Multichannel Poisson denoising and deconvolution on the sphere: application to the Fermi Gamma-ray Space Telescope

@article{Schmitt2012MultichannelPD,
  title={Multichannel Poisson denoising and deconvolution on the sphere: application to the Fermi Gamma-ray Space Telescope},
  author={Jeremy Schmitt and Jean-Luc Starck and Jean Marc Casandjian and Jalal M. Fadili and Isabelle A. Grenier},
  journal={Astronomy and Astrophysics},
  year={2012},
  volume={546}
}
A multiscale representation-based denoising method for spherical data contaminated with Poisson noise, the multiscale variance stabilizing transform on the sphere (MS-VSTS), has been recently proposed. This paper first extends this MS-VSTS to spherical 2D-1D, where the two first dimensions are longitude and latitude, and the third dimension is a meaningful physical index such as energy or time. Then we introduce a novel multichannel deconvolution built upon the 2D-1D MS-VSTS, which allows to… 
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