Infrared Small Target Detection via Non-Convex Tensor Rank Surrogate Joint Local Contrast Energy

Small target detection is a crucial technique that restricts the performance of many infrared imaging systems. In this paper, a novel detection model of infrared small target via non-convex tensor rank surrogate joint local contrast energy (NTRS) is proposed. To improve the latest infrared patch-ten...

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Main Authors: Xuewei Guan, Landan Zhang, Suqi Huang, Zhenming Peng
Format: Article
Language:English
Published: MDPI AG 2020-05-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/12/9/1520
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author Xuewei Guan
Landan Zhang
Suqi Huang
Zhenming Peng
author_facet Xuewei Guan
Landan Zhang
Suqi Huang
Zhenming Peng
author_sort Xuewei Guan
collection DOAJ
description Small target detection is a crucial technique that restricts the performance of many infrared imaging systems. In this paper, a novel detection model of infrared small target via non-convex tensor rank surrogate joint local contrast energy (NTRS) is proposed. To improve the latest infrared patch-tensor (IPT) model, a non-convex tensor rank surrogate merging tensor nuclear norm (TNN) and the Laplace function, is utilized for low rank background patch-tensor constraint, which has a useful property of adaptively allocating weight for every singular value and can better approximate <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="script">l</mi> <mn>0</mn> </msub> </mrow> </semantics> </math> </inline-formula>-norm. Considering that the local prior map can be equivalent to the saliency map, we introduce a local contrast energy feature into IPT detection framework to weight target tensor, which can efficiently suppress the background and preserve the target simultaneously. Besides, to remove the structured edges more thoroughly, we suggest an additional structured sparse regularization term using the <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="script">l</mi> <mrow> <mn>1</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> </semantics> </math> </inline-formula>-norm of third-order tensor. To solve the proposed model, a high-efficiency optimization way based on alternating direction method of multipliers with the fast computing of tensor singular value decomposition is designed. Finally, an adaptive threshold is utilized to extract real targets of the reconstructed target image. A series of experimental results show that the proposed method has robust detection performance and outperforms the other advanced methods.
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spelling doaj.art-4d3b53df723748a298c72bf8209518ed2023-11-19T23:57:32ZengMDPI AGRemote Sensing2072-42922020-05-01129152010.3390/rs12091520Infrared Small Target Detection via Non-Convex Tensor Rank Surrogate Joint Local Contrast EnergyXuewei Guan0Landan Zhang1Suqi Huang2Zhenming Peng3School of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu 611731, ChinaSchool of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu 611731, ChinaSchool of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu 611731, ChinaSchool of Information and Communication Engineering, University of Electronic Science and Technology of China (UESTC), Chengdu 611731, ChinaSmall target detection is a crucial technique that restricts the performance of many infrared imaging systems. In this paper, a novel detection model of infrared small target via non-convex tensor rank surrogate joint local contrast energy (NTRS) is proposed. To improve the latest infrared patch-tensor (IPT) model, a non-convex tensor rank surrogate merging tensor nuclear norm (TNN) and the Laplace function, is utilized for low rank background patch-tensor constraint, which has a useful property of adaptively allocating weight for every singular value and can better approximate <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="script">l</mi> <mn>0</mn> </msub> </mrow> </semantics> </math> </inline-formula>-norm. Considering that the local prior map can be equivalent to the saliency map, we introduce a local contrast energy feature into IPT detection framework to weight target tensor, which can efficiently suppress the background and preserve the target simultaneously. Besides, to remove the structured edges more thoroughly, we suggest an additional structured sparse regularization term using the <inline-formula> <math display="inline"> <semantics> <mrow> <msub> <mi mathvariant="script">l</mi> <mrow> <mn>1</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> </mrow> </msub> </mrow> </semantics> </math> </inline-formula>-norm of third-order tensor. To solve the proposed model, a high-efficiency optimization way based on alternating direction method of multipliers with the fast computing of tensor singular value decomposition is designed. Finally, an adaptive threshold is utilized to extract real targets of the reconstructed target image. A series of experimental results show that the proposed method has robust detection performance and outperforms the other advanced methods.https://www.mdpi.com/2072-4292/12/9/1520infrared imagesmall target detectionnon-convex surrogatesingular value decomposition
spellingShingle Xuewei Guan
Landan Zhang
Suqi Huang
Zhenming Peng
Infrared Small Target Detection via Non-Convex Tensor Rank Surrogate Joint Local Contrast Energy
Remote Sensing
infrared image
small target detection
non-convex surrogate
singular value decomposition
title Infrared Small Target Detection via Non-Convex Tensor Rank Surrogate Joint Local Contrast Energy
title_full Infrared Small Target Detection via Non-Convex Tensor Rank Surrogate Joint Local Contrast Energy
title_fullStr Infrared Small Target Detection via Non-Convex Tensor Rank Surrogate Joint Local Contrast Energy
title_full_unstemmed Infrared Small Target Detection via Non-Convex Tensor Rank Surrogate Joint Local Contrast Energy
title_short Infrared Small Target Detection via Non-Convex Tensor Rank Surrogate Joint Local Contrast Energy
title_sort infrared small target detection via non convex tensor rank surrogate joint local contrast energy
topic infrared image
small target detection
non-convex surrogate
singular value decomposition
url https://www.mdpi.com/2072-4292/12/9/1520
work_keys_str_mv AT xueweiguan infraredsmalltargetdetectionvianonconvextensorranksurrogatejointlocalcontrastenergy
AT landanzhang infraredsmalltargetdetectionvianonconvextensorranksurrogatejointlocalcontrastenergy
AT suqihuang infraredsmalltargetdetectionvianonconvextensorranksurrogatejointlocalcontrastenergy
AT zhenmingpeng infraredsmalltargetdetectionvianonconvextensorranksurrogatejointlocalcontrastenergy