SIAM J. Imaging Sci.最新文献

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Tensor Robust Principal Component Analysis via Tensor Fibered Rank and ({boldsymbol{{l_p}}}) Minimization 张量鲁棒主成分分析通过张量纤维秩和({boldsymbol{{l_p}}})最小化
SIAM J. Imaging Sci. Pub Date : 2023-03-30 DOI: 10.1137/22m1473236
Kaixin Gao, Zhenghai Huang
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引用次数: 1
Schwarzschild Harmonic Path Planning and Tetrahedral Mesh Smoothing Schwarzschild谐波路径规划与四面体网格平滑
SIAM J. Imaging Sci. Pub Date : 2023-03-30 DOI: 10.1137/22m1493446
Xu-Qian Fan, Wenyong Gong
{"title":"Schwarzschild Harmonic Path Planning and Tetrahedral Mesh Smoothing","authors":"Xu-Qian Fan, Wenyong Gong","doi":"10.1137/22m1493446","DOIUrl":"https://doi.org/10.1137/22m1493446","url":null,"abstract":"","PeriodicalId":185319,"journal":{"name":"SIAM J. Imaging Sci.","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115356981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlocal Perimeters and Curvature Flows on Graphs with Applications in Image Processing and High-Dimensional Data Classification 图上的非局部周长和曲率流及其在图像处理和高维数据分类中的应用
SIAM J. Imaging Sci. Pub Date : 2023-03-03 DOI: 10.1137/22m148598x
Imad El Bouchairi, A. Elmoataz, M. Fadili
{"title":"Nonlocal Perimeters and Curvature Flows on Graphs with Applications in Image Processing and High-Dimensional Data Classification","authors":"Imad El Bouchairi, A. Elmoataz, M. Fadili","doi":"10.1137/22m148598x","DOIUrl":"https://doi.org/10.1137/22m148598x","url":null,"abstract":"","PeriodicalId":185319,"journal":{"name":"SIAM J. Imaging Sci.","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121090920","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Short Communication: Weak Sparse Superresolution is Well-Conditioned 短通信:弱稀疏超分辨率是条件良好的
SIAM J. Imaging Sci. Pub Date : 2023-03-03 DOI: 10.1137/22m1521353
Mathias Hockmann, Stefan Kunis
{"title":"Short Communication: Weak Sparse Superresolution is Well-Conditioned","authors":"Mathias Hockmann, Stefan Kunis","doi":"10.1137/22m1521353","DOIUrl":"https://doi.org/10.1137/22m1521353","url":null,"abstract":"","PeriodicalId":185319,"journal":{"name":"SIAM J. Imaging Sci.","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121674479","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Stability for Finite Element Discretization of Some Inverse Parameter Problems from Internal Data: Application to Elastography 内部数据反参数问题有限元离散的稳定性:在弹性学中的应用
SIAM J. Imaging Sci. Pub Date : 2023-03-03 DOI: 10.1137/21m1428522
É. Bretin, Pierre Millien, Laurent Seppecher
{"title":"Stability for Finite Element Discretization of Some Inverse Parameter Problems from Internal Data: Application to Elastography","authors":"É. Bretin, Pierre Millien, Laurent Seppecher","doi":"10.1137/21m1428522","DOIUrl":"https://doi.org/10.1137/21m1428522","url":null,"abstract":"","PeriodicalId":185319,"journal":{"name":"SIAM J. Imaging Sci.","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131608054","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the Convergence of Stochastic Gradient Descent for Linear Inverse Problems in Banach Spaces Banach空间中线性逆问题的随机梯度下降收敛性
SIAM J. Imaging Sci. Pub Date : 2023-02-10 DOI: 10.48550/arXiv.2302.05197
Ž. Kereta, Bangti Jin
{"title":"On the Convergence of Stochastic Gradient Descent for Linear Inverse Problems in Banach Spaces","authors":"Ž. Kereta, Bangti Jin","doi":"10.48550/arXiv.2302.05197","DOIUrl":"https://doi.org/10.48550/arXiv.2302.05197","url":null,"abstract":"In this work we consider stochastic gradient descent (SGD) for solving linear inverse problems in Banach spaces. SGD and its variants have been established as one of the most successful optimisation methods in machine learning, imaging and signal processing, etc. At each iteration SGD uses a single datum, or a small subset of data, resulting in highly scalable methods that are very attractive for large-scale inverse problems. Nonetheless, the theoretical analysis of SGD-based approaches for inverse problems has thus far been largely limited to Euclidean and Hilbert spaces. In this work we present a novel convergence analysis of SGD for linear inverse problems in general Banach spaces: we show the almost sure convergence of the iterates to the minimum norm solution and establish the regularising property for suitable a priori stopping criteria. Numerical results are also presented to illustrate features of the approach.","PeriodicalId":185319,"journal":{"name":"SIAM J. Imaging Sci.","volume":"110 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120877600","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Waveform Inversion with a Data Driven Estimate of the Internal Wave 用数据驱动的内波估计的波形反演
