Rational Bases and Generalized Barycentrics - Applications to Finite Elements and Graphics

by Eugene Wachspress
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Eugene Wachspress Rational Bases and Generalized Barycentrics - Applications to Finite Elements and Graphics
Eugene Wachspress - Rational Bases and Generalized Barycentrics - Applications to Finite Elements and Graphics

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Description

This three-part volume explores theory for construction of rational interpolation functions for continuous patchwork approximation.  Authored by the namesake of the Wachspress Coordinates, the book develops construction of basis functions for a broad class of elements which have widespread graphics and finite element application. Part one is the 1975 book “A Rational Finite Element Basis” (with minor updates and corrections) written by Dr. Wachspress. Part two describes theoretical advances since 1975 and includes analysis of elements not considered previously. Part three consists of annotated MATLAB programs implementing theory presented in Parts one and two.

Contributors

Author:
Eugene Wachspress

Further information

Illustrations Note:
80 schwarz-weiße Abbildungen, Bibliographie
remarks:

Stands as the only monograph examining theory for constructing interpolation functions for a general class of elements


Provides mathematicians working in algebraic geometry applications of deep concepts in that field


Reinforces understanding of basic concepts in approximation related to patchwork representation of physical systems


Serves as a reference for students in associated research areas, such as finite elements, animation, algebraic geometry, approximation theory, generalized barycentric coordinates


Maximizes reader knowledge of existing tools such as basis functions for standard finite element and graphics triangle and rectangle elements

Media Type:
Hardcover
Publisher:
Springer International Publishing
Language:
English
Number of Pages:
292

Master Data

Product Type:
Hardback book
Package Dimensions:
0.24 x 0.16 x 0.022 m; 0.72 kg
GTIN:
09783319216133
DUIN:
MRMBHL4KOQB
Manufacturer Part Number:
43001326
$164.59
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