Nonconvex Optimization for Diffractive Imaging

Y. Ma; H. Mansour; D. Liu; P. T. Boufounos; U. S. Kamilov

doi:10.1364/MATH.2018.MW5D.3

Imaging and Applied Optics 2018 (3D, AO, AIO, COSI, DH, IS, LACSEA, LS&C, MATH, pcAOP)
OSA Technical Digest (Optica Publishing Group, 2018),
paper MW5D.3
•https://doi.org/10.1364/MATH.2018.MW5D.3

Nonconvex Optimization for Diffractive Imaging

Y. Ma, H. Mansour, D. Liu, P. T. Boufounos, and U. S. Kamilov

Mathematics in Imaging 2018

Orlando, Florida United States
25–28 June 2018
ISBN: 978-1-943580-44-6

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Model-based Imaging (MW5D)

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Y. Ma, H. Mansour, D. Liu, P. T. Boufounos, and U. S. Kamilov, "Nonconvex Optimization for Diffractive Imaging," in Imaging and Applied Optics 2018 (3D, AO, AIO, COSI, DH, IS, LACSEA, LS&C, MATH, pcAOP), OSA Technical Digest (Optica Publishing Group, 2018), paper MW5D.3.

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Abstract

Image reconstruction under multiple scattering of light is often formulated as a nonconvex optimization problem. We describe a new optimization method for image reconstruction under multiple scattering based on a new convergent variant of the popular fast iterative shrinkage/thresholding algorithm (FISTA). The proposed method is suitable for sparsity-driven diffraction tomography where multiple scattering cannot be neglected.

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