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Titlebook: Computation of Curves and Surfaces; Wolfgang Dahmen,Mariano Gasca,Charles A. Micchelli Book 1990 Kluwer Academic Publishers 1990 3D.Approx

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发表于 2025-3-21 17:02:17 | 显示全部楼层 |阅读模式
书目名称Computation of Curves and Surfaces
编辑Wolfgang Dahmen,Mariano Gasca,Charles A. Micchelli
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丛书名称Nato Science Series C:
图书封面Titlebook: Computation of Curves and Surfaces;  Wolfgang Dahmen,Mariano Gasca,Charles A. Micchelli Book 1990 Kluwer Academic Publishers 1990 3D.Approx
描述Assembled here is a collection of articles presented at a NATO ADVANCED STU­ DY INSTITUTE held at Puerto de la Cruz, Tenerife, Spain during the period of July 10th to 21st, 1989. In addition to the editors of these proceedings Professor Larry L. Schumaker from Vanderbilt University, Nashville, Tennessee, served as a member of the international organizing committee. The contents of the contribu­ tions fall within the heading of COMPUTATION OF CURVES AND SURFACES and therefore address mathematical and computational issues pertaining to the dis­ play, modeling, interrogation and representation of complex geometrical objects in various scientific and technical environments. As is the intent of the NATO ASI program the meeting was two weeks in length and the body of the scientific activities was organized around prominent experts. Each of them presented lectures on his current research activity. We were fortunate to have sixteen distinguished invited speakers representing nine NATO countries: W. Bohm (Federal Republic of Germany), C. de Boor (USA), C.K. Chui (USA), W. Dahmen (Federal Republic of Germany), F. Fontanella (Italy), M. Gasca (Spain), R. Goldman (Canada), T.N.T. Goodman (UK),
出版日期Book 1990
关键词3D; Approximation; Interpolation; finite element method; fractal; wavelet; partial differential equations
版次1
doihttps://doi.org/10.1007/978-94-009-2017-0
isbn_softcover978-94-010-7404-9
isbn_ebook978-94-009-2017-0Series ISSN 1389-2185
issn_series 1389-2185
copyrightKluwer Academic Publishers 1990
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Wolfgang Dahmen,Mariano Gasca,Charles A. Micchelli
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Stationary Subdivision, Fractals and Wavelets of wavelets by multiresolution analysis. This paper summarizes some of the results obtained in [1] on the convergence of stationary subdivision and the structure of the limiting surface and relates them to the above topics.
发表于 2025-3-22 17:50:31 | 显示全部楼层
Recursive Trianglesular recursive evaluation algorithms. Most prominent are de Casteljau’s algorithm for Bezier curves [24], de Boor’s algorithm for B-splines [15], and Neville’s algorithm for Lagrange polynomials [19], but similar recursive evaluation algorithms are known for Catmull-Rom splines [4], for convolution
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Discrete B-Splines and Conversion Problemse central for such problems. We derive the main properties of discrete B-splines and discuss methods for three such conversion problems. The three problems are knot insertion, finding the B-spline form from the piecewise Bézier form, and degree raising.
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Vertex Splines and Their Applications to Interpolation of Discrete Dataions of the notion of .-splines to the multi-variable setting in the literature, very little is known at this writing on the structure and theory of all compactly supported smooth piecewise polynomial functions on a preassigned grid partition Δ in ℝ., . > 1, unless Δ is perfectly regular. While we d
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