2020
DOI: 10.1007/s10851-020-00967-4
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Background Subtraction using Adaptive Singular Value Decomposition

Abstract: An important task when processing sensor data is to distinguish relevant from irrelevant data. This paper describes a method for an iterative singular value decomposition that maintains a model of the background via singular vectors spanning a subspace of the image space, thus providing a way to determine the amount of new information contained in an incoming frame. We update the singular vectors spanning the background space in a computationally efficient manner and provide the ability to perform blockwise up… Show more

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Cited by 10 publications
(9 citation statements)
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References 31 publications
(47 reference statements)
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“…A classic anomaly detection strategy consists in performing a background subtraction -for example with a principal component analysis (PCA) (Reitberger andSauer, 2019, Ouerghi et al, 2021) -then locally modeling the remaining residual image as stationary Gaussian. This probabilistic model then enables Neyman-Pearson tests to be carried out to detect anomalous pixels (Manolakis andShaw, 2002, Matteoli et al, 2010).…”
Section: Introductionmentioning
confidence: 99%
“…A classic anomaly detection strategy consists in performing a background subtraction -for example with a principal component analysis (PCA) (Reitberger andSauer, 2019, Ouerghi et al, 2021) -then locally modeling the remaining residual image as stationary Gaussian. This probabilistic model then enables Neyman-Pearson tests to be carried out to detect anomalous pixels (Manolakis andShaw, 2002, Matteoli et al, 2010).…”
Section: Introductionmentioning
confidence: 99%
“…Although the absorption features of CH4 and water vapor (H2O) sometimes overlap in the infrared spectrum, their separation can be addressed by a wise selection of wavelengths (Crevoisier et al, 2009). A classic anomaly detection strategy consists in performing a background subtraction -for example with a principal component analysis (PCA) (Reitberger and Sauer, 2019) -then locally modeling the remaining residual image as following a Gaussian model. This probabilistic model then enables Neyman-Pearson tests to be carried out on the pixels to detect anomalies (Manolakis andShaw, 2002, Matteoli et al, 2010).…”
Section: Introductionmentioning
confidence: 99%
“…During the past two decades, many methods [ 1 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 , 24 , 25 ] were proposed for the background initialization task. In general, these techniques can be classified into four main categories: pixel-based methods [ 1 , 7 , 8 , 9 , 10 , 11 ], iterative-based methods [ 12 , 13 , 14 , 15 ], low-rank/sparse data separation methods [ 16 , 17 , 18 , 19 , 20 , 21 , 22 ], and deep learning-based methods [ 23 , 24 , 25 , 26 , 27 ].…”
Section: Introductionmentioning
confidence: 99%
“…The second subcategory includes iterative-based methods [ 12 , 13 , 14 , 15 ]. These methods usually consist of two stages.…”
Section: Introductionmentioning
confidence: 99%
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