
MultiResolution on the Sphere: MRS



Description 
MRS contains IDL routines for wavelet, ridgelet and curvelet transform on the sphere, and
applications such denoising on the sphere using wavelets and/or curvelets, Gaussianity tests
and Independent Component Analysis on the Sphere. MRS is based on two packages, IDL and
Healpix. MRS can be used only if these two packages have been installed.
MR/S software is included in the iSAP collection of packages.


Publications 
Papers related to the following experiments:
 P. Abrial, Y. Moudden, J.L. Starck,M.J. Fadili, J. Delabrouille, and M. Nguyen,
"CMB Data Analysis and Sparsity" , Statistical Methodology , Vol 5, No 4, pp 289298, 2008.
 P. Abrial, Y. Moudden, J.L. Starck, J. Bobin, M.J. Fadili, B. Afeyan and M. Nguyen,
"Morphological Component Analysis and Inpainting on the Sphere: Application in Physics and Astrophysics" ,
Journal of Fourier Analysis and Applications (JFAA), special issue on ``Analysis on the Sphere'', 13, 6, pp 729748, 2007.
 J.L Starck, Y. Moudden, P. Abrial and M. Nguyen,
"Wavelets, Ridgelets and Curvelets on the Sphere",
Astronomy and Astrophysics, 446, 11911204, 2006.
 J. Jin, J.L. Starck, D.L. Donoho, N. Aghanim and O. Forni,
"Cosmological nonGaussian Signature Detection: Comparing Performance
of Different Statistical Tests",
Eurasip Journal on Applied Signal Processing ,
2005, 15 pp 24702485, 2005.
 J.L. Starck, N. Aghanim and O. Forni,
"Detecting Cosmological nonGaussian Signatures by Multiscale Methods" ,
Astronomy and Astrophysics , 416, 917, 2004.


MRS Experiments 
Experiments relative to the MRS package:.
Multiscale Decomposition on the Sphere
Denoising on the Sphere
NonGaussianity detection on the Sphere
 



