Matrix representation for multi-degree reduction of Bezier curves
In this paper, we consider multi-degree reduction of Bezier curves with constraints of endpoints continuity with respect to L-2 norm. The control points of the degree reduced Bezier curve can be obtained as a product of the degree reduction matrix and the vector of original control points. We find an explicit form of the multi-degree reduction matrix for Bezier curve with constraints of endpoints continuity. (C) 2005 Elsevier B.V All rights reserved.
matrix representation degree reduction bezier curves endpoints continuity jacobi polynomials