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.

A comparison of edge-preserving approaches for differential interference contrast microscopy / Rebegoldi S.; Bautista L.; Blanc-Feraud L.; Prato M.; Zanni L.; Plata A.. - In: INVERSE PROBLEMS. - ISSN 0266-5611. - ELETTRONICO. - 33:(2017), pp. 085009-085009. [10.1088/1361-6420/aa790a]

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

Rebegoldi S.
Membro del Collaboration Group
;
2017

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.
2017
33
085009
085009
Goal 9: Industry, Innovation, and Infrastructure
Rebegoldi S.; Bautista L.; Blanc-Feraud L.; Prato M.; Zanni L.; Plata A.
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1188727
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