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 An Algorithm for Direct Multiplication of B-Splines
 摘  要: B-spline multiplication, that is, finding the coefficients of the product B-spline of two given B-splines is useful as an end result, in addition to being an important prerequisite component to many other symbolic computation operations on B-splines. Algorithms for B-spline multiplication standardly use indirect approaches such as nodal interpolation or computing the product of each set of polynomial pieces using various bases. The original direct approach is complicated. B-spline blossoming provides another direct approach that can be straightforwardly translated from mathematical equation to implementation; however, the algorithm does not scale well with degree or dimension of the subject tensor product B-splines. To addresses the difficulties mentioned heretofore, we present the sliding windows algorithm (SWA), a new blossoming based algorithm for the multiplication of two B-spline curves, two B-spline surfaces, or any two general multivariate B-splines.
 发  表:

 共享有4个版本  [展开全部版本] [收起版本] http://dx.doi.org/10.1109/TASE.2009.2021327 http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=4967868 http://www.cs.utah.edu/~xchen/papers/multiply-tase.pdf
 Bibtex @MISC{author = {Xianming Chen and Richard F. Riesenfeld and Elaine Cohen},title = {An Algorithm for Direct Multiplication of B-splines},year = {}}

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