Wednesday
8/29/07

• Rodrigues' rotation formula

• This chapter presents much of the same material found in the lectures, including piecewise linear, hermite, Bézier, and B-spline curves, in a reasonably compatible style. Note that the book orders the powers of t the other way from the lectures, leading to spline matrices that are flipped bottom to top.

• Related Ch7 errata (2nd ed):

• p 172 The matrix Mprojection is the product of the matrix in 
        Equation 7.3 and Mp (i.e., it does not include the
        transform to pixel coordinates present in Mo).
        (Peter Shirley, Feb 21, 06)
  

• p 175 Question 4.  The matrix actually takes (r,t,n) to (1,1,1).
        (Note that n and f are along the negative z axis in that
         order, so n is "postive" relative to f, and thus n goes
         to -1 and f goes to 1 to preserve that ordering).
         (Gabe Johnson, Feb 21, 06)
  

• Good reference is Foley et al. if you want to know more.

• UVMapper program
  

• Original [Porter and Duff 1984] paper
  
• Java program based on Porter-Duff algorithm
  

• Ray-triangle intersection equations and algorithm (sec 10.3.2)
• Refraction geometry; total internal reflection (TIR) (sec 10.7)
• Beer's Law for attenuation (sec 10.7)
• Ray tracing CSG models (sec 10.10)
  

Friday
11/2/07

• Perlin noise:
• See Shirley, Chapter 11
  
• Java implementation of "Improved Noise"
  
• Further reading:
• Ken Perlin's page on Noise and Turbulence
• "Making Noise" talk
• Paul Bourke's page on modeling and rendering
• Book: Texturing and Modeling: A Procedural Approach
  

• OpenGL Shading Language (OpenGL site)
  
• GLSL orange book
• GLSL Quickref
  
• Wikipedia
  

• Many-Worlds Browsing [Twigg and James 2007]
  
• Closest related material in Shirley: Chapter 18 "Building Interactive Graphics Applications"
  

• Prelim2
• Solution

• Quaternions
• Slerp: Spherical Linear intERPolation
  
• Video: "Attack of the Note Sheep," SIGGRAPH Video Review, Issue 147: SIGGRAPH 2004 Electronic Theater Program, 2004.
  

• CS465 Final Exam
• CS465 Final Exam Solution
• Ray Tracing Contest Results (forthcoming)