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nexusstc/Computational Methods for Algebraic Spline Surfaces: ESF Exploratory Workshop/6cd91159878262914b7208902e4737e8.pdf
Computational methods for algebraic spline surfaces : ESF exploratory workshop 🔍
Tor Dokken and Bert Jüttler Springer-Verlag Berlin and Heidelberg & Co. KG, 1 edition, June 8, 2005
英语 [en] · PDF · 3.7MB · 2005 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
描述
This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces (“COMPASS”), which was held from September 29 to October 3, 2003, at Schloß Weinberg, Kefermarkt (A- tria). The workshop was mainly devoted to approximate algebraic geometry and its - plications. The organizers wanted to emphasize the novel idea of approximate implici- zation, that has strengthened the existing link between CAD / CAGD (Computer Aided Geometric Design) and classical algebraic geometry. The existing methods for exact implicitization (i. e. , for conversion from the parametric to an implicit representation of a curve or surface) require exact arithmetic and are too slow and too expensive for industrial use. Thus the duality of an implicit representation and a parametric repres- tation is only used for low degree algebraic surfaces such as planes, spheres, cylinders, cones and toroidal surfaces. On the other hand, this duality is a very useful tool for - veloping ef?cient algorithms. Approximate implicitization makes this duality available for general curves and surfaces. The traditional exact implicitization of parametric surfaces produce global rep- sentations, which are exact everywhere. The surface patches used in CAD, however, are always de?ned within a small box only; they are obtained for a bounded parameter domain (typically a rectangle, or – in the case of “trimmed” surface patches – a subset of a rectangle). Consequently, a globally exact representation is not really needed in practice.
Erscheinungsdatum: 10.12.2004
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lgli/_382978.6cd91159878262914b7208902e4737e8.pdf
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lgrsnf/_382978.6cd91159878262914b7208902e4737e8.pdf
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scihub/10.1007/978-3-540-27157-4.pdf
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scihub/10.1007/b138694.pdf
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zlib/Science (General)/Tor Dokken, Bert Jüttler/Computational Methods for Algebraic Spline Surfaces: ESF Exploratory Workshop_1093956.pdf
备选作者
From papers presented at the Computational Methods for Algebraic Spline Surfaces ("COMPASS") international workshop
备选作者
Tor Dokken; B Jüttler; European Science Foundation. Workshop
备用出版商
Springer Spektrum. in Springer-Verlag GmbH
备用出版商
Steinkopff. in Springer-Verlag GmbH
备用版本
Disease management of fruits and vegetables, v. 62, Berlin ; New York, 2005
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Berlin, GW, United States, 2005
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Berlin, Heidelberg, 2005
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Germany, Germany
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Dordrecht, 2006
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May 24, 2006
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2005, 2004
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2005, 2006
元数据中的注释
до 2011-08
元数据中的注释
sm23196771
元数据中的注释
{"edition":"1","isbns":["3540232745","3540271570","9783540232742","9783540271574"],"last_page":238,"publisher":"Springer"}
备用描述
<p><p>the Papers Included In This Volume Provide An Overview Of The State Of The Art In Approximative Implicitization And Various Related Topics, Including Both The Theoretical Basis And The Existing Computational Techniques. The Novel Idea Of Approximate Implicitization Has Strengthened The Existing Link Between Computer Aided Geometric Design And Classical Algebraic Geometry. There Is A Growing Interest From Researchers And Professionals Both In Cagd And Algebraic Geometry, To Meet And Combine Knowledge And Ideas, With The Aim To Improve The Solving Of Industrial-type Challenges, As Well As To Initiate New Directions For Basic Research. This Volume Will Support This Exchange Of Ideas Between The Various Communities.</p>
备用描述
"The papers included in this volume provide an overview about the state-of-the-art in approximative implicitization and various related topics, including both the theoretical basis and the existing computational techniques. The novel idea of approximate implicitization has strengthened the existing link between Computer Aided Geometric Design and classical algebraic geometry. There is a growing interest from researchers and professionals both in CAGD and algebraic geometry, to meet and combine knowledge and ideas, in order to better solve industrial-type challenges, as well as to initiate new directions for basic research. This volume will support this exchange of ideas between the various communities."--BOOK JACKET
备用描述
This volume contains revised papers that were presented at the international workshop entitled Computational Methods for Algebraic Spline Surfaces ("COMPASS"), which was held from September 29 to October 3, 2003, at Schloss Weinberg, Kefermarkt (A- tria).
备用描述
Our research was motivated by concrete problem of the analysis and the visualization of the errors of so called Passive Observation Systems (POS).
开源日期
2011-08-31
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