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
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
I want to implement the 3D wavelet on 3D mesh
I have meshes with (vertices(array(5197*3)) and faces(array(10390*3))) the vertices and faces aren't cell array as in toolbox "http://www.mathworks.com/matlabcentral/fileexchange/17577-toolbox-wavelets-on-meshes/content/toolbox_wavelet_meshes/html/content.html"
can you help me please
thanks in advance
Neat toolbox! Everything seems to work well except one thing. When the function titled 'perform_mesh_subdivision' is called to perform square-root-3 subdivision more than one time, it produces incorrect results; the resulting face-list references more vertices than are actually inserted during subdivision.
How to use this toolbox to multiresolution analysis a 3d mesh into a mesh coarse and the the wavelet coefficient vectors.
thanks for sharing !
Watching with interest :)
Thanks for your sharing.
Thank you for this useful script,
Could I apply this toolbox on free form shapes (3D sculptured surface) to find wavelet transform!
Really big works, I think it should be given the highest score!
Update of Licence
Added html help files.
Added support for subdivision surfaces
Added geometry images processing.