Moderate 发表于 2025-3-28 15:40:58
http://reply.papertrans.cn/20/1926/192584/192584_41.pngRobust 发表于 2025-3-28 21:12:37
Jason R. Finley,Farah Naaz,Francine W. Gohenerally, a curve is said to be .. if it has an r times continuously differentiate parametrization. An even more general smoothness concept is based on the continuity of higher order geometric invariants. Piecewise polynomial curves with this general smoothness can be nicely studied using a geometric interpretation of symmetric polynomials.运气 发表于 2025-3-29 02:44:22
Jason R. Finley,Farah Naaz,Francine W. Gohuence, there are simple efficient knot insertion algorithms to convert a B-spline representation to a B-spline representation over a finer and also evenly spaced knot sequence. Moreover, these algorithms are the prototypes for the class of the so-called ..首创精神 发表于 2025-3-29 04:09:41
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http://reply.papertrans.cn/20/1926/192584/192584_48.pngsynovial-joint 发表于 2025-3-30 01:02:01
Gabriele Fischer,Katharina RuhlandSplines are piecewise polynomial curves that are differentiable up to a prescribed order. The simplest example is a piecewise linear .. spline, i.e., a polygonal curve. Other examples are the piecewise cubic .. splines, as constructed in 4.5.百灵鸟 发表于 2025-3-30 05:30:09
https://doi.org/10.1007/978-3-031-52819-4Most algorithms for curves in Bézier representation have a generalized form for splines. One of the most important spline algorithms is knot insertion. It can be used for degree elevation, the de Boor algorithm and subdivision. In particular, de Casteljau’s algorithm can be understood as a special multiple knot insertion.