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

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发表于 2025-3-21 16:39:38 | 显示全部楼层 |阅读模式
书目名称Subdivision Surfaces
编辑Jörg Peters,Ulrich Reif
视频video
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
丛书名称Geometry and Computing
图书封面Titlebook: Subdivision Surfaces;  Jörg 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 It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms.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
关键词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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发表于 2025-3-21 20:39:08 | 显示全部楼层
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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