arXiv:2501.11869eess.IVcs.IT2025-01

解决饱和导致的快照压缩成像重建难题,提升强饱和下的图像质量。

Snapshot Compressive Imaging under Saturation: Theory, Mask Design, and Reconstruction

  • 基于非线性截断建模饱和,推导出可量化误差的理论边界。
  • 发现最优掩码密度低于0.5且随饱和增强而降低。
  • 提出SAPnet框架,显著提升强饱和场景下的重建效果。

快照压缩成像(SCI)通过光学多路复用将多个编码帧合并为单个二维测量,实现视频和高光谱图像等高维数据的高效采集。然而,这种多路复用增加了传感器饱和风险:累积强度超出动态范围会导致测量值被截断,违背标准线性模型。本文从理论与算法双重视角研究饱和条件下的SCI重建问题。将饱和建模为逐元素截断非线性,并推导出基于压缩的SCI有限样本恢复界。该界明确关联重建误差与伯努利掩码密度、信号类压缩率、测量噪声及预期饱和测量比例。分析揭示了掩码设计的普适原则:在饱和条件下,最优伯努利掩码密度应低于0.5,且随饱和程度增强而下降。据此,我们优化了饱和采集的掩码模式,并提出一种饱和感知的即插即用重建框架——“Saturation-Aware PnP Net”(SAPnet),强制对未饱和与截断测量保持一致性。在标准视频SCI基准上的实验验证了理论预测,并表明SAPnet相比传统PnP方法在强饱和条件下显著提升重建质量。

原文摘要 · Abstract (English)

Snapshot compressive imaging (SCI) acquires high-dimensional data cubes, such as videos and hyperspectral images, by optically multiplexing multiple coded frames into a single two-dimensional measurement. While this multiplexing enables high acquisition efficiency, it also increases the risk of sensor saturation: the accumulated intensity may exceed the detector dynamic range, causing clipped measurements that violate the standard linear SCI model. This paper studies SCI reconstruction under such saturated measurements from both theoretical and algorithmic perspectives. We model saturation as an element-wise clipping nonlinearity and derive a finite-sample recovery bound for compression-based SCI. The bound explicitly relates the reconstruction error to the Bernoulli mask density, the compression rate of the signal class, measurement noise, and the expected fraction of saturated measurements. The analysis reveals a principled mask-design rule: under saturation, the optimal Bernoulli mask density remains below one-half and decreases as saturation becomes stronger. Motivated by this result, we optimize mask patterns for saturated acquisition and introduce a saturation-aware plug-and-play reconstruction framework, termed \emph{Saturation-Aware PnP Net} (SAPnet), which enforces consistency with both unsaturated and clipped measurements. Experiments on standard video SCI benchmarks validate the theoretical predictions and show that SAPnet substantially improves reconstruction quality over conventional PnP-based methods, especially in strongly saturated regimes.

压缩成像饱和处理重建算法PnP框架

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