4 August 2022 Phase retrieval method based on the transport of intensity equation and the threshold duty ratio
Hong Cheng, Li Wang, Ju Li, Yu Chen, Bangling Xiong
Author Affiliations +
Abstract

When cells are observed with a microscope, the phase information for the sample is usually obtained from the acquired intensity images using the transport of intensity equation (TIE). However, to solve the TIE, it is necessary to obtain an in-focus image. The accuracy and speed of focus positioning affect the accuracy and time of phase retrieval. We propose a fast phase retrieval method based on the TIE and the threshold duty ratio. We first perform pixel reduction on a series of acquired intensity images, and these images are segmented using the optimal threshold to calculate the threshold duty ratios. The original image corresponding to the minimum threshold duty ratio is the optimal focus image. Finally, the optimal in-focus image and related defocused images are used to solve for the phase of the sample using the TIE under the boundary conditions. The correlation coefficient for the results of the simulation experiment reached 0.9317. In a microlens array experiment, the relative error between the results from our algorithm and the actual value was only 7.1%, thus, proving the correctness and effectiveness of the proposed method.

© 2022 Society of Photo-Optical Instrumentation Engineers (SPIE)
Hong Cheng, Li Wang, Ju Li, Yu Chen, and Bangling Xiong "Phase retrieval method based on the transport of intensity equation and the threshold duty ratio," Optical Engineering 61(8), 083101 (4 August 2022). https://doi.org/10.1117/1.OE.61.8.083101
Received: 14 March 2022; Accepted: 20 July 2022; Published: 4 August 2022
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KEYWORDS
Phase retrieval

Image segmentation

Microscopes

Optical engineering

Microlens array

Computer simulations

Image processing

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