反馈文件质量
ia/computationalmet0000euro.pdf
Computational methods for algebraic spline surfaces : ESF exploratory workshop 🔍
Tor Dokken; Bert Jüttler; European Science Foundation. Workshop Springer Berlin Heidelberg : Imprint : Springer, Disease management of fruits and vegetables, v. 62, Berlin ; New York, 2005
英语 [en] · PDF · 11.5MB · 2005 · 📗 未知类型的图书 · 🚀/ia · 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
备选作者
From papers presented at the Computational Methods for Algebraic Spline Surfaces ("COMPASS") international workshop
备选作者
European Science Foundation. Workshop (2003: Kefermarkt, Austria); Dokken, Tor; Jüttler, B. (Bert)
备选作者
Tor Dokken and Bert Jüttler
备用出版商
Springer-Verlag Berlin and Heidelberg & Co. KG
备用出版商
Springer Spektrum. in Springer-Verlag GmbH
备用出版商
Steinkopff. in Springer-Verlag GmbH
备用出版商
Berlin ; New York: Springer
备用版本
1st ed. 2005, Berlin, Heidelberg, 2005
备用版本
Berlin, GW, United States, 2005
备用版本
1 edition, June 8, 2005
备用版本
Germany, Germany
备用版本
Dordrecht, 2006
备用版本
May 24, 2006
备用版本
2005, 2006
备用版本
2005, 2004
备用描述
1 online resource (vi, 237 pages) :
"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."--Jacket
Includes bibliographical references
Approximate Parametrisation of Confidence Sets -- Challenges in Surface-Surface Intersections -- Computing the Topology of Three-Dimensional Algebraic Curves -- Distance Properties of?-Points on Algebraic Curves -- Distance Separation Measures Between Parametric Curves and Surfaces Toward Intersection and Collision Detection Applications -- Elementary Theory of Del Pezzo Surfaces -- The Geometry of the Tangent Developable -- Numerical and Algebraic Properties of Bernstein Basis Resultant Matrices -- Polynomial C2 Spline Surfaces Guided by Rational Multisided Patches -- A Recursive Taylor Method for Algebraic Curves and Surfaces -- Self-Intersection Problems and Approximate Implicitization -- Singularities of Some Projective Rational Surfaces -- On the Shape Effect of a Control Point: Experimenting with NURBS Surfaces -- Third Order Invariants of Surfaces -- Universal Rational Parametrizations and Spline Curves on Toric Surfaces -- Panel Discussion
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
2023-06-28
更多信息……

🚀 快速下载

成为会员以支持书籍、论文等的长期保存。为了感谢您对我们的支持，您将获得高速下载权益。❤️

🐢 低速下载

由可信的合作方提供。 更多信息请参见常见问题解答。 （可能需要验证浏览器——无限次下载！）

所有选项下载的文件都相同，应该可以安全使用。即使这样，从互联网下载文件时始终要小心。例如，确保您的设备更新及时。
显示外部下载
  • 对于大文件，我们建议使用下载管理器以防止中断。
    推荐的下载管理器：JDownloader
  • 您将需要一个电子书或 PDF 阅读器来打开文件，具体取决于文件格式。
    推荐的电子书阅读器：Anna的档案在线查看器、ReadEra和Calibre
  • 使用在线工具进行格式转换。
    推荐的转换工具：CloudConvert和PrintFriendly
  • 您可以将 PDF 和 EPUB 文件发送到您的 Kindle 或 Kobo 电子阅读器。
    推荐的工具：亚马逊的“发送到 Kindle”和djazz 的“发送到 Kobo/Kindle”
  • 支持作者和图书馆
    ✍️ 如果您喜欢这个并且能够负担得起，请考虑购买原版，或直接支持作者。
    📚 如果您当地的图书馆有这本书，请考虑在那里免费借阅。