15-462 Lecture 9: Curves and Surfaces

02/19/2002

15-462 Graphics I

Cubic Polynomial Form

•Degree 3 appears to be a useful compromise

•Curves:

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•Each ck is a column vector [ckx cky ckz]T

•From control information (points, tangents) derive 12 values ckx, cky, ckz for 0 · k · 3

•These determine cubic polynomial form

•Later: how to render