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Journal Publication

Regularized non-convex image reconstruction in digital holographic microscopy

This publication appears in: Optics Express

Authors: C. Schretter, D. Blinder, S. Bettens, H. Ottevaere and P. Schelkens

Volume: 25

Issue: 14

Pages: 16491-16508

Publication Year: 2017


Abstract:

Inverse problem approaches for image reconstruction can improve resolution recovery over spatial filtering methods while reducing interference artifacts in digital off-axis holography. Prior works implemented explicit regularization operators in the image space and were only able to match intensity measurements approximatively. As a consequence, convergence to a strictly compatible solution was not possible. In this paper, we replace the non-convex image recon- struction problem for a sequence of surrogate convex problems. An iterative numerical solver is designed using a simple projection operator in the data domain and a Nesterov acceleration of the simultaneous Kaczmarz method. For regularization, the complex-valued object wavefield image is represented in the multiresolution CDF 9/7 wavelet domain and an energy-weighted preconditioning promotes minimum-norm solutions. Experiments demonstrate improved resolu- tion recovery and reduced spurious artifacts in reconstructed images. Furthermore, the method is resilient to additive Gaussian noise and subsampling of intensity measurements.

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Dr. Colas Schretter

+32 (0)02 629 167

cschrett@etrovub.be

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Mr. David Blinder

+32 (0)02 629 169

dblinder@etrovub.be

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Prof. Dr. Ir. Peter Schelkens

+32 (0)02 629 168

pschelke@etrovub.be

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