Resolution-aware U-Net with state-space and attention modeling for speckle denoising of wrapped phase maps in digital holography

Speckle noise severely degrades wrapped phase maps in digital holography by distorting fringes and obscuring phase-discontinuity information that is essential for subsequent quantitative analysis. Existing CNN-based methods are limited by their small receptive fields, whereas transformer-based methods often incur high computational cost at high resolution. To address these issues, we propose a resolution-aware U-Net framework for wrapped-phase despeckling. The framework selectively applies global modeling strategies according to the feature resolution at different stages. Specifically, state-space modeling is used in shallow high-resolution layers to preserve long-range fringe continuity under strong speckle noise, whereas self-attention is introduced in deep low-resolution layers to enhance global phase consistency. To handle the inherent 2 π phase discontinuities, we adopt a sine-cosine representation that simplifies network learning. Extensive experiments on both simulated holographic data and real digital holographic measurements demonstrate the effectiveness of the proposed method. Under the most challenging mixed-noise condition, namely a severe combination of coherent speckle and additive Gaussian noise with a standard deviation of up to 0.4 rad, the proposed method reduces RMSE by approximately 38% relative to the Swin-Transformer-based baseline, demonstrating strong robustness and practical value for wrapped-phase denoising.

Authors

Publication Details

Journal
Optics Express
Published
2026-04-15
DOI
https://doi.org/10.1364/oe.593392
Primary Topic
Digital Holography and Microscopy
Type
article
Field-Weighted Citation Impact
0.00
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article

Resolution-aware U-Net with state-space and attention modeling for speckle denoising of wrapped phase maps in digital holography

Y. F. Wang, Xiao Yang, Wangyuan Li, Yong Wang
Optics Express
Digital Holography and Microscopy
article

Resolution-aware U-Net with state-space and attention modeling for speckle denoising of wrapped phase maps in digital holography

Y. F. Wang, Xiao Yang, Wangyuan Li, Yong Wang
article en

Abstract

Speckle noise severely degrades wrapped phase maps in digital holography by distorting fringes and obscuring phase-discontinuity information that is essential for subsequent quantitative analysis. Existing CNN-based methods are limited by their small receptive fields, whereas transformer-based methods often incur high computational cost at high resolution. To address these issues, we propose a resolution-aware U-Net framework for wrapped-phase despeckling. The framework selectively applies global modeling strategies according to the feature resolution at different stages. Specifically, state-space modeling is used in shallow high-resolution layers to preserve long-range fringe continuity under strong speckle noise, whereas self-attention is introduced in deep low-resolution layers to enhance global phase consistency. To handle the inherent 2 π phase discontinuities, we adopt a sine-cosine representation that simplifies network learning. Extensive experiments on both simulated holographic data and real digital holographic measurements demonstrate the effectiveness of the proposed method. Under the most challenging mixed-noise condition, namely a severe combination of coherent speckle and additive Gaussian noise with a standard deviation of up to 0.4 rad, the proposed method reduces RMSE by approximately 38% relative to the Swin-Transformer-based baseline, demonstrating strong robustness and practical value for wrapped-phase denoising.

Optics ExpressVol. 34(9)
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Openalex Percentile: Top 11%
Digital Holography and Microscopy
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