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Bicubic Subdivision-Surface Wavelets for Large-Scale Isosurface Representation and Visualization (2000)
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BibTeX
@MISC{Bertram00bicubicsubdivision-surface,
author = {Martin Bertram and Mark A. Duchaineau and Bernd Hamann and Kenneth I. Joy},
title = {Bicubic Subdivision-Surface Wavelets for Large-Scale Isosurface Representation and Visualization},
year = {2000}
}
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Abstract
We introduce a new subdivision-surface wavelet transform for arbitrary two-manifolds with boundary that is the first to use simple lifting-style filtering operations with bicubic precision. We also describe a conversion process for re-mapping large-scale isosurfaces to have subdivision connectivity and fair parameterizations so that the new wavelet transform can be used for compression and visualization. The main idea enabling our wavelet transform is the circular symmetrization of the filters in irregular neighborhoods, which replaces the traditional separation of filters into two 1-D passes. Our wavelet transform uses polygonal base meshes to represent surface topology, from which a Catmull-Clark-style subdivision hierarchy is generated. The details between these levels of resolution are quickly computed and compactly stored as wavelet coefficients. The isosurface conversion process begins with a contour triangulation computed using conventional techniques, which we subsequently simplify with a variant edge-collapse procedure, followed by an edge-removal process. This provides a coarse initial base mesh, which is subsequently refined, relaxed and attracted in phases to converge to the contour. The conversion is designed to produce smooth, untangled and minimally- skewed parameterizations, which improves the subsequent compression after applying the transform. We have demonstrated our conversion and transform for an isosurface obtained from a high-resolution turbulent-mixing hydrodynamics simulation, showing the potential for compression and level-of-detail visualization.
Keyphrases
large-scale isosurface representation bicubic subdivision-surface wavelet wavelet transform polygonal base mesh edge-removal process new subdivision-surface wavelet transform conventional technique surface topology coarse initial base mesh level-of-detail visualization skewed parameterizations subsequent compression fair parameterizations variant edge-collapse procedure contour triangulation high-resolution turbulent-mixing hydrodynamics simulation subdivision connectivity re-mapping large-scale isosurfaces catmull-clark-style subdivision hierarchy bicubic precision main idea traditional separation isosurface conversion process new wavelet transform irregular neighborhood circular symmetrization arbitrary two-manifolds conversion process wavelet coefficient 1-d pass
