Abstract
We propose an optimal approach to solve the problem of multi-degree reduction of C-Bezier surfaces in the norm L2 with prescribed constraints. The control points of the degree-reduced C-Bezier surfaces can be explicitly obtained by using a matrix operation that is based on the transfer matrix of the C-Bezier basis. With prescribed boundary constraints, this method can be applied to piecewise continuous patches or to a single patch with the combination of surface subdivision. The resulting piecewise approximating patches are globally G1 continuous. Finally, numerical examples are presented to show the effectiveness of the method.
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