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Title: Efficient fringe image enhancement based on dual-tree complex wavelet transform
Authors: Hsung, TC
Lun, PKD 
Ng, WWL
Issue Date: 20-Jul-2011
Source: Applied optics, 20 July 2011, v. 50, no. 21, p. 3973-3986
Abstract: In optical phase shift profilometry (PSP), parallel fringe patterns are projected onto an object and the deformed fringes are captured using a digital camera. It is of particular interest in real time threedimensional (3D) modeling applications because it enables 3D reconstruction using just a few image captures. When using this approach in a real life environment, however, the noise in the captured images can greatly affect the quality of the reconstructed 3D model. In this paper, a new image enhancement algorithm based on the oriented two-dimenional dual-tree complex wavelet transform (DT-CWT) is proposed for denoising the captured fringe images. The proposed algorithm makes use of the special analytic property of DT-CWT to obtain a sparse representation of the fringe image. Based on the sparse representation, a new iterative regularization procedure is applied for enhancing the noisy fringe image. The new approach introduces an additional preprocessing step to improve the initial guess of the iterative algorithm. Compared with the traditional image enhancement techniques, the proposed algorithm achieves a further improvement of 7:2 dB on average in the signal-to-noise ratio (SNR). When applying the proposed algorithm to optical PSP, the new approach enables the reconstruction of 3D models with improved accuracy from 6 to 20 dB in the SNR over the traditional approaches if the fringe images are noisy.
Keywords: Algorithms
Cameras
Image enhancement
Partial discharges
Signal to noise ratio
Three dimensional computer graphics
Tree (mathematics)
Wavelet transforms
Publisher: Optical Society of America
Journal: Applied optics 
ISSN: 1559-128X
EISSN: 2155-3165
DOI: 10.1364/AO.50.003973
Rights: © 2011 Optical Society of America. This paper was published in Applied Optics and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-21-3973. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
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