Reparameterization of piecewise rational Bezier curves and its applications

摘要

A piecewise rational Bezier curve is formed by several rational Bezier curve segments. It can be represented by a rational B-Spline Curve where the multiplicity of each inte- Rior knot equals degree. Although the curve Segments are C~1 continuous in three dimen- Sions, they may be C_0 continuous in four Dimensions. In this case, the multiplicity of Each interior knot cannot be reduced and the B-spline basis function becomes C~0 contin- Uous.