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Reconstruction of holographic microscopy images based on matching pursuits on a pair of domains

Suksmono A.B.a, Hirose A.b

a School of Electrical Engineering and Informatics, Institut Teknologi Bandung, Bandung, 40132, Indonesia
b Department of Electrical Engineering and Information Systems, The University of Tokyo, Japan

Abstract

© 2016, School of Electrical Engineering and Informatics. All rights reserved.We propose a new reconstruction method of an object image from its digital hologram. The proposed matching pursuit on a pair of domains (MPPD) method employs spatial-domain bases and their (Fresnel) transform-domain pair. The transform domain bases are used to decompose the hologram, which yield a set of coefficients. Then, these coefficients are used to reconstruct the spatial-domain object image using the predefined spatial bases. We show the robustness of the proposed method against noise on a simulated hologram of spherical particles. By employing spatial-domain Gaussian bases and its transform pair, the image of these particles are recovered successfully. A possibility to extend the 2D (twodimensional) case to a 3D (three-dimensional) one for slice reconstruction from a single hologram is also explored. The effectiveness of the proposed method is demonstrated by using a real microscopic-hologram of silica gel spherical particles, which shows promising results.

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