arXiv:2603.01890cs.CV2026-03

用物理约束建模未知压缩过程,提升低光与HDR重建质量

Resolving Blind Inverse Problems under Dynamic Range Compression via Structured Forward Operator Modeling

  • 通过分段单调伯恩斯坦多项式建模未知压缩函数,强制物理一致性
  • 在零样本任务中显著优于现有方法,保持信号保真度与物理合理性
  • 适合图像恢复、医学成像等领域需处理未知压缩的场景

从未知动态范围压缩(UDRC)中恢复辐射保真度,如低光增强和高动态范围(HDR)重建,是一个极具挑战性的盲逆问题,因前向模型未知且压缩导致不可逆信息损失。本文首次识别出单调性是各类UDRC任务共有的基本物理不变性。基于此,提出级联单调伯恩斯坦(CaMB)算子来参数化未知前向模型,将单调性作为硬性结构先验,限制优化方向为物理上合理的映射,实现稳定可靠的算子估计。进一步将CaMB与即插即用扩散框架结合,提出CaMB-Diff:扩散模型提供结构与语义先验,而CaMB显式建模并校正辐射失真。在多种零样本UDRC任务(包括低光增强、低场MRI增强和HDR重建)上的实验表明,CaMB-Diff在信号保真度和物理一致性上均显著超越现有最先进零样本基线。同时,实证验证了CaMB对未知前向模型的准确建模能力。

原文摘要 · Abstract (English)

Recovering radiometric fidelity from unknown dynamic range compression (UDRC), such as low-light enhancement and HDR reconstruction, is a challenging blind inverse problem, due to the unknown forward model and irreversible information loss introduced by compression. To address this challenge, we first identify monotonicity as the fundamental physical invariant shared across UDRC tasks. Leveraging this insight, we introduce the \textbf{cascaded monotonic Bernstein} (CaMB) operator to parameterize the unknown forward model. CaMB enforces monotonicity as a hard architectural inductive bias, constraining optimization to physically consistent mappings and enabling robust and stable operator estimation. We further integrate CaMB with a plug-and-play diffusion framework, proposing \textbf{CaMB-Diff}. Within this framework, the diffusion model serves as a powerful geometric prior for structural and semantic recovery, while CaMB explicitly models and corrects radiometric distortions through a physically grounded forward operator. Extensive experiments on a variety of zero-shot UDRC tasks, including low-light enhancement, low-field MRI enhancement, and HDR reconstruction, demonstrate that CaMB-Diff significantly outperforms state-of-the-art zero-shot baselines in terms of both signal fidelity and physical consistency. Moreover, we empirically validate the effectiveness of the proposed CaMB parameterization in accurately modeling the unknown forward operator.

图像恢复扩散模型物理先验

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