Course Outcomes
Bezier Curves
Understand the theory, properties, and algorithms for Bezier curves: de Casteljau algorithm, degree elevation, hodographs, curve intersection algorithms, convex hull property, variationa diminishing property, rational Bezier curves, explicit Bezier curves.
B-Spline Curves
Understand polar form, the de Boor algorithm, the Boehm algorithm, knot intervals.
Tensor product surfaces
Understand tensor product Bezier and B-Spline surfaces, including the de Casteljau algorithm, partial derivatives, parametric continuity, tesselation.
