Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics (eBook, PDF)

Redaktion: Hormann, Kai; Sukumar, N.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 338
• Erscheinungstermin: 30. Oktober 2017
• Englisch
• ISBN-13: 9781498763615
• Artikelnr.: 50144834

Inhaltsangabe

PART 1 - Theoretical foundations of barycentric coordinates. Ch1) Barycentric coordinates and their properties. Ch2)

Discrete Laplacians. Ch3) Gradient bounds for polyhedral Wachspress coordinates. Ch4) Bijective barycentric mappings. PART 2 -

Applications in Computer Graphics. Ch5) Mesh parameterization. Ch6) Planar shape deformation. Ch7) Character animation.

Ch8) Generalized triangulations. Ch9) Self-supporting surfaces. Ch10) Generalized Coons patches over arbitrary polygons

PART 3 - Applications in Computational Mechanics. Ch11) Local maximum-entropy approximation schemes for deformation of

solid continua. Ch12) A displacement-based finite element formulation for general polyhedra using harmonic coordinates. Ch13)

Mathematical analysis of polygonal and polyhedral finite element methods . Ch14) Polyhedral finite elements for topology

optimization. Ch15) Virtual element method for general second-order elliptic problems on polygonal meshes