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

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Wachspress, Eugene (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Subjects:
Engineering mathematics.
Engineering-Data processing.
Algebraic geometry.
Differential equations.
Computer graphics.
Mathematical and Computational Engineering Applications.
Algebraic Geometry.
Differential Equations.
Computer Graphics.
Online Access:Texto Completo
Table of Contents:
  • Part I
  • Theorems and lemmas
  • Chapter 1 Patchwork approximation in numerical analysis
  • Chapter 2 The quadrilateral
  • Chapter 3 Rational wedges for selected polycons
  • Chapter 4. Algebraic geometry foundations
  • Chapter 5 Rational wedge construction for polycons and polypols
  • Chapter 6 Approximation of higher degree
  • Chapter 7 Three-dimensional approximation
  • Chapter 8 A rational solution to an irrational problem
  • Chapter 9 Finite element discretization
  • Chapter 10 Two-level computation
  • Part II
  • Chapter 11. Two dimensions
  • Chapter 12. Higher dimensions
  • Chapter 13. Forty years after
  • Part III.- Chapter 14. Computer programs.

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