Titlebook: Geometric Modelling; Dagstuhl 1993 H. Hagen,G. Farin,H. Noltemeier Conference proceedings 1995 Springer-Verlag/Wien 1995 Nurbs.Spline.Splin

CHOP

https://doi.org/10.1007/978-3-7091-9813-1struction of A. Overhauser is one of the earliest examples after Ferguson [8]. 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

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宿醉

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

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

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

The Shape of the Overhauser Spline,struction of A. Overhauser is one of the earliest examples after Ferguson [8]. 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

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

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

,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.