Rational Bases And Generalized Barycentrics: Applications To Finite Elements And Graphics
by Eugene Wachspress /
2015 / English / PDF
14.7 MB Download
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.
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.