Hormann, Kai,

Generalized Barycentric Coordinates in Computer Graphics and Computational Mechanics / Kai Hormann. - First edition. - 1 online resource : text file, PDF

""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 ""

"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.

9781315153452 1315153459 9781498763615 1498763618 9781498763592 1498763596


MATHEMATICS--Number Systems.
SCIENCE--Mechanics--General.
Barycentric coordinates.
Mechanics.
Computer graphics--Mathematics.
Center of mass.

QA556 / .H676 2017

516.16