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Subdivision Surfaces

By: Peters, J�rg [author.1].
Contributor(s): Reif, Ulrich [author.2 ] | SpringerLink (Online service)0.
Material type: materialTypeLabelBookSeries: Geometry and Computing, 30.Berlin, Heidelberg : Springer Berlin Heidelberg, 2008. Description: XVI, 204 p. 52 illus., 8 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783540764069.Subject(s): Mathematics. 0 | Visualization. 0 | Geometry. 0 | Discrete mathematics. 0 | Engineering. 0 | Computational intelligence. 0 | Industrial engineering. 0 | Production engineering.14 | Mathematics.24 | Discrete Mathematics.24 | Industrial and Production Engineering.24 | Engineering, general.24 | Visualization.24 | Geometry.24 | Computational Intelligence.1DDC classification: 511.1 Online resources: Click here to access online
Contents:
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.
In: Springer eBooks08Summary: 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 It contains both meanwhile classical results as well as brand-new, unpublished material, such as a new framework for constructing C^2-algorithms.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. 0
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Item type Current location Call number Status Date due Barcode Item holds
PK Kelkar Library, IIT Kanpur
Available EBK10404
Total holds: 0

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.

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. 0

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