Geometric Degree Reduction of Wang–Ball Curves

Algorithm 1

Algorithm of geometric degree reduction of Wang–Ball curves.

	Input: (1) Degree of the initial curve and its control points ;
	(2) Geometric continuity condition ;
	(3) Degree of the reduced curve ;
	1 Draw the initial curve and its control polygon;
	2 Compute the constraint control point using:
	(12), for -continuity,
	(24), for -continuity,
	(42), for -continuity;
	3 Compute the interior control points using:
	(20), for -continuity,
	(38), for -continuity,
	(56), for -continuity;
	Output: Draw the degree-reduced curve.