Title
Adaptive-Rate Sparse Signal Reconstruction With Application in Compressive Background Subtraction.
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 $\ell_1$-$\ell_1$ 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 compressive video background subtraction, a problem that can be 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 with respect to state-of-the-art compressive background subtraction schemes.
Year
Venue
Field
2015
IEEE Transactions on Signal Processing
Iterative reconstruction,Background subtraction,Online algorithm,Pattern recognition,Matrix decomposition,Basis pursuit,Kalman filter,Artificial intelligence,Real image,Motion estimation,Mathematics
DocType
Volume
Citations 
Journal
abs/1503.03231
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
João F. C. Mota161.13
Nikos Deligiannis2375.20
Aswin C. Sankaranarayanan377051.51
Volkan Cevher411.71
Miguel R. D. Rodrigues51500111.23