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

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书目名称Geometric Modelling
副标题Dagstuhl 1993
编辑H. Hagen,G. Farin,H. Noltemeier
视频video
丛书名称Computing Supplementa
图书封面Titlebook: Geometric Modelling; Dagstuhl 1993 H. Hagen,G. Farin,H. Noltemeier Conference proceedings 1995 Springer-Verlag/Wien 1995 Nurbs.Spline.Splin
描述Experts from university and industry are presenting new technologies for solving industrial problems and giving many important and practicable impulses for new research. Topics explored include NURBS, product engineering, object oriented modelling, solid modelling, surface interrogation, feature modelling, variational design, scattered data algorithms, geometry processing, blending methods, smoothing and fairing algorithms, spline conversion.This collection of 24 articles gives a state-of-the-art survey of the relevant problems and issues in geometric modelling.
出版日期Conference proceedings 1995
关键词Nurbs; Spline; Splines; algorithms; calculus; geometric modelling; geometry; modeling; partial differential
版次1
doihttps://doi.org/10.1007/978-3-7091-7584-2
isbn_softcover978-3-211-82666-9
isbn_ebook978-3-7091-7584-2Series ISSN 0344-8029
issn_series 0344-8029
copyrightSpringer-Verlag/Wien 1995
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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.
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Complex PDE Surface Generation for Analysis and Manufacture,sis on the influence of the boundary conditions and the effects of parametrisation. The constraints imposed by the requirements of analysis and typical rapid prototyping techniques on the representation of the surface geometry are addressed. These ideas are then employed to obtain the generic design
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,Weight Estimation of Rational Bézier Curves and Surfaces,g polynomial schemes in CAGD. This paper presents several methods to generate weights of rational Bézier curves and surfaces. The main idea is to find weights which minimize functional measuring a technical smoothness of the curves and surfaces. These functional are related to the energy of beams an
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The Use of Multiple Knots for B-spline Finite Element Approximations to PDE Surfaces,the finite element method with appropriate B-spline basis functions as the basis. This paper looks at the use of multiple knots in the B-spline surface approximation to a PDE surface with a view to allowing discontinuities in the surface normal at certain locations. The method is applied to the surf
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