Special Section on Speckle-Based Metrology

Filter for speckle noise reduction based on compressive sensing

[+] Author Affiliations
Thibault Leportier, Min-Chul Park

Korea University of Science and Technology, Department of HCI and Robotics, Hwarangno 14-gil 5, Seongbuk-gu, Seoul 136-791, Republic of Korea

Korea Institute of Science and Technology, Center of Opto-Electronic Materials and Devices, Hwarangno 14-gil 5, Seongbuk-gu, Seoul 136-791, Republic of Korea

Opt. Eng. 55(12), 121724 (Aug 22, 2016). doi:10.1117/1.OE.55.12.121724
History: Received April 28, 2016; Accepted August 1, 2016
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Abstract.  In holographic reconstruction, speckle noise is a serious factor that may degrade the image quality greatly. Several methods have been proposed, so far, to filter speckle from hologram reconstruction. The first approach is based on averaging several speckle patterns. The second solution is to apply a filter on the reconstructed image. In the first case, several holograms should be acquired, while compromise between speckle reduction and edge preservation is usually a challenge in the case of digital filtering. We propose a method to filter speckle noise based on compressive sensing (CS). CS is a method that has been demonstrated recently to reconstruct images with a sampling inferior to the Nyquist rate. By applying several times the CS algorithm on the hologram reconstruction with different initial downsampling, several versions of the same images can be reconstructed with slightly different speckle patterns. Then, speckle noise can be greatly decreased while preserving sharpness of the image. We demonstrate the effectiveness of our proposed method with simulations as well as with holograms acquired by phase-shifting method.

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© 2016 Society of Photo-Optical Instrumentation Engineers

Citation

Thibault Leportier and Min-Chul Park
"Filter for speckle noise reduction based on compressive sensing", Opt. Eng. 55(12), 121724 (Aug 22, 2016). ; http://dx.doi.org/10.1117/1.OE.55.12.121724


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