CHOP 发表于 2025-3-25 05:49:40

https://doi.org/10.1007/978-3-7091-9813-1struction of A. Overhauser is one of the earliest examples after Ferguson . Besides its extreme simplicity and robustness, this spline (in the cardinal case) deserves some interest because of its affine invariance. This allows a complete analysis of its shape-preserving properties, which is given in the present paper.

DEMUR 发表于 2025-3-25 09:48:50

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Immunoglobulin 发表于 2025-3-25 14:01:29

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宿醉 发表于 2025-3-25 18:00:34

Miriam Peters,Henrike Sappok-Laueim curves of tensor product Bézier surfaces. Trimming curves are assumed to be defined as Bézier curves in surface parameter domain. A Bézier spline approximation of lower polynomial degree is built up as well, which is based on the exact trim curve representation in coordinate space.

musicologist 发表于 2025-3-25 22:41:30

Unimodal Properties of Generalized Ball Bases,lied to show that the Generalized Ball basis of degree . is always unimodal whenever . is odd and is never unimodal whenever . is even except for the cases . = 2, 4. A new proof of the unimodality of the Bernstein basis is also provided.

PAGAN 发表于 2025-3-26 04:08:05

Geometric Design with Trimmed Surfaces,oth blending and rendering of trimmed patches. This article reviews existing strategies that provide solutions to these problems and presents a new method that uses Coons’ patches for geometric redefinition of trimmed tensor product surfaces.

Occipital-Lobe 发表于 2025-3-26 05:49:12

The Shape of the Overhauser Spline,struction of A. Overhauser is one of the earliest examples after Ferguson . Besides its extreme simplicity and robustness, this spline (in the cardinal case) deserves some interest because of its affine invariance. This allows a complete analysis of its shape-preserving properties, which is given in the present paper.

Ibd810 发表于 2025-3-26 11:37:52

Stability Concept for Surfaces,uction of the designed object. Apart from the design process of parametric surfaces another important domain in geometric modeling exists: shape control. In this paper we present a stability concept for surfaces based on infinitesimal bendings.

我就不公正 发表于 2025-3-26 15:15:33

A Quartic Spline Based on a Variational Approach,tly different variational problem that depends on the input data. The goal is to obtain a spline that may have high second derivatives at the interpolated points and low second derivatives between two consecutive interpolated points. The solution is a .. continuous quartic spline.

表被动 发表于 2025-3-26 20:30:06

,Bézier Representation of Trim Curves,im curves of tensor product Bézier surfaces. Trimming curves are assumed to be defined as Bézier curves in surface parameter domain. A Bézier spline approximation of lower polynomial degree is built up as well, which is based on the exact trim curve representation in coordinate space.
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查看完整版本: Titlebook: Geometric Modelling; Dagstuhl 1993 H. Hagen,G. Farin,H. Noltemeier Conference proceedings 1995 Springer-Verlag/Wien 1995 Nurbs.Spline.Splin