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Communication Dans Un Congrès Année : 2006

Constrained Total Variation Minimization for Solving Ill-posed Inverse problem in Fourier or Wavelet Domains

Résumé

Many ill-posed inverse problems in signal and image processing may be solved by minimizing the total variation of the data, subject to a constraint. By preserving sharp transitions, the total variation functional provides a probable solution while the constraint ensures that this solution satisfies all the conditions stated by the problem. When the constraint can be formulated in a transform domain, the transformation being linear and orthogonal, the approach may be implemented by a simple and fast algorithm. Examples involving Fourier and Wavelet transforms are presented in the context of JPEG restoration, super-resolution, computerized tomography and denoising via wavelet shrinkage.
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Dates et versions

hal-00907672 , version 1 (21-11-2013)

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  • HAL Id : hal-00907672 , version 1

Citer

Jacques Froment. Constrained Total Variation Minimization for Solving Ill-posed Inverse problem in Fourier or Wavelet Domains. Wavelets and Applications Semester, Jun 2006, Lausanne, Switzerland. ⟨hal-00907672⟩
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