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Toolbox Wavelets on Meshes

version 1.2.0.0 (4.03 MB) by Gabriel Peyre
A toolbox to compute wavelet transform on 3D meshes

7K Downloads

Updated 27 Jun 2009

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Toolbox Wavelets on Meshes - wavelet transform on 3D meshes

This toolbox allows to compute the wavelet transform of a function defined on semi-regular triangulation. For instance it allows to compute
* wavelet transform of a function defined on the sphere, one this function has been sampled on a 4:1 subdivided tetrahedron.
* wavelet transform of a function defined on a 4:1 subdivided coarse triangulation.
* wavelet transform of a semi-regula meshes, viewed as 3 functions defined on a 4:1 subdivided coarse triangulation.

The wavelet transform is implemented using the lifting scheme, as described in
Peter Schrodder and Wim Sweldens
Spherical Wavelets: Efficiently Representing Functions on the Sphere
Siggraph 95

This toolbox also allows to compute a semi-regular triangular subdivision surface using Loop and Butterfly stencils.

There are helper functions to create multiresolution spherical meshes, to load a semi-regular mesh from a geometry image, and to display function on sphere and on meshes.

This toolbox is still experimental. Only a lifted wavelet using a butterfly sub-division is implemented - more to come soon (including Loop wavelets).

Copyright (c) 2007 Gabriel Peyre

Cite As

Gabriel Peyre (2021). Toolbox Wavelets on Meshes (https://www.mathworks.com/matlabcentral/fileexchange/17577-toolbox-wavelets-on-meshes), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
Windows macOS Linux

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