/**
* create Hesse Normal Plane from 3 points
*
* @param p0 point 1
* @param p1 point 2
* @param p2 point 3
* @return returns plane in following form {nx,ny,nz,d}
*/
protected static Plane createHessePlane(Vector3 p0, Vector3 p1, Vector3 p2) {
// Vector3s
Vector3 a = p1.clone().subtract(p0);
Vector3 b = p2.clone().subtract(p0);
// cross product -> normal Vector3
Vector3 normal = a.cross(b);
normal.normalize();
// distance to origin
Vector3 scale = p0.clone().multiply(normal);
double distance = scale.x + scale.y + scale.z;
return new Plane(normal, distance);
}
private Matrix4 createLightViewProjectionMatrix(DirectionalLight light) {
//
// -- Get the frustum corners in world space
//
mCamera.getFrustumCorners(mFrustumCorners, true);
//
// -- Get the frustum centroid
//
mFrustumCentroid.setAll(0, 0, 0);
for (int i = 0; i < 8; i++) mFrustumCentroid.add(mFrustumCorners[i]);
mFrustumCentroid.divide(8.0);
//
// --
//
BoundingBox lightBox = new BoundingBox(mFrustumCorners);
double distance = mFrustumCentroid.distanceTo(lightBox.getMin());
Vector3 lightDirection = light.getDirectionVector().clone();
lightDirection.normalize();
Vector3 lightPosition =
Vector3.subtractAndCreate(
mFrustumCentroid, Vector3.multiplyAndCreate(lightDirection, distance));
//
// --
//
mLightViewMatrix.setToLookAt(lightPosition, mFrustumCentroid, Vector3.Y);
for (int i = 0; i < 8; i++) mFrustumCorners[i].multiply(mLightViewMatrix);
BoundingBox b = new BoundingBox(mFrustumCorners);
mLightProjectionMatrix.setToOrthographic(
b.getMin().x, b.getMax().x, b.getMin().y, b.getMax().y, -b.getMax().z, -b.getMin().z);
mLightModelViewProjectionMatrix.setAll(mLightProjectionMatrix);
mLightModelViewProjectionMatrix.multiply(mLightViewMatrix);
return mLightModelViewProjectionMatrix;
}