Improvement of Fresnel Diffraction Convolution Algorithm

With the development of digital holography, the accuracy requirements for the reconstruction phase are becoming increasingly high. The transfer function of the double fast transform (D-FFT) algorithm is distorted when the diffraction distance is larger than the criterion distance dt, which reduces t...

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Bibliographic Details
Published in:Applied sciences Vol. 14; no. 9; p. 3632
Main Authors: Ge, Cong, Song, Qinghe, Caiyang, Weinan, Gui, Jinbin, Li, Junchang, Qian, Xiaofan, Li, Qian, Dang, Haining
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.05.2024
Subjects:
Algorithms
Fourier transforms
Fresnel diffraction convolution
limitation of diffraction distance
Lung cancer
ringing effect
Tukey window
under-sampling effect
ISSN:2076-3417, 2076-3417
Online Access:Get full text
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Summary:With the development of digital holography, the accuracy requirements for the reconstruction phase are becoming increasingly high. The transfer function of the double fast transform (D-FFT) algorithm is distorted when the diffraction distance is larger than the criterion distance dt, which reduces the accuracy of solving the phase. In this paper, the Fresnel diffraction integration algorithm is improved by using the low-pass Tukey window to obtain more accurate reconstructed phases. The improved algorithm is called the D-FFT (Tukey) algorithm. The D-FFT (Tukey) algorithm adjusts the degree of edge smoothing of the Tukey window, using the peak signal-to-noise ratio (PSNR) and the structural similarity (SSIM) to remove the ringing effect and obtain a more accurate reconstructed phase. In a simulation of USAF1951, the longitudinal resolution of the reconstructed phase obtained by D-FFT (Tukey) reached 1.5 μm, which was lower than the 3 μm obtained by the T-FFT algorithm. The results of Fresnel holography experiments on lung cancer cell slices also demonstrated that the phase quality obtained by the D-FFT (Tukey) algorithm was superior to that of the T-FFT algorithm. D-FFT (Tukey) algorithm has potential applications in phase correction, structured illumination digital holographic microscopy, and microscopic digital holography.
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content type line 14
ISSN:2076-3417
2076-3417
DOI:10.3390/app14093632