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List of Topics
Preliminary Mathematics
	Single-Valued Advantage of the Parametric Form
	Basis Functions for a Quadratic Bezier Curve
	Affine Transformations (rotation of a Cubic Bezier Curve's Control Points)
Curves
	Cubic Hermite Curve
	Quadratic and Cubic Bezier Curves
	Septic vs. Composite Cubic Bezier Curves
	G0 vs. G1 Continuity for Composite Curves
	Geometric Construction of a Quadratic Bezier Curve Using de Casteljau's Algorithm
	Geometric Construction of a Cubic Bezier Curve Using de Casteljau's Algorithm
	Comparison of Cubic Hermite, Bezier, and B-Spline Curves
	Cubic B-Spline Curve with Multiple Segments
	Cubic B-Spline Curve with Variable Knot Sequences
	Closed B-Spline Curve
Surfaces
	Bi-Cubic Hermite Surface (under construction)
	Bi-Cubic Bezier Surface
	Composite Bi-Cubic Bezier Surface with G0 or G1 Continuity
	B-Cubic B-Spline Surface
Solids
	Rotational Sweep
	Boolean Operations
	Non-Manifold Models