NDLI: Framework for visualizing higher-order basis functions

Content Provider	IEEE Xplore Digital Library
Author	Schroeder, W.J. Bertel, F. Malaterre, M. Thompson, D. Pebay, P.P. O'Barall, R. Saurabh Tendulkar
Copyright Year	2005
Abstract	Techniques in numerical simulation such as the finite element method depend on basis functions for approximating the geometry and variation of the solution over discrete regions of a domain. Existing visualization systems can visualize these basis functions if they are linear, or for a small set of simple non-linear bases. However, newer numerical approaches often use basis functions of elevated and mixed order or complex form; hence existing visualization systems cannot directly process them. In this paper we describe an approach that supports automatic, adaptive tessellation of general basis functions using a flexible and extensible software architecture in conjunction with an on demand, edge-based recursive subdivision algorithm. The framework supports the use of functions implemented in external simulation packages, eliminating the need to reimplement the bases within the visualization system. We demonstrate our method on several examples, and have implemented the framework in the open-source visualization system VTK.
Starting Page	43
Ending Page	50
File Size	5368226
Page Count	8
File Format	PDF
ISBN	0780394623
DOI	10.1109/VISUAL.2005.1532776
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-10-23
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Finite element methods Geometry Packaging Data visualization Numerical simulation Computational modeling Spline Software architecture Software algorithms Open source software
Content Type	Text
Resource Type	Article

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