Integration with one partial derivative applied to quantitative phase imaging

M. Fernández Lakatos; Gastón A. Ayubi; Erna Frins

doi:10.1117/12.3000403

12 March 2024 Integration with one partial derivative applied to quantitative phase imaging

M. Fernández Lakatos, Gastón A. Ayubi, Erna Frins

Proceedings Volume 12852, Quantitative Phase Imaging X; 128520F (2024) https://doi.org/10.1117/12.3000403
Event: SPIE BiOS, 2024, San Francisco, California, United States

Conference Poster

Abstract

In many quantitative phase imaging techniques, phase reconstruction is achieved by integrating information from two-dimensional gradient field. Although using both derivatives gives high-quality results, the acquisition time must be evenly distributed between each derivative. To minimize this time, we use a method that integrates from a single derivative. The challenge when integrating with only one derivative is the lack of information about the derivative in the orthogonal direction. To address this, a regularization parameter was introduced. By dealing with biological samples, we can have prior knowledge that ensures the absence of singularities in the perpendicular direction, justifying the introduction of this parameter. Our objective is to find a solution that minimizes the integration along the direction of the obtained derivative while simultaneously minimizing the norm of the derivative in the orthogonal direction using the introduced parameter. This allows us to perform integration without knowing one of the derivatives. Our method reduces processing time by utilizing Fourier properties, which are computationally efficient. We conclude that both the acquisition and processing time are reduced by not acquiring the derivative in one direction and utilizing Fourier properties for integration. We present experimental results showing the viability and potential of our proposal.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

M. Fernández Lakatos, Gastón A. Ayubi, and Erna Frins "Integration with one partial derivative applied to quantitative phase imaging", Proc. SPIE 12852, Quantitative Phase Imaging X, 128520F (12 March 2024); https://doi.org/10.1117/12.3000403

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