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• Color
  • RGB vs HSV
  • Color Gamuts
  • Metamers
  • Color on the Computer and Binary numbers
  • Hex Triplets and html colors
  • Physics of color: electromagnetic spectrum.

• Projections in POV-Ray: Perspective vs Orthographic

• Transformations
  • How are objects represented in the computer: Mathematical equation (e.g. sphere x² +y²=r²), or as a mesh (points, edges, polygons)
  • 2D and 3D Matrix Transformations
    • What is a matrix?
    • 2D Transformations: translations, scaling, rotation, and scaling
    • 3D matrix represention of the transformations: scale, translate, rotation, shear
    • multiplication of a matrix and point to give a new point
    • multiplication of two matrices to give a new matrix
    • inverse of a matrix transformation
    • transpose of a matrix.
    • show why the order in which you apply the transformation can matter (e.g. a rotation followed by a translation is different than the same translation followed by the rotation).
    • rotation matrices around the origin are easy. How do you generate the matrix for a rotation around a point other than the origin?
    • What are Homogeneous Coordinates and why are they used?
    • Matrices in Povray

  • World space vs object space.

• Trigonometry: sines and cosines. Converting degrees to radians.

• What is a lathe object?

• What is Ray Tracing and how does it work?

• What is the The Phong Model? Ambient, Diffuse, and Specular light.

• What is a vector? How do you add or subtract two vectors? What is a unit vector? What is a dot product? How are vectors used in computer graphics?

• What is the difference between a pigment and a finish?

• Povray finishes.

• Bump Mapping

• What does it mean toMap a 2D texture?

• Height Fields