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Introduction to the mathematics of subdivision surfaces

Author: Lars-Erik Andersson; N F Stewart; Society for Industrial and Applied Mathematics.
Publisher: Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2010.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This is an introduction to the mathematical theory which underlies subdivision surfaces, as it is used in computer graphics and animation. Subdivision surfaces enable a designer to specify the approximate form of a surface that defines an object and then to refine it to get a more useful or attractive version. A considerable amount of mathematical theory is needed to understand the characteristics of the resulting  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Andersson, Lars-Erik.
Introduction to the mathematics of subdivision surfaces.
Philadelphia : Society for Industrial and Applied Mathematics, ©2010
(DLC) 2009047055
(OCoLC)468854729
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Lars-Erik Andersson; N F Stewart; Society for Industrial and Applied Mathematics.
ISBN: 9780898717617 0898717612 0898716977 9780898716979
OCLC Number: 694085954
Description: 1 online resource (xxiv, 356 pages : illustrations) : digital file
Contents: 1. Introduction --
2. B-spline surfaces --
3. Box-spline surfaces --
4. Generalized-spline surfaces --
5. Convergence and smoothness --
6. Evaluation and estimation of surfaces --
7. Shape control.
Responsibility: Lars-Erik Andersson, Neil F. Stewart.

Abstract:

This is an introduction to the mathematical theory which underlies subdivision surfaces, as it is used in computer graphics and animation. Subdivision surfaces enable a designer to specify the approximate form of a surface that defines an object and then to refine it to get a more useful or attractive version. A considerable amount of mathematical theory is needed to understand the characteristics of the resulting surfaces, and this book explains the material carefully and rigorously. The text is highly accessible, organising subdivision methods in a unique and unambiguous hierarchy which builds insight and understanding. The material is not restricted to questions related to regularity of subdivision surfaces at so-called extraordinary points, but gives a broad discussion of the various methods. It is therefore an excellent preparation for more advanced texts that delve more deeply into special questions of regularity.

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