Wavelets over curvilinear grids

Author

Nielson, Gregory M. ; Jung, Il-Hong ; Sung, Junwon

Author_Institution

Dept. of Comput. Sci. & Eng., Arizona State Univ., Tempe, AZ, USA

fYear

1998

fDate

24-24 Oct. 1998

Firstpage

313

Lastpage

317

Abstract

We develop multiresolution models for analyzing and visualizing two-dimensional flows over curvilinear grids. Our models are based upon nested spaces of piecewise defined functions defined over nested curvilinear grid domains. The nested domains are selected so as to maintain the original geometry of the inner boundary. We first give the refinement and decomposition equations for Haar wavelets over these domains. Next, using lifting techniques we develop and show examples of piecewise linear wavelets over curvilinear grids.

Keywords

computational geometry; data visualisation; flow visualisation; piecewise linear techniques; wavelet transforms; 2D flow visualization; Haar wavelets; curvilinear grids; decomposition equations; geometry; lifting techniques; multiresolution models; nested domains; piecewise defined functions; refinement equations; two-dimensional flow visualization; Computer graphics; Computer science; Data visualization; Equations; Geometry; Image reconstruction; Maintenance engineering; Mathematical model; Piecewise linear techniques; Wavelet domain;

fLanguage

English

Publisher

ieee

Conference_Titel

Visualization '98. Proceedings

Conference_Location

Research Triangle Park, NC, USA

ISSN

1070-2385

Print_ISBN

0-8186-9176-X

Type

conf

DOI

10.1109/VISUAL.1998.745318

Filename

745318