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

Autor Eugene Wachspress
en Limba Engleză Hardback – 29 oct 2015
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.
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Specificații

ISBN-13: 9783319216133
ISBN-10: 3319216139
Pagini: 450
Ilustrații: XXI, 292 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.75 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Theoretical advances since 1975.- MATLAB programs and illustrative examples.- Concave elements and mean value coordinates.

Textul de pe ultima copertă

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.

Caracteristici

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