DISCRETE TRANSFINITE MAPPINGS FOR THE DESCRIPTION AND MESHING OF THREE-DIMENSIONAL SURFACES USING INTERACTIVE COMPUTER GRAPHICS.

Robert Haber, John F. Abel

Research output: Contribution to journalArticle

Abstract

A system for describing three-dimensional surfaces in a form suitable for finite element analysis is described. The system makes extensive use of real-time interactive computer graphics techniques for both input and display. Discrete transfinite mappings are used as the mathematical basis for the surface representation. The mathematical basis and the reasons for choosing this form of representation are discussed. Explicit forms of the mappings based on Lagrange polynomial interpolation functions are presented. Finally, the interactive graphics procedures for defining finite element meshes are described.

Original languageEnglish (US)
Pages (from-to)41-66
Number of pages26
JournalInternational Journal for Numerical Methods in Engineering
Volume18
Issue number1
StatePublished - Jan 1982

Fingerprint

Interactive computer graphics
Meshing
Computer graphics
Three-dimensional
Finite Element
Lagrange's polynomial
Interactive Graphics
Interpolation
Lagrange Interpolation
Interpolation Function
Polynomial Interpolation
Display devices
Polynomials
Polynomial function
Finite element method
Display
Mesh
Real-time
Form

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Computational Mechanics
  • Applied Mathematics

Cite this

DISCRETE TRANSFINITE MAPPINGS FOR THE DESCRIPTION AND MESHING OF THREE-DIMENSIONAL SURFACES USING INTERACTIVE COMPUTER GRAPHICS. / Haber, Robert; Abel, John F.

In: International Journal for Numerical Methods in Engineering, Vol. 18, No. 1, 01.1982, p. 41-66.

Research output: Contribution to journalArticle

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