A. Gerussi: MRA

Non-Nested Multiresolution Analysis

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Overview: Most of the work presented here was done during my PhD Thesis at the LMC-IMAG, Joseph Fourier university in Grenoble, France. The main topic of the thesis is the use of wavelet techniques for level-of-detail visualization of complex functions defined over triangulations. One of the contribution of this work is the definition of the Non-Nested Multiresolution Analysis setting, which provides a MR framework where the scaling spaces don't need to be nested, as opposed to classical MRA. This makes it possible to handle highly non-regular triangulations which do not have subdivision connectivity.
The thesis and some of the related papers are available below.
Keywords: wavelets, multiresolution analysis, approximation, visualization, triangular meshes, subdivision schemes.

	Analyse Multirésolution Non Emboîtée: Applications à la visualisation scientifique. Alexandre Gerussi, PhD thesis in Applied Mathematics, LMC-IMAG, Joseph Fourier university, Grenoble, France, december 2000, 160 pages. Abstract in english, in french Slides of the talk (.ps.gz, 5.6Mb) Thesis (.ps.gz, 10Mb)
	Analysis of Scalar Data on Multiresolution Geometric Models. Alexandre Gerussi, Georges-Pierre Bonneau, Curve and Surface Fitting; St Malo 99, Albert Cohen, Christophe Rabut, and Larry L. Schumaker (eds.), Vanderbilt University Press, Nashville, TN, ISBN 0-8265-1357-3, p. 209-218, 2000 (with a talk given at the 4th international conference Curves And Surfaces, Saint-Malo, 1-7 July 1999.) Abstract Paper (.ps.gz, 1.6 Mb)
	Level of detail visualization of scalar data sets on irregular surface meshes. Georges-Pierre Bonneau, Alexandre Gerussi, IEEE Visualization'98 Conference Proceedings, p. 73-77, IEEE Computer Society Press, 1998. Abstract Paper (.ps.gz, 300 Kb) Color plates (.ps.gz, 900 Kb)
	Hierarchical decomposition of datasets on irregular surface meshes. Georges-Pierre Bonneau, Alexandre Gerussi, Computer Graphics International'98 Conference Proceedings, p. 59-63, IEEE Computer Society Press, 1998. (with a talk at the conference) Abstract Paper (.ps.gz, 1.1Mb) Slides of the talk (.ps.gz, 2Mb)

Last update: April 24, 2001