Image Compression Through a Projection onto a Polyhedral Set

  • Authors:
  • F. Malgouyres

  • Affiliations:
  • LAGA/L2TI, Université Paris 13, Villetaneuse, France 93430

  • Venue:
  • Journal of Mathematical Imaging and Vision
  • Year:
  • 2007

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Abstract

In image denoising, many researchers have tried for several years to combine wavelet-like approaches and optimization methods (typically based on the total variation minimization). However, despite the well-known links between image denoising and image compression when solved with wavelet-like approaches, these hybrid image denoising methods have not found counterparts in image compression. This is the gap that this paper aims at filling. To do so, we provide a generalization of the standard image compression model. However, important numerical limitations still need to be addressed in order to make such models practical.