounds.clone();
ancestor.bounds.add(child2.bounds);
ancestor = ancestor.parent;
}
} else {
if (this.root == node) {
this.root = null;
}
}
}
function rotate(node:BVHNode) {
if (node.parent == null) {
return;
}
var parent = node.parent;
var sibling = parent.child1 == node ? parent.child2 : parent.child1;
var costDiffs = [];
var nodeArea = node.bounds.xSize * node.bounds.ySize + node.bounds.zSize * node.bounds.ySize + node.bounds.xSize * node.bounds.zSize;
var ch1 = sibling.bounds.clone();
ch1.add(node.child1.bounds);
costDiffs.push(ch1.xSize * ch1.ySize + ch1.zSize * ch1.ySize + ch1.xSize * ch1.zSize - nodeArea);
var ch2 = sibling.bounds.clone();
ch2.add(node.child2.bounds);
costDiffs.push(ch2.xSize * ch2.ySize + ch2.zSize * ch2.ySize + ch2.xSize * ch2.zSize - nodeArea);
if (!sibling.isLeaf) {
var siblingArea = sibling.bounds.xSize * sibling.bounds.ySize + sibling.bounds.zSize * sibling.bounds.ySize
+ sibling.bounds.xSize * sibling.bounds.zSize;
if (sibling.child1 != null) {
var ch3 = node.bounds.clone();
ch3.add(sibling.child1.bounds);
costDiffs.push(ch3.xSize * ch3.ySize + ch3.zSize * ch3.ySize + ch3.xSize * ch3.zSize - siblingArea);
}
if (sibling.child2 != null) {
var ch4 = node.bounds.clone();
ch4.add(sibling.child2.bounds);
costDiffs.push(ch4.xSize * ch4.ySize + ch4.zSize * ch4.ySize + ch4.xSize * ch4.zSize - siblingArea);
}
}
var bestDiffIndex = 0;
for (i in 1...costDiffs.length) {
if (costDiffs[i] < costDiffs[bestDiffIndex]) {
bestDiffIndex = i;
}
}
if (costDiffs[bestDiffIndex] < 0.0) {
switch (bestDiffIndex) {
case 0:
if (parent.child1 == sibling) {
parent.child1 = node.child2;
} else {
parent.child2 = node.child2;
}
if (node.child2 != null) {
node.child2.parent = parent;
}
node.child2 = sibling;
sibling.parent = node;
node.bounds = sibling.bounds.clone();
if (node.child1 != null) {
node.bounds.add(node.child1.bounds);
}
case 1:
if (parent.child1 == sibling) {
parent.child1 = node.child1;
} else {
parent.child2 = node.child1;
}
if (node.child1 != null) {
node.child1.parent = parent;
}
node.child1 = sibling;
sibling.parent = node;
node.bounds = sibling.bounds.clone();
if (node.child2 != null) {
node.bounds.add(node.child2.bounds);
}
case 2:
if (parent.child1 == node) {
parent.child1 = sibling.child2;
} else {
parent.child2 = sibling.child2;
}
if (sibling.child2 != null) {
sibling.child2.parent = parent;
}
sibling.child2 = node;
node.parent = sibling;
sibling.bounds = node.bounds.clone();
if (sibling.child2 != null) {
sibling.bounds.add(sibling.child2.bounds);
}
case 3:
if (parent.child1 == node) {
parent.child1 = sibling.child1;
} else {
parent.child2 = sibling.child1;
}
if (sibling.child1 != null) {
sibling.child1.parent = parent;
}
sibling.child1 = node;
node.parent = sibling;
sibling.bounds = node.bounds.clone();
if (sibling.child1 != null) {
sibling.bounds.add(sibling.child1.bounds);
}
}
}
}
public function boundingSearch(searchbox:Bounds) {
return this.root.boundingSearch(searchbox);
var res = [];
if (this.root == null)
return res;
var q = [this.root];
while (q.length != 0) {
var current = q.shift();
if (current.bounds.containsBounds(searchbox) || current.bounds.collide(searchbox)) {
if (current.isLeaf) {
res.push(current.surface);
} else {
if (current.child1 != null)
q.push(current.child1);
if (current.child2 != null)
q.push(current.child2);
}
}
}
return res;
}
public function rayCast(origin:Vector, direction:Vector) {
return this.root.rayCast(origin, direction);
var res = [];
if (this.root == null)
return res;
var ray = h3d.col.Ray.fromValues(origin.x, origin.y, origin.z, direction.x, direction.y, direction.z);
var q = [this.root];
while (q.length != 0) {
var current = q.shift();
if (ray.collide(current.bounds)) {
if (current.isLeaf) {
res = res.concat(current.surface.rayCast(origin, direction));
} else {
if (current.child1 != null)
q.push(current.child1);
if (current.child2 != null)
q.push(current.child2);
}
}
}
return res;
}
}

View file

@ -55,11 +55,11 @@ class CollisionEntity implements IOctreeObject {
// Generates the bvh
public function finalize() {
this.generateBoundingBox();
this.bvh = new BVHTree(this.boundingBox);
this.bvh = new BVHTree();
for (surface in this.surfaces) {
this.bvh.insert(surface);
this.bvh.add(surface);
}
this.bvh.build();
// this.bvh.build();
}
public function setTransform(transform:Matrix) {