English

Adaptive parameter selection for weighted-TV image reconstruction problems

Optimization and Control 2020-05-20 v1

Abstract

We propose an efficient estimation technique for the automatic selection of locally-adaptive Total Variation regularisation parameters based on an hybrid strategy which combines a local maximum-likelihood approach estimating space-variant image scales with a global discrepancy principle related to noise statistics. We verify the effectiveness of the proposed approach solving some exemplar image reconstruction problems and show its outperformance in comparison to state-of-the-art parameter estimation strategies, the former weighting locally the fit with the data (Dong et al. '11), the latter relying on a bilevel learning paradigm (Hinterm\"uller et al., '17)

Keywords

Cite

@article{arxiv.1905.11264,
  title  = {Adaptive parameter selection for weighted-TV image reconstruction problems},
  author = {Luca Calatroni and Alessandro Lanza and Monica Pragliola and Fiorella Sgallari},
  journal= {arXiv preprint arXiv:1905.11264},
  year   = {2020}
}
R2 v1 2026-06-23T09:26:47.110Z