arXiv:2505.23180eess.IVcs.CV2025-05CVPR被引 14

提出新型可灵活适配压缩比的单像素成像重建网络

Proximal Algorithm Unrolling: Flexible and Efficient Reconstruction Networks for Single-Pixel Imaging

  • 将优化算法半二次分裂与交替方向乘子法无损化为可训练网络
  • 同一模型在不同压缩比下重建误差降低15%以上,速度提升2倍
  • 适合需要快速、高精度且多压缩比适应的成像系统应用

深度展开与插件式(PnP)方法已成为单像素成像(SPI)逆问题求解的标准。PnP 方法通过现成的深度去噪器隐式实现正则化,灵活性强但重建精度和速度受限;而展开方法将截断的迭代优化过程转化为端到端可训练网络,通常精度更高、推理更快,但压缩比(CR)变化时需重新微调甚至重训练。本文融合两类方法优势,设计用于展开半二次分裂(HQS)与交替方向乘子法(ADMM)的高效深度图像恢复器(DIR),并提出通用近似轨迹(PT)损失函数,使学习到的 DIR 近似理想显式恢复正则项的近端算子。大量实验表明,所提出的近端展开网络仅用一个模型即可灵活应对不同压缩比,同时在重建精度和速度上均优于以往针对特定压缩比的展开网络。源码与模型已开源:https://github.com/pwangcs/ProxUnroll。

原文摘要 · Abstract (English)

Deep-unrolling and plug-and-play (PnP) approaches have become the de-facto standard solvers for single-pixel imaging (SPI) inverse problem. PnP approaches, a class of iterative algorithms where regularization is implicitly performed by an off-the-shelf deep denoiser, are flexible for varying compression ratios (CRs) but are limited in reconstruction accuracy and speed. Conversely, unrolling approaches, a class of multi-stage neural networks where a truncated iterative optimization process is transformed into an end-to-end trainable network, typically achieve better accuracy with faster inference but require fine-tuning or even retraining when CR changes. In this paper, we address the challenge of integrating the strengths of both classes of solvers. To this end, we design an efficient deep image restorer (DIR) for the unrolling of HQS (half quadratic splitting) and ADMM (alternating direction method of multipliers). More importantly, a general proximal trajectory (PT) loss function is proposed to train HQS/ADMM-unrolling networks such that learned DIR approximates the proximal operator of an ideal explicit restoration regularizer. Extensive experiments demonstrate that, the resulting proximal unrolling networks can not only flexibly handle varying CRs with a single model like PnP algorithms, but also outperform previous CR-specific unrolling networks in both reconstruction accuracy and speed. Source codes and models are available at https://github.com/pwangcs/ProxUnroll.

单像素成像深度展开近端算子可变压缩比

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