A comparison of edge-preserving approaches for differential interference contrast microscopy

Simone Rebegoldi 1 Lola Bautista 2, 3 Laure Blanc-Féraud 3 Marco Prato 1 Luca Zanni 1 Arturo Plata 2
3 MORPHEME - Morphologie et Images
CRISAM - Inria Sophia Antipolis - Méditerranée , IBV - Institut de Biologie Valrose : U1091, Laboratoire I3S - SIS - Signal, Images et Systèmes
Abstract : In this paper we address the problem of estimating the phase from color images acquired with differential–interference–contrast microscopy. In particular, we consider the nonlinear and nonconvex optimization problem obtained by regularizing a least–squares–like discrepancy term with an edge–preserving functional, given by either the hypersurface potential or the total variation one. We investigate the analytical properties of the resulting objective functions, proving the existence of minimum points, and we propose effective optimization tools able to obtain in both the smooth and the nonsmooth case accurate reconstructions with a reduced computational demand. AMS classification scheme numbers: 65K05, 90C30, 90C90
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Simone Rebegoldi, Lola Bautista, Laure Blanc-Féraud, Marco Prato, Luca Zanni, et al.. A comparison of edge-preserving approaches for differential interference contrast microscopy. Inverse Problems, IOP Publishing, 2017, ⟨10.1088/1361-6420/aa790a⟩. ⟨hal-01568695⟩

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