ELECTRO-OPTICS  LABORATORY

Department of Electrical and Computer Engineering

Quantitative Phase Imaging From Single-Direction Gradients Based on U-KAN and Orthogonal Shear Learning

Yuheng Wang, Tao Wu, Tao Huang, Huiyang Wang, Weina Zhang, Jianglei Di, Joseph Rosen, Xiaoxu Lu, Liyun Zhong, Yuwen Qin

Differential interference contrast microscopy (DIC) plays an irreplaceable role in live-cell dynamic studies due to its non-destructive, high-contrast, and 3D imaging capabilities. However, traditional DIC captures only single-direction gradients, causing orthogonal gradients loss and limiting quantitative phase imaging and anisotropy analysis. Here, we propose an orthogonal shear learning U-KAN (OSLU-KAN) architecture for single-direction phase gradient-based quantitative phase imaging. This method integrates highly interpretable Kolmogorov-Arnold networks (KAN) into the U-Net framework, efficiently learning to predict orthogonal phase gradients from single-direction gradients. By combining a physics-driven spiral phase integration (SPI) model and a highly compatible Fourier loss function, this method achieves fast, high-precision, and artifact-free phase reconstruction. Experimental results show an RMSE of 0.913 mrad/µm for orthogonal gradient prediction and 0.0103 rad for phase reconstruction. Importantly, OSLU-KAN enables accurate phase retrieval and anisotropic phase gradients estimation, with excellent compatibility and generalization capabilities, providing a new interpretable, physics-informed paradigm for deep learning-driven quantitative phase imaging.

Publication language English
Journal Laser and Photonics Reviews
Volume 20
Issue number 11
Publication status Published - 05.06.2026
e03196

Keywords

U-KAN
deep learning
differential interference contrast
quantitative phase imaging

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Atomic and Molecular Physics, and Optics
Condensed Matter Physics
Access to Document
10.1002/lpor.202503196
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