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

ISBN-13: 9783319372204 / Angielski / Miękka / 2016 / 292 str.

Eugene Wachspress

Opis

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.

Spis treści

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