20 February 2018 Accurate reconstruction in digital holographic microscopy using Fresnel dual-tree complex wavelet transform
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Digital holography is a promising measurement method in the fields of bio-medicine and micro-electronics. But the captured images of digital holography are severely polluted by the speckle noise because of optical scattering and diffraction. Via analyzing the properties of Fresnel diffraction and the topographies of micro-structures, a novel reconstruction method based on the dual-tree complex wavelet transform (DT-CWT) is proposed. This algorithm is shiftinvariant and capable of obtaining sparse representations for the diffracted signals of salient features, thus it is well suited for multiresolution processing of the interferometric holograms of directional morphologies. An explicit representation of orthogonal Fresnel DT-CWT bases and a specific filtering method are developed. This method can effectively remove the speckle noise without destroying the salient features. Finally, the proposed reconstruction method is compared with the conventional Fresnel diffraction integration and Fresnel wavelet transform with compressive sensing methods to validate its remarkable superiority on the aspects of topography reconstruction and speckle removal.
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Xiaolei Zhang, Xiaolei Zhang, Xiangchao Zhang, Xiangchao Zhang, He Yuan, He Yuan, Hao Zhang, Hao Zhang, Min Xu, Min Xu, "Accurate reconstruction in digital holographic microscopy using Fresnel dual-tree complex wavelet transform", Proc. SPIE 10697, Fourth Seminar on Novel Optoelectronic Detection Technology and Application, 106974A (20 February 2018); doi: 10.1117/12.2307285; https://doi.org/10.1117/12.2307285

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