Title :
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
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;
Conference_Titel :
Visualization '98. Proceedings
Conference_Location :
Research Triangle Park, NC, USA
Print_ISBN :
0-8186-9176-X
DOI :
10.1109/VISUAL.1998.745318
