BIOMEDICAL IMAGING GROUP (BIG)
Laboratoire d'imagerie biomédicale (LIB)

Phase Retrieval by Using Transport-of-Intensity Equation and Differential Interference Contrast Microscopy

E. Bostan, E. Froustey, B. Rappaz, É. Shaffer, D. Sage, M. Unser

Proceedings of the 2014 Twenty-First IEEE International Conference on Image Processing (ICIP'14), Paris, French Republic, October 27-30, 2014, pp. 3939–3943.

We present a variational reconstruction algorithm for the phase-retrieval problem by using the differential interference contrast microscopy. Principally, we rely on the transport-of-intensity equation that specifies the sought phase as the solution of a partial differential equation. Our approach is based on an iterative reconstruction algorithm involving the total variation regularisation which is efficiently solved via the alternating direction method of multipliers. We illustrate the applicability of the method via real data experiments. To the best of our knowledge, this work demonstrates the performance of such an iterative algorithm on real data for the first time. 

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/bostan1401.html,
AUTHOR="Bostan, E. and Froustey, E. and Rappaz, B. and Shaffer, {\'{E}}.
	and Sage, D. and Unser, M.",
TITLE="Phase Retrieval by Using Transport-of-Intensity Equation and
	Differential Interference Contrast Microscopy",
BOOKTITLE="Proceedings of the 2014 Twenty-First {IEEE} International
	Conference on Image Processing ({ICIP'14})",
YEAR="2014",
editor="",
volume="",
series="",
pages="3939--3943",
address="Paris, French Republic",
month="October 27-30,",
organization="",
publisher="",
note="")

© 2014 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from IEEE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.