Assignment 6

 Transmission (Refraction):

kd = 0.2
ks = 0.6
tr = 0.8
index of refraction: 0.95

Shadow ray weighted by transmission coefficient of shadowing object (same parameters).

Advanced Assignment 4: Photon Mapping

 Photon Mapping (6 bounces Russian Roulette with multiple storage of a single photon):

 All images power is photon gathered (specular reflection directions are ray traced) with one photon map.

Gather at hit point is performed by:

loop vicinity photons{
    (check incident angle against surface normal to weed out wrong surface photons)

    photon_contributions(color) += attenuation * photon_power
}
total_power(at point) = photon_contributions * density

density = 1 / 2 * pi * (furthest contributing photon distance)^2
attenuation = 1 - (photon contributing distance away)^2 / (furthest contributing photon distance)^2

 box dimensions: 20 x 10 x 20

Photons: 100,000
max_power: 3000
max_gather: 600 photons or 1 unit length

Photons: 50,000
max_power: 3000
max_gather: 400 photons or 1 unit length

max_gather: 200 photons or 1 unit length

Photons: 20,000
max_power: 3000
max_gather: 400 photons or 1 unit length

max_gather: 300 photons or 1 unit length

max_gather: 150 photons or 1 unit  length

Photons: 1,000
max_power: 1500
max_gather: 200 photons or 1 unit length

Assignment 5

Here is the basic reflection image (I moved the other sphere to see the reflection better):

 kd = 0.8 ks=0.2

All images below are MonteCarlo reflection path images based on Phong model:
kd = 0.8 ks=0.2
10 samples

second: kd = 0.8 ks=0.2
50 samples

These next two I tried to see if more of a specular material would concentrate the reflected rays and reduce noise;
kd = 0.4 ks=0.6
50 samples

kd = 0.4 ks=0.6
100 samples