A Robust Nonrigid Point Set Registration Method Based on Collaborative Correspondences

The nonrigid point set registration is one of the bottlenecks and has the wide applications in computer vision, pattern recognition, image fusion, video processing, and so on. In a nonrigid point set registration problem, finding the point-to-point correspondences is challengeable because of the var...

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Main Authors: Xiang-Wei Feng, Da-Zheng Feng
Format: Article
Language:English
Published: MDPI AG 2020-06-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/20/11/3248
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author Xiang-Wei Feng
Da-Zheng Feng
author_facet Xiang-Wei Feng
Da-Zheng Feng
author_sort Xiang-Wei Feng
collection DOAJ
description The nonrigid point set registration is one of the bottlenecks and has the wide applications in computer vision, pattern recognition, image fusion, video processing, and so on. In a nonrigid point set registration problem, finding the point-to-point correspondences is challengeable because of the various image degradations. In this paper, a robust method is proposed to accurately determine the correspondences by fusing the two complementary structural features, including the spatial location of a point and the local structure around it. The former is used to define the absolute distance (AD), and the latter is exploited to define the relative distance (RD). The AD-correspondences and the RD-correspondences can be established based on AD and RD, respectively. The neighboring corresponding consistency is employed to assign the confidence for each RD-correspondence. The proposed heuristic method combines the AD-correspondences and the RD-correspondences to determine the corresponding relationship between two point sets, which can significantly improve the corresponding accuracy. Subsequently, the thin plate spline (TPS) is employed as the transformation function. At each step, the closed-form solutions of the affine and nonaffine parts of TPS can be independently and robustly solved. It facilitates to analyze and control the registration process. Experimental results demonstrate that our method can achieve better performance than several existing state-of-the-art methods.
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spelling doaj.art-a54240c7ffad4eb4a754b6e7712d5f9f2023-11-20T03:06:30ZengMDPI AGSensors1424-82202020-06-012011324810.3390/s20113248A Robust Nonrigid Point Set Registration Method Based on Collaborative CorrespondencesXiang-Wei Feng0Da-Zheng Feng1National Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, ChinaNational Laboratory of Radar Signal Processing, Xidian University, Xi’an 710071, ChinaThe nonrigid point set registration is one of the bottlenecks and has the wide applications in computer vision, pattern recognition, image fusion, video processing, and so on. In a nonrigid point set registration problem, finding the point-to-point correspondences is challengeable because of the various image degradations. In this paper, a robust method is proposed to accurately determine the correspondences by fusing the two complementary structural features, including the spatial location of a point and the local structure around it. The former is used to define the absolute distance (AD), and the latter is exploited to define the relative distance (RD). The AD-correspondences and the RD-correspondences can be established based on AD and RD, respectively. The neighboring corresponding consistency is employed to assign the confidence for each RD-correspondence. The proposed heuristic method combines the AD-correspondences and the RD-correspondences to determine the corresponding relationship between two point sets, which can significantly improve the corresponding accuracy. Subsequently, the thin plate spline (TPS) is employed as the transformation function. At each step, the closed-form solutions of the affine and nonaffine parts of TPS can be independently and robustly solved. It facilitates to analyze and control the registration process. Experimental results demonstrate that our method can achieve better performance than several existing state-of-the-art methods.https://www.mdpi.com/1424-8220/20/11/3248nonrigid point set registrationstructural featureabsolute distancerelative distancecorrespondence
spellingShingle Xiang-Wei Feng
Da-Zheng Feng
A Robust Nonrigid Point Set Registration Method Based on Collaborative Correspondences
Sensors
nonrigid point set registration
structural feature
absolute distance
relative distance
correspondence
title A Robust Nonrigid Point Set Registration Method Based on Collaborative Correspondences
title_full A Robust Nonrigid Point Set Registration Method Based on Collaborative Correspondences
title_fullStr A Robust Nonrigid Point Set Registration Method Based on Collaborative Correspondences
title_full_unstemmed A Robust Nonrigid Point Set Registration Method Based on Collaborative Correspondences
title_short A Robust Nonrigid Point Set Registration Method Based on Collaborative Correspondences
title_sort robust nonrigid point set registration method based on collaborative correspondences
topic nonrigid point set registration
structural feature
absolute distance
relative distance
correspondence
url https://www.mdpi.com/1424-8220/20/11/3248
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