Compressive sensing (CS) is a new approach for the acquisition and recovery of sparse signals and images that enables sampling rates significantly below the classical Nyquist rate. Despite significant progress in the theory and methods of CS, little headway has been made in compressive video acquisition and recovery. Video CS is complicated by the ephemeral nature of dynamic events, which makes direct extensions of standard CS imaging architectures and signal models difficult. In this paper, we develop a new framework for video CS for dynamic textured scenes that models the evolution of the scene as a linear dynamical system (LDS). This reduces the video recovery problem to first estimating the model parameters of the LDS from compressive measurements, and then reconstructing the image frames. We exploit the low-dimensional dynamic parameters (the state sequence) and high-dimensional static parameters (the observation matrix) of the LDS to devise a novel compressive measurement strategy that measures only the dynamic part of the scene at each instant and accumulates measurements over time to estimate the static parameters. This enables us to lower the compressive measurement rate considerably. We validate our approach with a range of experiments involving both video recovery, sensing hyper-spectral data, and classification of dynamic scenes from compressive data. Together, these applications demonstrate the effectiveness of the approach.

本文提出了一种基于线性动态系统的视频压缩感知恢复框架，将视频恢复问题简化为先从压缩测量中估计LDS模型参数，然后重建图像帧。利用LDS的低维动态参数和高维静态参数来设计一种新颖的压缩测量策略，它只在每个时刻测量场景的动态部分并随时间累积以估计静态参数，并有效地降低了压缩测量率。经过各种实验验证了方法的有效性，包括视频恢复、感知高光谱数据以及从压缩数据中对动态场景进行分类。

动态场景的压缩采集