Compressive sensing for digital holographic interferometry

B. Deepan; C. Quan; C. J. Tay

doi:10.1117/12.2055054

2 June 2014 Compressive sensing for digital holographic interferometry

B. Deepan, C. Quan, C. J. Tay

Proceedings Volume 9234, International Conference on Experimental Mechanics 2013 and Twelfth Asian Conference on Experimental Mechanics; 923419 (2014) https://doi.org/10.1117/12.2055054
Event: International Conference on Experimental Mechanics 2013 and the Twelfth Asian Conference on Experimental Mechanics, 2013, Bangkok, Thailand

Abstract

Compressive sensing (CS) is one of the latest signal processing techniques, which facilitates to reconstruct a complete signal from a small number of randomly chosen signal samples. It has been shown that CS can be applied successfully in digital holography. In this paper, a novel approach has been suggested for holographic reconstruction using CS technique for determining displacement and its derivative maps. Off-axis lensless Fourier holography configuration is used to capture a digital hologram and only Fourier transform is used for phase retrieval. Hence the Fourier transform is used as a CS operator in the proposed method and NESTA algorithm is used for signal reconstruction. Speckle noise should be filtered from phase maps for phase unwrapping process. Filtering speckle noise for the phase maps with high fringe density is not a better solution because high density fringes will be worn out while filtering. However, the method suggested in this paper is able to produce super resolution displacement and derivative maps using CS, which overcomes the problem due to high density fringes. In super resolution phase maps, the fringe density will be reduced due to increasing in pixel count. Experimental results demonstrate that the proposed method is able to determine super resolution displacement and derivative maps effectively.

Citation Download Citation

B. Deepan, C. Quan, and C. J. Tay "Compressive sensing for digital holographic interferometry", Proc. SPIE 9234, International Conference on Experimental Mechanics 2013 and Twelfth Asian Conference on Experimental Mechanics, 923419 (2 June 2014); https://doi.org/10.1117/12.2055054

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