| Description |
1 online resource (xvi, 204 pages) : illustrations (some color) |
| Series |
Geometry and computing ; 3 |
|
Geometry and computing ; 3.
|
| Contents |
Introduction and overview -- Geometry near singularities -- Generalized splines -- Subdivision surfaces -- Ck₁-subdivision algorithms -- Case studies of Ck₁-subdivision algorithms -- Shape analysis and Ck₂-algorithms -- Approximation and linear independence -- Conclusion |
| Summary |
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 It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing Ĉ2-algorithms.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 |
| Analysis |
wiskunde |
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mathematics |
|
machine vision |
|
computertechnieken |
|
computer techniques |
|
computer software |
|
meetkunde |
|
geometry |
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engineering |
|
industrie |
|
industry |
|
patroonherkenning |
|
pattern recognition |
|
numerieke methoden |
|
numerical methods |
|
computational science |
|
visualisatie |
|
visualization |
|
Mathematics (General) |
|
Wiskunde (algemeen) |
| Bibliography |
Includes bibliographical references (pages 183-197) and index |
| Notes |
Print version record |
| Subject |
Subdivision surfaces (Geometry)
|
|
Splines.
|
|
Geometry, Differential.
|
|
Geometry -- Computer-aided design
|
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Geometry -- Data processing
|
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Splines.
|
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Differential geometry.
|
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Geometry -- Computer-aided design.
|
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Geometry -- Data processing.
|
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Subdivision surfaces (Geometry)
|
|
Geometría diferencial
|
|
Geometry -- Data processing
|
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Geometry, Differential
|
|
Splines
|
|
Subdivision surfaces (Geometry)
|
| Form |
Electronic book
|
| Author |
Reif, U. (Ulrich)
|
| ISBN |
9783540764069 |
|
3540764062 |
|
3540764054 |
|
9783540764052 |
|
