Introduction to the Mathematics of Subdivision Surfaces

Inbunden, Engelska, 2010

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Beskrivning

Subdivision surfaces permit a designer to specify the approximate form of a surface defining an object and to refine and smooth the form to obtain a more useful or attractive version of the surface. A considerable amount of mathematical theory is required to understand the characteristics of the resulting surfaces, and this book provides a careful and rigorous presentation of the mathematics underlying subdivision surfaces as used in computer graphics and animation, explaining the concepts necessary to easily read the subdivision literature. It also organizes subdivision methods in a unique and unambiguous hierarchy in order to provide insight and understanding.The material is not restricted to questions related to regularity of subdivision surfaces at so-called extraordinary points but instead gives a broad discussion of the various methods. It is excellent preparation for reading more advanced texts that delve more deeply into special questions of regularity. The authors provide exercises and projects at the end of each chapter. Course material, including solutions to the exercises, is available on an associated Web page.

Produktinformation

Utgivningsdatum:2010-04-30
Mått:185 x 259 x 22 mm
Vikt:807 g
Format:Inbunden
Språk:Engelska
Antal sidor:380
Förlag:Society for Industrial & Applied Mathematics,U.S.
ISBN:9780898716979

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Mer om författaren

Lars-Erik Andersson took his Ph.D. in applied mathematics at Linköping University, Sweden. He is Professor and former Chair of the Department of Mathematics at that university. During 1989-1999 Andersson was Adjoint Director of Research at the Swedish National Defense Research Establishment. He is the author of about 60 publications in various fields: the geometry of Banach spaces, inverse problems, radar imaging, propagation of elastic waves, frictional contact problems in elasticity and computer-aided geometric design. He is a member of SIAM, the Swedish Mathematical Society and EUROMECH. Neil F. Stewart took his Ph.D. in computer science at the University of Toronto, Canada. He is Professor and former Chair of the Department of Computer Science at the Université de Montréal. He is the author of about 40 publications in operations research and solid modeling.

Innehållsförteckning

List of FiguresList of TablesPrefaceNotation, Conventions, AbbreviationsChapter 1: IntroductionChapter 2: B-Spline SurfacesChapter 3: Box-Spline SurfacesChapter 4: Generalized-Spline SurfacesChapter 5: Convergence and SmoothnessChapter 6: Evaluation and Estimation of SurfacesChapter 7: Shape ControlAppendixNotesBibliographyIndex