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Volume Rendering on Non‐regular Grids
Author(s) -
Tabatabai Behnam,
Sessarego Emanuela A.,
Mayer Harald F.
Publication year - 1994
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/1467-8659.1330247
Subject(s) - rendering (computer graphics) , computer science , volume rendering , finite element method , computer graphics , graphics , computer graphics (images) , interpolation (computer graphics) , regular grid , algorithm , computational science , grid , mathematics , geometry , animation , physics , thermodynamics
In this article we present the principle methods for volumerendering of non‐regular grids as used in the Finite Element Method or the Method of Control Volumes. Besides linear element types, the methods discussed here also cover the handling of commonly used non‐linear element types but little considered in the Computer Graphics community. The very basic operation in the whole rendering process, namely the interpolation of the geometry and function values is fully based on the element type specific shape functions, ensuring a consistent mathematical treatment of the object in the sense of the underlying numerical simulation. We discuss the implications of this approach and propose optimizations justified by general assumptions on the qualify of the simulation model.