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

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-preservi...

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Bibliographic Details
Published in:Inverse problems 2017-08, Vol.33 (8), p.85009
Main Authors: Rebegoldi, S, Bautista, L, Blanc-Féraud, L, Prato, M, Zanni, L, Plata, A
Format: Article
Language:English
Subjects:
DIC microscopy
Engineering Sciences
Mathematics
nonlinear optimization methods
Numerical Analysis
Optics
Optimization and Control
phase estimation
Photonic
Signal and Image processing
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Summary: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.
ISSN:0266-5611
1361-6420
DOI:10.1088/1361-6420/aa790a