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Undersea Buried Pipeline Reconstruction Based on the Level Set and Inverse Multiquadric Regularization Method
作者姓名:SHANG Wenjing  XUE Wei  XU Yidong  MAKAROV Sergey B.  LI Yingsong
作者单位:College of Information and Communication Engineering,Harbin Engineering University,Harbin 150001,China;Key Laboratory of Advanced Marine Communication and Information Technology,Ministry of Industry and Information Technology,Harbin 150001,China;Yantai Research Institute and Graduate School of Harbin Engineering University,Yantai 264006,China;Institute of Physics,Nanotechnology and Telecommunications,Higher School of Applied Physics and Space Technologies,Peter the Great St.Petersburg Polytechnic University,St.Petersburg 195251,Russia;College of Information and Communication Engineering,Harbin Engineering University,Harbin 150001,China;Key Laboratory of Advanced Marine Communication and Information Technology,Ministry of Industry and Information Technology,Harbin 150001,China
基金项目:supported by the National Natural Sci-ence Foundation of China(No.52101383);the Fundamen-tal Research Funds for the Central Universities(No.3072021CF0802);the Key Laboratory of Advanced Marine Communication and Information Technology,Ministry of Industry and Information Technology(No.AMCIT2101-02);the Sino-Russian Cooperation Fund of Harbin Engi-neering University(No.2021HEUCRF006);the Ministry of Science and Higher Education of the Russian Federation(No.075-15-2020-934);the International Science&Technology Cooperation Program of China(No.2014DF R10240).
摘    要:The electric inversion technique reconstructs the subsurface medium distribution from acquired data.On the basis of electric inversion,objects buried under the earth or seabed,such as pipelines and unexploded ordnance,are detected and located in a contactless manner.However,the process of accurately reconstructing the shape of the target object is challenging because electric inversion is a nonlinear and ill-posed problem.In this work,we present an inverse multiquadric(IMQ)regularization method based on the level set function for reconstructing buried pipelines.In the case of locating underwater objects,the unknown inversion area is split into two parts,the background and the pipeline with known conductivity.The geometry of the pipeline is represented based on the level set function for achieving a noiseless inversion image.To obtain a binary image,the IMQ is used as the regularization term,which‘pushes’the level set function away from 0.We also provide an appropriate method to select the bandwidth and regularization parameters for the IMQ regularization term,resulting in reconstructed images with sharp edges.The simulation results and analysis show that the proposed method performs better than classical inversion methods.

关 键 词:inverse  problems  level  set  function  inverse  multiquadric  regularization  method  buried  pipeline

Undersea Buried Pipeline Reconstruction Based on the Level Set and Inverse Multiquadric Regularization Method
SHANG Wenjing,XUE Wei,XU Yidong,MAKAROV Sergey B.,LI Yingsong.Undersea Buried Pipeline Reconstruction Based on the Level Set and Inverse Multiquadric Regularization Method[J].Journal of Ocean University of China,2022,21(1):101-112.
Authors:SHANG Wenjing  XUE Wei  XU Yidong  MAKAROV Sergey B  LI Yingsong
Abstract:The electric inversion technique reconstructs the subsurface medium distribution from acquired data. On the basis of electric inversion, objects buried under the earth or seabed, such as pipelines and unexploded ordnance, are detected and located in a contactless manner. However, the process of accurately reconstructing the shape of the target object is challenging because electric inversion is a nonlinear and ill-posed problem. In this work, we present an inverse multiquadric (IMQ) regularization method based on the level set function for reconstructing buried pipelines. In the case of locating underwater objects, the unknown inversion area is split into two parts, the background and the pipeline with known conductivity. The geometry of the pipeline is represented based on the level set function for achieving a noiseless inversion image. To obtain a binary image, the IMQ is used as the regularization term, which 'pushes' the level set function away from 0. We also provide an appropriate method to select the bandwidth and regularization pa-rameters for the IMQ regularization term, resulting in reconstructed images with sharp edges. The simulation results and analysis show that the proposed method performs better than classical inversion methods.
Keywords:inverse problems  level set function  inverse multiquadric regularization method  buried pipeline
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