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Multiresolution Analysis on Irregular Surface Meshes
October-December 1998 (vol. 4 no. 4)
pp. 365-378
ASCII Text
x 
 
Georges-Pierre Bonneau, "Multiresolution Analysis on Irregular Surface Meshes," IEEE Transactions on Visualization and Computer Graphics, vol. 4, no. 4, pp. 365-378, October-December, 1998.
 
 
BibTex
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@article{ 10.1109/2945.765329,
author = {Georges-Pierre Bonneau},
title = {Multiresolution Analysis on Irregular Surface Meshes},
journal ={IEEE Transactions on Visualization and Computer Graphics},
volume = {4},
number = {4},
issn = {1077-2626},
year = {1998},
pages = {365-378},
doi = {http://doi.ieeecomputersociety.org/10.1109/2945.765329},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Visualization and Computer Graphics
TI - Multiresolution Analysis on Irregular Surface Meshes
IS - 4
SN - 1077-2626
SP365
EP378
EPD - 365-378
A1 - Georges-Pierre Bonneau,
PY - 1998
KW - Wavelets
KW - nonregular triangulations
KW - compression
KW - visualization.
VL - 4
JA - IEEE Transactions on Visualization and Computer Graphics
ER -
 

Abstract—Wavelet-based methods have proven their efficiency for the visualization at different levels of detail, progressive transmission, and compression of large data sets. The required core of all wavelet-based methods is a hierarchy of meshes that satisfies subdivision-connectivity: This hierarchy has to be the result of a subdivision process starting from a base mesh. Examples include quadtree uniform 2D meshes, octree uniform 3D meshes, or 4-to-1 split triangular meshes. In particular, the necessity of subdivision-connectivity prevents the application of wavelet-based methods on irregular triangular meshes. In this paper, a "wavelet-like" decomposition is introduced that works on piecewise constant data sets over irregular triangular surface meshes. The decomposition/reconstruction algorithms are based on an extension of wavelet-theory allowing hierarchical meshes without subdivision-connectivity property. Among others, this approach has the following features: It allows exact reconstruction of the data set, even for nonregular triangulations, and it extends previous results on Haar-wavelets over 4-to-1 split triangulations.

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Index Terms:
Wavelets, nonregular triangulations, compression, visualization.
Citation:
Georges-Pierre Bonneau, "Multiresolution Analysis on Irregular Surface Meshes," IEEE Transactions on Visualization and Computer Graphics, vol. 4, no. 4, pp. 365-378, Oct.-Dec. 1998, doi:10.1109/2945.765329
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