/**
* Ported from paper "Reflections and Refractions in Ray Tracing" by Bram de Greve (2006)
*
* @param incident
* @param normal
* @param n1
* @param n2
* @return
*/
private Refraction getRefraction(Vector incident, Vector normal, float n1, float n2) {
float n = n1 / n2;
float cosI = -normal.dot(incident);
float sinT2 = n * n * (1.0f - cosI * cosI);
if (sinT2 > 1.0) { // TIR
return null;
}
float cosT = (float) Math.sqrt(1.0f - sinT2);
Refraction res = new Refraction();
res.direction = incident.mult(n).add(normal.mult(n * cosI - cosT));
// Schlick approximation
float r0 = (n1 - n2) / (n1 + n2);
r0 *= r0;
float cosX = cosI;
if (n1 > n2) {
cosX = cosT;
}
float x = 1.0f - cosX;
res.reflectionAbility = r0 + (1.0f - r0) * x * x * x * x * x;
res.transmissionAbility = 1.0f - res.reflectionAbility;
return res;
}
public Color trace(Scene scene) {
// find first intersection point with scene objects
Hit firstHit = scene.intersect(this);
// calculate light intensity/color at hit point
if (firstHit == null) {
return new Color(0, 0, 0);
}
Material material = firstHit.getShape().getMaterial();
Color result = new Color(0, 0, 0);
result = result.add(material.computeAmbient(scene.getAmbientLight()));
for (LightSource light : scene.getLightSources()) {
Vector direction = light.getPosition().sub(firstHit.getIntersectionPoint()).normalize();
Vector offset = direction.mult(OFFSET);
Ray shadowRay =
new Ray(direction, firstHit.getIntersectionPoint().add(offset), recursionDepth);
Hit intersection = scene.intersect(shadowRay);
if (intersection == null) {
result = result.add(material.computeDiffuseLight(firstHit, light));
result = result.add(material.computeSpecularLight(firstHit, light));
}
}
if (recursionDepth > 0) {
float n1 = material.getRefractionMediumOutside();
float n2 = material.getRefractionMediumInside();
float reflectionAbility = 1;
if (n1 > 0 && n2 > 0) {
Refraction refractionIn = getRefraction(direction, firstHit.getNormal(), n1, n2);
if (refractionIn != null) {
reflectionAbility = refractionIn.reflectionAbility;
Vector offset = refractionIn.direction.mult(OFFSET);
Ray refractionRay =
new Ray(
refractionIn.direction,
firstHit.getIntersectionPoint().add(offset),
recursionDepth);
Hit outHit = scene.intersect(refractionRay);
Refraction refractionOut =
getRefraction(refractionRay.direction, outHit.getNormal().mult(-1), n2, n1);
if (refractionOut != null) {
Ray outRay =
new Ray(
refractionOut.direction,
outHit.getIntersectionPoint().add(refractionOut.direction.mult(OFFSET)),
recursionDepth - 1);
result = result.add(outRay.trace(scene).modulate(refractionIn.transmissionAbility));
}
}
}
if (material.getReflectionCo() > 0) {
Vector direction = getReflection(this.direction, firstHit.getNormal());
Vector offset = direction.mult(OFFSET);
Ray reflectionRay =
new Ray(direction, firstHit.getIntersectionPoint().add(offset), recursionDepth - 1);
result =
result.add(
reflectionRay
.trace(scene)
.modulate(material.getReflectionCo() * reflectionAbility));
}
}
return result;
}
public Vector getPoint(float t) {
return origin.add(direction.mult(t));
}
private Vector getReflection(Vector direction, Vector normal) {
Vector rayDirection = direction.normalize().mult(-1);
return normal.mult(normal.dot(rayDirection) * 2).sub(rayDirection);
}