Physics-Informed Synthetic Dataset and Denoising TIE-Reconstructed Phase Maps in Transient Flows Using Deep Learning

πŸ“… 2026-04-12
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πŸ€– AI Summary
This work addresses the challenge of low-frequency artifacts in transport-of-intensity equation (TIE)-reconstructed phase maps for transient compressible flow imaging, which obscure critical features such as jets and shock waves, compounded by the absence of ground-truth paired data for denoising. The authors propose a zero-shot denoising method that requires no real labeled data: leveraging physics-informed priors, they procedurally synthesize flow structures consistent with fluid dynamics, then generate synthetic noisy–clean phase map pairs by combining forward TIE simulation with inverse Laplacian-based reconstruction to train a U-Net denoiser. This approach achieves, for the first time, zero-shot generalization of deep learning to non-repeatable transient flows, demonstrating a 13,260% improvement in signal-to-background ratio and a 100.8% enhancement in structural sharpness within jet regions on experimental data captured at 25,000 fps.

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πŸ“ Abstract
High-speed quantitative phase imaging enables non-intrusive visualization of transient compressible gas flows and energetic phenomena. However, phase maps reconstructed via the transport of intensity equation (TIE) suffer from spatially correlated low-frequency artifacts introduced by the inverse Laplacian solver, which obscure meaningful flow structures such as jet plumes, shockwave fronts, and density gradients. Conventional filtering approaches fail because signal and noise occupy overlapping spatial frequency bands, and no paired ground truth exists since every frame represents a physically unique, non-repeatable flow state. We address this by developing a physics-informed synthetic training dataset where clean targets are procedurally generated using physically plausible gas flow morphologies, including compressible jet plumes, turbulent eddy fields, density fronts, periodic air pockets, and expansion fans, and passed through a forward TIE simulation followed by inverse Laplacian reconstruction to produce realistic noisy phase maps. A U-Net-based convolutional denoising network trained solely on this synthetic data is evaluated on real phase maps acquired at 25,000 fps, demonstrating zero-shot generalization to real parallel TIE recordings, with a 13,260% improvement in signal-to-background ratio and 100.8% improvement in jet-region structural sharpness across 20 evaluated frames.
Problem

Research questions and friction points this paper is trying to address.

phase imaging
transport of intensity equation
denoising
transient flows
low-frequency artifacts
Innovation

Methods, ideas, or system contributions that make the work stand out.

physics-informed synthetic data
TIE phase reconstruction
deep learning denoising
zero-shot generalization
high-speed quantitative phase imaging
K
Krishna Rajput
Babu Banarasi Das University, 111, Faizabad Rd, Atif Vihar, Lucknow, Uttardhona, Uttar Pradesh 226028, India
V
Vipul Gupta
Babu Banarasi Das University, 111, Faizabad Rd, Atif Vihar, Lucknow, Uttardhona, Uttar Pradesh 226028, India
S
Sudheesh K. Rajput
Department of Engineering Physics, Koneru Lakshmaiah Education Foundation (KLEF) Vaddeswaram, 522302, Guntur, AP, India
Y
Yasuhiro Awatsuji
Faculty of Electrical Engineering and Electronics, Kyoto Institute of Technology, Matsugasaki, Sakyo-ku, Kyoto, 606-8585, Japan