Distance for degree raising and reduction of triangular Bézier surfaces
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摘要
The problem of degree reduction and degree raising of triangular Bézier surfaces is considered. The L2 and l2 measures of distance combined with the least-squares method are used to get a formula for the Bézier points. The methods use the matrix representations of the degree reduction and degree raising.
论文关键词：41A65,65D17,65D18,68U05,68U07,Generalized Bernstein polynomials,Triangular Bézier surfaces,Degree reduction,Degree raising,Computer-aided geometric design
论文评审过程：Received 21 January 2003, Revised 18 March 2003, Available online 25 July 2003.
论文官网地址：https://doi.org/10.1016/S0377-0427(03)00432-1
