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Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics / Kai Hormann.

By: Hormann, Kai [author.].
Contributor(s): Sukumar, N.
Material type: materialTypeLabelBookPublisher: Boca Raton, FL : CRC Press, 2017Edition: First edition.Description: 1 online resource : text file, PDF.Content type: text Media type: computer Carrier type: online resourceISBN: 9781315153452; 1315153459; 9781498763615; 1498763618; 9781498763592; 1498763596.Subject(s): MATHEMATICS -- Number Systems | SCIENCE -- Mechanics -- General | Barycentric coordinates | Mechanics | Computer graphics -- Mathematics | Center of massDDC classification: 516.16 Online resources: Taylor & Francis Distributed by publisher. Purchase or institutional license may be required for access. | Taylor & Francis Click here to view. | OCLC metadata license agreement
Contents:
""Cover ""; ""Half Title ""; ""Title ""; ""Copyrights ""; ""Contents ""; ""Preface ""; ""Contributors ""; ""Section I. Theoretical Foundations ""
""Chapter 1. Barycentric Coordinates And Their Properties """" 1.1 Introduction""; ""1.1.1 Barycentric Coordinates For Simplices ""
""1.1.2 Generalized Barycentric Coordinates """"1.2 2D Coordinates""; ""1.2.1 Wachspress Coordinates ""; ""1.2.2 Discrete Harmonic Coordinates ""
""1.2.3 Mean Value Coordinates """"1.2.4 Complete Family Of Coordinates ""; ""1.2.5 Metric Coordinates ""; ""1.2.6 Poisson Coordinates ""
""1.2.7 Gordonâ#x80;#x93;wixom Coordinates """"1.2.8 Harmonic Coordinates ""; ""1.2.9 Maximum Entropy Coordinates ""; ""1.2.10 Local Coordinates ""
Scope and content: "In Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics, eminent computer graphics and computational mechanics researchers provide a state-of-the-art overview of generalized barycentric coordinates. Commonly used in cutting-edge applications such as mesh parametrization, image warping, mesh deformation, and finite as well as boundary element methods, the theory of barycentric coordinates is also fundamental for use in animation and in simulating the deformation of solid continua. Generalized Barycentric Coordinates is divided into three sections, with five chapters each, covering the theoretical background, as well as their use in computer graphics and computational mechanics. A vivid 16-page insert illustrates the stunning applications of this fascinating research area."--Provided by publisher.
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"In Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics, eminent computer graphics and computational mechanics researchers provide a state-of-the-art overview of generalized barycentric coordinates. Commonly used in cutting-edge applications such as mesh parametrization, image warping, mesh deformation, and finite as well as boundary element methods, the theory of barycentric coordinates is also fundamental for use in animation and in simulating the deformation of solid continua. Generalized Barycentric Coordinates is divided into three sections, with five chapters each, covering the theoretical background, as well as their use in computer graphics and computational mechanics. A vivid 16-page insert illustrates the stunning applications of this fascinating research area."--Provided by publisher.

""Cover ""; ""Half Title ""; ""Title ""; ""Copyrights ""; ""Contents ""; ""Preface ""; ""Contributors ""; ""Section I. Theoretical Foundations ""

""Chapter 1. Barycentric Coordinates And Their Properties """" 1.1 Introduction""; ""1.1.1 Barycentric Coordinates For Simplices ""

""1.1.2 Generalized Barycentric Coordinates """"1.2 2D Coordinates""; ""1.2.1 Wachspress Coordinates ""; ""1.2.2 Discrete Harmonic Coordinates ""

""1.2.3 Mean Value Coordinates """"1.2.4 Complete Family Of Coordinates ""; ""1.2.5 Metric Coordinates ""; ""1.2.6 Poisson Coordinates ""

""1.2.7 Gordonâ#x80;#x93;wixom Coordinates """"1.2.8 Harmonic Coordinates ""; ""1.2.9 Maximum Entropy Coordinates ""; ""1.2.10 Local Coordinates ""

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