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Discrete transfinite mappings for the description and meshing of three‐dimensional surfaces using interactive computer graphics
Author(s) -
Haber Obert,
Abel John F.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620180105
Subject(s) - transfinite number , basis (linear algebra) , representation (politics) , computer graphics , computer science , interpolation (computer graphics) , computer graphics (images) , graphics , polygon mesh , finite element method , surface (topology) , algebra over a field , mathematics , animation , geometry , discrete mathematics , pure mathematics , physics , politics , political science , law , thermodynamics
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.