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Book Cover
E-book
Author Sabin, M. A. (Malcolm Arthur)

Title Analysis and design of univariate subdivision schemes / Malcolm Sabin
Published Heidelberg ; New York : Springer-Verlag Berlin Heidelberg, ©2010

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Description 1 online resource (xiv, 215 pages) : illustrations
Series Geometry and computing ; 6
Geometry and computing ; 6.
Contents Introduction -- Part I. Prependices -- Part II. Dramatis Personae -- Part III. Analyses -- Part IV. Design -- Part V. Implementation -- Part VI. Appendices -- References -- Index
Summary This book covers the theory of subdivision curves in detail, which is a prerequisite for that of subdivision surfaces. The book reports on the currently known ways of analysing a subdivision scheme (i.e. measuring criteria which might be important for the application of a scheme to a given context). It then goes on to consider how those analyses can be used in reverse to design a scheme best matching the particular criteria for a given application. The book is presented in an accessible fashion, even for those whose mathematics is a tool to be used, not a way of life. It should provide the reader with a full and deep understanding of the state-of-the-art in subdivision analysis, and separate sections on mathematical techniques provide revision for those needing it. The book will be of great interest to those starting to do research in CAD/CAE. It will also appeal to those lecturing in this subject and industrial workers implementing these methods. The author has spent his professional life on the numerical representation of shape and his book fills a need for a book covering the fundamental ideas in the simplest possible context, that of curves
Bibliography Includes bibliographical references (pages 207-212) and index
Notes Print version record
In Springer - LINK
Subject Curves.
Curves.
Curvas
Curves
Kurve
Unterteilungsalgorithmus
Geometrische Modellierung
Form Electronic book
LC no. 2010934300
ISBN 9783642136481
3642136486