Salivary-Gland 发表于 2025-3-26 23:29:47

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Myocarditis 发表于 2025-3-27 02:11:03

Jason R. Finley,Farah Naaz,Francine W. Gohrty, basically all properties of the Bézier representation of curves have a surface equivalent. The Bézier representation over triangles can be generalized further to Bézier representations over multi-dimensional simplices, see Chapter 19.

愤愤不平 发表于 2025-3-27 06:13:34

Human Rights and European Remembrance simple task to derive algorithms which evaluate, degree elevate, reparametrize, or subdivide a triangular surface in Bézier representation. The generalization of the techniques described for univariate polynomials in Chapter 3 is straightforward.

anchor 发表于 2025-3-27 09:56:29

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Constrain 发表于 2025-3-27 16:45:25

Uilleam Blacker,Alexander Etkind,Julie Fedork presented a similar generalization for bicubic splines. Their algorithms can be applied to arbitrary quadrilateral control nets and yield sequences of control nets that converge to piecewise biquadratic or bicubic surfaces with finitely many so-called extraordinary points.

重画只能放弃 发表于 2025-3-27 20:00:54

https://doi.org/10.1007/978-3-662-04919-8B-splines; Bezier curves; CAGD; Gk-surface constructions; Interpolation; computer aided geometric design;

拖债 发表于 2025-3-27 22:15:04

978-3-642-07842-2Springer-Verlag Berlin Heidelberg 2002

Parameter 发表于 2025-3-28 05:22:17

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大厅 发表于 2025-3-28 09:58:54

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逃避责任 发表于 2025-3-28 12:36:38

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查看完整版本: Titlebook: Bézier and B-Spline Techniques; Hartmut Prautzsch,Wolfgang Boehm,Marco Paluszny Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 B-spl