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Hormann / Sukumar

Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics

Medium: Buch
ISBN: 978-1-4987-6359-2
Verlag: Taylor & Francis Inc
Erscheinungstermin: 06.11.2017
Lieferfrist: bis zu 10 Tage

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 helps illustrating the stunning applications of this fascinating research area.

Key Features:

- Provides an overview of the many different types of barycentric coordinates and their properties.

- Discusses diverse applications of barycentric coordinates in computer graphics and computational mechanics.

- The first book-length treatment on this topic


Produkteigenschaften


  • Artikelnummer: 9781498763592
  • Medium: Buch
  • ISBN: 978-1-4987-6359-2
  • Verlag: Taylor & Francis Inc
  • Erscheinungstermin: 06.11.2017
  • Sprache(n): Englisch
  • Auflage: 1. Auflage 2017
  • Produktform: Gebunden
  • Gewicht: 898 g
  • Seiten: 350
  • Format (B x H x T): 247 x 197 x 27 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Herausgeber

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