Lecture 6

scheduled: Saturday, Feb 12, 2005

We discussed:

1. Why do we need parameterization.

2. The example of a Volume Control

• Continuous
• Smooth variation
• Predictability while variation
• Independent controls like tone and bass affect the sound independently. Yet the overall result is not garbled and you can predict the effect of each control in the resulting sound.
  

3. Bezier Curves

• Bernstein Polynomials; how they partition 'unity'.
  
• How they blend the curve
• Degree-1 curve is a straight line.
• Constructing higher degree curves from lower ones.

4. Continuities C0, C1, C2, ..., Cn