Mota, JFC;
Deligiannis, N;
Sankaranarayanan, AC;
Cevher, V;
Rodrigues, MRD;
(2016)
Adaptive-Rate Reconstruction of Time-Varying Signals With Application in Compressive Foreground Extraction.
IEEE TRANSACTIONS ON SIGNAL PROCESSING
, 64
(14)
pp. 3651-3666.
10.1109/TSP.2016.2544744.
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Abstract
We propose and analyze an online algorithm for reconstructing a sequence of signals from a limited number of linear measurements. The signals are assumed sparse, with unknown support, and evolve over time according to a generic nonlinear dynamical model. Our algorithm, based on recent theoretical results for l1 - l1 minimization, is recursive and computes the number of measurements to be taken at each time on-the-fly. As an example, we apply the algorithm to online compressive video foreground extraction, a problem stated as follows: given a set of measurements of a sequence of images with a static background, simultaneously reconstruct each image while separating its foreground from the background. The performance of our method is illustrated on sequences of real images. We observe that it allows a dramatic reduction in the number of measurements or reconstruction error with respect to state-of-the-art compressive background subtraction schemes.
| Type: | Article |
|---|---|
| Title: | Adaptive-Rate Reconstruction of Time-Varying Signals With Application in Compressive Foreground Extraction |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1109/TSP.2016.2544744 |
| Publisher version: | http://dx.doi.org/10.1109/TSP.2016.2544744 |
| Language: | English |
| Additional information: | This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/ |
| Keywords: | Science & Technology, Technology, Engineering, Electrical & Electronic, Engineering, Background subtraction, compressive video, l(1) minimization, motion estimation, sparsity, state estimation, LEAST-SQUARES, BACKGROUND SUBTRACTION, MATRIX DECOMPOSITION, BASIS PURSUIT, DYNAMIC MRI, ROBUST PCA, SPARSE, UNCERTAINTY, RECOVERY, SYSTEMS |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Electronic and Electrical Eng |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1508361 |
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