2019
DOI: 10.3390/rs11050559
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Infrared Small Target Detection Based on Non-Convex Optimization with Lp-Norm Constraint

Abstract: The infrared search and track (IRST) system has been widely used, and the field of infrared small target detection has also received much attention. Based on this background, this paper proposes a novel infrared small target detection method based on non-convex optimization with Lp-norm constraint (NOLC). The NOLC method strengthens the sparse item constraint with Lp-norm while appropriately scaling the constraints on low-rank item, so the NP-hard problem is transformed into a non-convex optimization problem. … Show more

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Cited by 119 publications
(64 citation statements)
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“…Many different approaches have been proposed for infrared object tracking such as saliency extraction [9], multiscale patch-based contrast measure and a temporal variance filter [14], feature learning and fusion, reliability weight estimation based on nonnegative matrix factorization [15], Poisson reconstruction and the Dempster-Shafer theory [16], three-dimensional scalar field [17], a double-layer region proposal network (RPN) [18], Siamese convolution network [19], a mixture of Gaussians with modified flux density [20], spatial-temporal total variation regularization and weighted tensor [21], two-stage U-skip context aggregation network [22], histogram similarity map based on the Epanechnikov kernel function [23], quaternion discrete cosine transform [24], non-convex optimization [25], Mexican-hat distribution of pixels [26], and Schatten regularization with reweighted sparse enhancement [27].…”
Section: Introductionmentioning
confidence: 99%
“…Many different approaches have been proposed for infrared object tracking such as saliency extraction [9], multiscale patch-based contrast measure and a temporal variance filter [14], feature learning and fusion, reliability weight estimation based on nonnegative matrix factorization [15], Poisson reconstruction and the Dempster-Shafer theory [16], three-dimensional scalar field [17], a double-layer region proposal network (RPN) [18], Siamese convolution network [19], a mixture of Gaussians with modified flux density [20], spatial-temporal total variation regularization and weighted tensor [21], two-stage U-skip context aggregation network [22], histogram similarity map based on the Epanechnikov kernel function [23], quaternion discrete cosine transform [24], non-convex optimization [25], Mexican-hat distribution of pixels [26], and Schatten regularization with reweighted sparse enhancement [27].…”
Section: Introductionmentioning
confidence: 99%
“…e core idea of this kind of approach is to seek the best sparse and low-rank approximation of the given observation matrix, where the target is regarded as the sparse component and the background is lowrank component. RPCA framework has been widely applied to infrared small target detection [22][23][24][25][26] for its generalization and computation efficiency and can be extended to cope with large-scale problems. In realistic applications, sparse and lowrank recovery normally cannot be directly applied to small target detection because the decomposed background image matrix usually does not satisfy the low-rank characteristics.…”
Section: Introductionmentioning
confidence: 99%
“…Infrared small target detection plays an important role in many applications such as infrared search and tracking system (IRST), automatic target recognition system (ATR) and early warning system [1][2][3]. Due to the long-imaging distance in these applications, targets are usually small and lack of shape and structure information in infrared images, leading to the difficulties in extracting abundant distinctive features of the targets [4][5][6].…”
Section: Introductionmentioning
confidence: 99%
“…Since the IPI model was proposed, many efforts were made to improve its performance. The weighted nuclear norm minimization (WNNM) [31], the capped norm [32], the truncated nuclear norm minimization (TNNM) [33], the Schatten-p norm [34] and the γ norm (NRAM) [3] were applied to approximate the rank more precisely. Moreover, the weighted l 1 norm [35], the capped l 1 norm [36], the l 2 , 1 norm [37], and the l p norm [3] have also been proposed to improve the sparse representation ability.…”
mentioning
confidence: 99%