ABSTRACT

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

part 1|93 pages

Theoretical Foundations

part 2|82 pages

Applications in Computer Graphics

chapter 6|12 pages

Mesh Parameterization

chapter 7|25 pages

Planar Shape Deformation

chapter 9|10 pages

Generalized Triangulations

chapter 10|20 pages

Self-Supporting Surfaces