Functional distributed ray tracer for computer graphics

• Phong illumination
• Intersection with sphere
• Intersection with plane
• Single ray casting

• Recursive ray tracing
  Achieved by adding a 'depth' parameter when shooting rays. Recursively reflects rays in a slightly random direction until depth=0.
• Anti-aliasing
  Achieved by shooting more rays per pixel and averaging the colors.
• Depth of field
  Achieved by shading each pixel with more rays that starts at random places on lens and points to the focal point.
• Extended light source, soft shadow
  Achieved by approximating point lights as spheres and using a random point on the sphere as the light's position during intersections.
• Texture mapping
  Achieved by adding Texture class to Material and converting 3D intersection points to UV space to map to the 2D texture maps.
• Reflection
  Achieved by shooting another ray in the perfect specular direction given the normal and incoming ray direction.
• Refraction
  Achieved by applying snell's law.
• Fresnel law
  Balanced between refraction and reflection color using fresnel law.
• Glossy effect
  Achieved by distorting the direction of the reflected ray to take into account the roughness of the surface.
• Non-trivial object
  Added support for rendering cylinder objects.