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Titlebook: Subdivision Surfaces; J?rg Peters,Ulrich Reif Textbook 2008 Springer-Verlag Berlin Heidelberg 2008 Graph.Sim.algorithms.computer graphics.

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發(fā)表于 2025-3-21 16:39:38 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Subdivision Surfaces
編輯J?rg Peters,Ulrich Reif
視頻videohttp://file.papertrans.cn/882/881259/881259.mp4
概述Authors are leading researchers in the topic.Very little competition, this is one of the most important contributions to the literature.Presentation of state of the art in Subdivision.Includes supplem
叢書(shū)名稱(chēng)Geometry and Computing
圖書(shū)封面Titlebook: Subdivision Surfaces;  J?rg Peters,Ulrich Reif Textbook 2008 Springer-Verlag Berlin Heidelberg 2008 Graph.Sim.algorithms.computer graphics.
描述.Since their first appearance in 1974, subdivision algorithms for generating surfaces of arbitrary topology have gained widespread popularity in computer graphics and are being evaluated in engineering applications. This development was complemented by ongoing efforts to develop appropriate mathematical tools for a thorough analysis, and today, many of the fascinating properties of subdivision are well understood. .This book summarizes the current knowledge on the subject. It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms. .The focus of the book is on the development of a comprehensive mathematical theory, and less on algorithmic aspects. It is intended to serve researchers and engineers - both new to the beauty of the subject - as well as experts, academic teachers and graduate students or, in short, anybody who is interested in the foundations of this flourishing branch of applied geometry. .
出版日期Textbook 2008
關(guān)鍵詞Graph; Sim; algorithms; computer graphics; computer-aided design (CAD); development; topology
版次1
doihttps://doi.org/10.1007/978-3-540-76406-9
isbn_softcover978-3-642-09527-6
isbn_ebook978-3-540-76406-9Series ISSN 1866-6795 Series E-ISSN 1866-6809
issn_series 1866-6795
copyrightSpringer-Verlag Berlin Heidelberg 2008
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Geometry Near Singularities,e principal curvatures and the fundamental forms, but also develops material that is not found in standard text books, such as the embedded Weingarten map, that is crucial to understanding subdivision surfaces..Parametric singularities in the form of isolated ‘extraordinary points’ are a key feature
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Generalized Splines,omials. We will define splines in a less restrictive fashion to include, for example, trigonometric splines and functions generated by interpolating refinement algorithms. This will allow us to cover the shared underlying fundamentals once and for all. Specifically, splines are defined as continuous
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Shape Analysis and ,-Algorithms,cond order properties, such as the Gaussian curvature or the embedded Weingarten map, which characterize shape. To simplify the setup, we assume . ≥ 2 throughout. That is, second order partial derivatives of the patches x. exist and satisfy the contact conditions (4.7/62) and (4.8/62) between neighb
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