CS488 - Introduction to Computer Graphics - Lecture 35

Comments and Questions


Review

  1. Winged edge
  2. Splines without tears
  3. Animation

Spline Curves

Affine Combinations

  1. Line segments
  2. Quadratic segments
  3. Cubic segments
  4. etc

This process is called `blending' points.

If we call comb(n,i)u^(n-i) t^i the Bernstein polynomial, B(n, i; t, u), then

Joining Bezier curves

With C0 continuity

With C1 continuity

Weaker first order continuity G1

With C2 continuity


Spline Surfaces

Tensor product patches


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