解析二值掩码对快照压缩成像性能的影响,指导硬件优化
Theoretical Characterization of Effect of Masks in Snapshot Compressive Imaging
- 基于理论分析揭示二值掩码的性能机制
- 验证不同掩码设计在仿真中提升系统表现
- 适合成像系统设计与光学硬件优化研究者
快照压缩成像(SCI)通过二维投影重建三维数据立方体(如视频或高光谱图像),依赖于由掩码编码生成的投影。传统方法多采用独立同分布高斯掩码,无法进行实际物理约束下的掩码优化。现有实践中的掩码优化依赖计算复杂的联合优化,缺乏理论解释且易受非凸性影响。本文首次对满足物理约束的二值掩码进行理论表征,阐明其独立与相关元素对系统性能的影响,并据此优化硬件参数。仿真结果验证了理论结论,进一步揭示掩码设计的关键因素。
原文摘要 · Abstract (English)
Snapshot compressive imaging (SCI) refers to the recovery of three-dimensional data cubes-such as videos or hyperspectral images-from their two-dimensional projections, which are generated by a special encoding of the data with a mask. SCI systems commonly use binary-valued masks that follow certain physical constraints. Optimizing these masks subject to these constraints is expected to improve system performance. However, prior theoretical work on SCI systems focuses solely on independently and identically distributed (i.i.d.) Gaussian masks, which do not permit such optimization. On the other hand, existing practical mask optimizations rely on computationally intensive joint optimizations that provide limited insight into the role of masks and are expected to be sub-optimal due to the non-convexity and complexity of the optimization. In this paper, we analytically characterize the performance of SCI systems employing binary masks and leverage our analysis to optimize hardware parameters. Our findings provide a comprehensive and fundamental understanding of the role of binary masks - with both independent and dependent elements - and their optimization. We also present simulation results that confirm our theoretical findings and further illuminate different aspects of mask design.
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