A total variable-order variation model for image denoising

Abdelilah Hakim; Anouar Ben-Loghfyry

doi:10.3934/math.2019.5.1320

AIMS Mathematics, 2019, 4(5): 1320-1335. doi: 10.3934/math.2019.5.1320. Research article

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A total variable-order variation model for image denoising

Abdelilah Hakim, Anouar Ben-Loghfyry

LAMAI laboratory, university of Cadi Ayyad, Faculty of sciences and technology, Marrakesh, Morocco

Received: , Accepted: , Published:

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In this paper,we explore a new variational model based on the fractional derivative and total variation.Due to some metrics,our approach shows great results compared to other competitive models.In particular,deleting the noise and preserving edges,features and corners are headlights to our approach.For the fractional variable-order derivatives,different discretizations were presented to comparison.The theoretical results are validated by the Primal Dual Projected Gradient (PDPG) Algorithm which is well adapted to the fractional calculus.

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Keywords: fractional derivative; total variation; image denoising; primal dual; finite difference

Citation: Abdelilah Hakim, Anouar Ben-Loghfyry. A total variable-order variation model for image denoising. AIMS Mathematics, 2019, 4(5): 1320-1335. doi: 10.3934/math.2019.5.1320

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