Super-Resolution Reconstruction of Remote Sensing Images Using Chaotic Mapping to Optimize Sparse Representation

Current super-resolution algorithms exhibit limitations when processing noisy remote sensing images rich in surface information, as they tend to amplify noise during the recovery of high-frequency signals. To mitigate this issue, this paper presents a novel approach that incorporates the concept of...

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Main Authors: Hailin Fang, Liangliang Zheng, Wei Xu
Format: Article
Language:English
Published: MDPI AG 2024-10-01
Series:Sensors
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Online Access:https://www.mdpi.com/1424-8220/24/21/7030
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author Hailin Fang
Liangliang Zheng
Wei Xu
author_facet Hailin Fang
Liangliang Zheng
Wei Xu
author_sort Hailin Fang
collection DOAJ
description Current super-resolution algorithms exhibit limitations when processing noisy remote sensing images rich in surface information, as they tend to amplify noise during the recovery of high-frequency signals. To mitigate this issue, this paper presents a novel approach that incorporates the concept of compressed sensing and explores the super-resolution problem of remote sensing images for space cameras, particularly for high-speed imaging systems. The proposed algorithm employs K-singular value decomposition (K-SVD) to jointly train high- and low-resolution image blocks, updating them column by column to obtain overcomplete dictionary pairs. This approach compensates for the deficiency of fixed dictionaries in the original algorithm. In the process of dictionary updating, we innovatively integrate the circle chaotic mapping into the solution process of the dictionary sequence, replacing pseudorandom numbers. This integration facilitates balanced traversal and simplifies the search for global optimal solutions. For the optimization problem of sparse coefficients, we utilize the orthogonal matching pursuit method (OMP) instead of the L1 norm convex optimization method used in most reconstruction techniques, thereby complementing the K-SVD dictionary update algorithm. After upscaling and denoising the image using the dictionary pair mapping relationship, we further emphasize image edge details with local gradients as constraints. When compared with various representative super-resolution algorithms, our algorithm effectively filters out noise and stains in low-resolution images. It not only performs well visually but also stands out in objective evaluation indicators such as the peak signal-to-noise ratio and information entropy. The experimental results validate the effectiveness of the proposed method in super-resolution remote sensing images, yielding high-quality remote sensing image data.
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spelling doaj-art-03f93c1beff44978a019d9c846501a3c2024-11-08T14:41:54ZengMDPI AGSensors1424-82202024-10-012421703010.3390/s24217030Super-Resolution Reconstruction of Remote Sensing Images Using Chaotic Mapping to Optimize Sparse RepresentationHailin Fang0Liangliang Zheng1Wei Xu2Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaChangchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, ChinaCurrent super-resolution algorithms exhibit limitations when processing noisy remote sensing images rich in surface information, as they tend to amplify noise during the recovery of high-frequency signals. To mitigate this issue, this paper presents a novel approach that incorporates the concept of compressed sensing and explores the super-resolution problem of remote sensing images for space cameras, particularly for high-speed imaging systems. The proposed algorithm employs K-singular value decomposition (K-SVD) to jointly train high- and low-resolution image blocks, updating them column by column to obtain overcomplete dictionary pairs. This approach compensates for the deficiency of fixed dictionaries in the original algorithm. In the process of dictionary updating, we innovatively integrate the circle chaotic mapping into the solution process of the dictionary sequence, replacing pseudorandom numbers. This integration facilitates balanced traversal and simplifies the search for global optimal solutions. For the optimization problem of sparse coefficients, we utilize the orthogonal matching pursuit method (OMP) instead of the L1 norm convex optimization method used in most reconstruction techniques, thereby complementing the K-SVD dictionary update algorithm. After upscaling and denoising the image using the dictionary pair mapping relationship, we further emphasize image edge details with local gradients as constraints. When compared with various representative super-resolution algorithms, our algorithm effectively filters out noise and stains in low-resolution images. It not only performs well visually but also stands out in objective evaluation indicators such as the peak signal-to-noise ratio and information entropy. The experimental results validate the effectiveness of the proposed method in super-resolution remote sensing images, yielding high-quality remote sensing image data.https://www.mdpi.com/1424-8220/24/21/7030sparse representationsuper-resolutiondictionary learningchaotic mappinggreedy optimizationremote sensing images
spellingShingle Hailin Fang
Liangliang Zheng
Wei Xu
Super-Resolution Reconstruction of Remote Sensing Images Using Chaotic Mapping to Optimize Sparse Representation
Sensors
sparse representation
super-resolution
dictionary learning
chaotic mapping
greedy optimization
remote sensing images
title Super-Resolution Reconstruction of Remote Sensing Images Using Chaotic Mapping to Optimize Sparse Representation
title_full Super-Resolution Reconstruction of Remote Sensing Images Using Chaotic Mapping to Optimize Sparse Representation
title_fullStr Super-Resolution Reconstruction of Remote Sensing Images Using Chaotic Mapping to Optimize Sparse Representation
title_full_unstemmed Super-Resolution Reconstruction of Remote Sensing Images Using Chaotic Mapping to Optimize Sparse Representation
title_short Super-Resolution Reconstruction of Remote Sensing Images Using Chaotic Mapping to Optimize Sparse Representation
title_sort super resolution reconstruction of remote sensing images using chaotic mapping to optimize sparse representation
topic sparse representation
super-resolution
dictionary learning
chaotic mapping
greedy optimization
remote sensing images
url https://www.mdpi.com/1424-8220/24/21/7030
work_keys_str_mv AT hailinfang superresolutionreconstructionofremotesensingimagesusingchaoticmappingtooptimizesparserepresentation
AT liangliangzheng superresolutionreconstructionofremotesensingimagesusingchaoticmappingtooptimizesparserepresentation
AT weixu superresolutionreconstructionofremotesensingimagesusingchaoticmappingtooptimizesparserepresentation