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Sliding windows algorithm for B-spline multiplication   
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. We present theSliding Windows Algorithm(SWA), a new blossoming based algorithm for B-spline multiplication that addresses the difficulties mentioned heretofore.
发  表:   Symposium on Solid Modeling and Applications  2007

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