Title
Compressed dynamic mode decomposition for background modeling
Abstract
We introduce the method of compressed dynamic mode decomposition (cDMD) for background modeling. The dynamic mode decomposition is a regression technique that integrates two of the leading data analysis methods in use today: Fourier transforms and singular value decomposition. Borrowing ideas from compressed sensing and matrix sketching, cDMD eases the computational workload of high-resolution video processing. The key principal of cDMD is to obtain the decomposition on a (small) compressed matrix representation of the video feed. Hence, the cDMD algorithm scales with the intrinsic rank of the matrix, rather than the size of the actual video (data) matrix. Selection of the optimal modes characterizing the background is formulated as a sparsity-constrained sparse coding problem. Our results show that the quality of the resulting background model is competitive, quantified by the F-measure, recall and precision. A graphics processing unit accelerated implementation is also presented which further boosts the computational performance of the algorithm.
Year
DOI
Venue
2019
10.1007/s11554-016-0655-2
Journal of Real-time Image Processing
Keywords
Field
DocType
Dynamic mode decomposition, Background modeling, Matrix sketching, Sparse coding, GPU-accelerated computing
Dynamic mode decomposition,Computer science,Matrix (mathematics),Theoretical computer science,Artificial intelligence,Compressed sensing,Singular value decomposition,Computer vision,Video processing,Precision and recall,Algorithm,Graphics processing unit,Matrix representation
Journal
Volume
Issue
ISSN
16
5
1861-8219
Citations 
PageRank 
References 
3
0.40
12
Authors
3
Name
Order
Citations
PageRank
N. Benjamin Erichson1100.86
S. L. Brunton214123.92
J. Nathan Kutz322547.13