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03138nam a22005775i 4500 |
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978-3-540-76406-9 |
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DE-He213 |
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20151204180518.0 |
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cr nn 008mamaa |
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100301s2008 gw | s |||| 0|eng d |
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|a 9783540764069
|9 978-3-540-76406-9
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|a 10.1007/978-3-540-76406-9
|2 doi
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|a QA150-272
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|a PBD
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|a MAT008000
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|a 511.1
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|a Peters, Jörg.
|e author.
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|a Subdivision Surfaces
|h [electronic resource] /
|c by Jörg Peters, Ulrich Reif.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2008.
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| 300 |
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|a XVI, 204 p. 52 illus., 8 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
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|a text file
|b PDF
|2 rda
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|a Geometry and Computing,
|x 1866-6795 ;
|v 3
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|a and Overview -- Geometry Near Singularities -- Generalized Splines -- Subdivision Surfaces -- C1k-Subdivision Algorithms -- Case Studies of C1k-Subdivision Algorithms -- Shape Analysis and C2k-Algorithms -- Approximation and Linear Independence -- Conclusion.
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|a 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.
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|a Mathematics.
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|a Visualization.
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|a Geometry.
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|a Discrete mathematics.
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| 650 |
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|a Engineering.
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|a Computational intelligence.
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|a Industrial engineering.
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|a Production engineering.
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|a Mathematics.
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|a Discrete Mathematics.
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|a Industrial and Production Engineering.
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|a Engineering, general.
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|a Visualization.
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|a Geometry.
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| 650 |
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|a Computational Intelligence.
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| 700 |
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|a Reif, Ulrich.
|e author.
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| 710 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783540764052
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| 830 |
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|a Geometry and Computing,
|x 1866-6795 ;
|v 3
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| 856 |
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|u http://dx.doi.org/10.1007/978-3-540-76406-9
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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