SIAM J. Imaging Sci. Pub Date : 2023-02-07 DOI: 10.1137/22m1517342
L. Borcea, J. Garnier, A. Mamonov, J. Zimmerling
{"title":"Waveform Inversion with a Data Driven Estimate of the Internal Wave","authors":"L. Borcea, J. Garnier, A. Mamonov, J. Zimmerling","doi":"10.1137/22m1517342","DOIUrl":"https://doi.org/10.1137/22m1517342","url":null,"abstract":"","PeriodicalId":185319,"journal":{"name":"SIAM J. Imaging Sci.","volume":"4 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129216682","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An Active Contour Model with Local Variance Force Term and Its Efficient Minimization Solver for Multiphase Image Segmentation 一种具有局部方差力项的多相图像分割主动轮廓模型及其高效最小化求解方法
SIAM J. Imaging Sci. Pub Date : 2023-02-03 DOI: 10.1137/22m1483645
Chao Liu, Zhonghua Qiao, Qian Zhang
{"title":"An Active Contour Model with Local Variance Force Term and Its Efficient Minimization Solver for Multiphase Image Segmentation","authors":"Chao Liu, Zhonghua Qiao, Qian Zhang","doi":"10.1137/22m1483645","DOIUrl":"https://doi.org/10.1137/22m1483645","url":null,"abstract":"","PeriodicalId":185319,"journal":{"name":"SIAM J. Imaging Sci.","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129724976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation 辐射输运方程系数反问题的凸化数值解法
SIAM J. Imaging Sci. Pub Date : 2023-01-19 DOI: 10.1137/22m1509837
M. Klibanov, Jingzhi Li, L. Nguyen, Zhipeng Yang
{"title":"Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation","authors":"M. Klibanov, Jingzhi Li, L. Nguyen, Zhipeng Yang","doi":"10.1137/22m1509837","DOIUrl":"https://doi.org/10.1137/22m1509837","url":null,"abstract":". An ( n + 1) − D coefficient inverse problem for the radiative stationary transport equation is considered for the first time. A globally conver- gent so-called convexification numerical method is developed and its convergence analysis is provided. The analysis is based on a Carleman estimate. In particular, convergence analysis implies a certain uniqueness theorem. Exten-sive numerical studies in the 2-D case are presented. Our are the source along an interval of a line and the data are only at a part of the boundary of the of is unlike the classical case of X-ray tomography when the runs all around and the are on the","PeriodicalId":185319,"journal":{"name":"SIAM J. Imaging Sci.","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114521600","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Convergence Results for Primal-Dual Algorithms in the Presence of Adjoint Mismatch 伴随失配存在下原对偶算法的收敛结果
SIAM J. Imaging Sci. Pub Date : 2023-01-19 DOI: 10.1137/22m1490223
É. Chouzenoux, Andres Contreras, J. Pesquet, Marion Savanier
{"title":"Convergence Results for Primal-Dual Algorithms in the Presence of Adjoint Mismatch","authors":"É. Chouzenoux, Andres Contreras, J. Pesquet, Marion Savanier","doi":"10.1137/22m1490223","DOIUrl":"https://doi.org/10.1137/22m1490223","url":null,"abstract":"Most optimization problems arising in imaging science involve high-dimensional linear operators and their adjoints. In the implementations of these operators, approximations may be introduced for various practical considerations (e.g., memory limitation, computational cost, convergence speed), leading to an adjoint mismatch . This occurs for the X-ray tomographic inverse problems found in Computed Tomography (CT), where the adjoint of the measurement operator (called projector) is often replaced by a surrogate operator. The resulting adjoint mismatch can jeopardize the convergence properties of iterative schemes used for image recovery. In this paper, we study the theoretical behavior of a panel of primal-dual proximal algorithms, which rely on forward-backward-(forward) splitting schemes, when an adjoint mismatch occurs. We analyze these algorithms by focusing on the resolution of possibly non-smooth convex penalized minimization problems in an infinite-dimensional setting. By using tools from fixed point theory, we show that they can solve monotone inclusions that go beyond minimization problems. Such findings indicate these algorithms can be seen as a generalization of classical primal-dual formulations. The applicability of our findings are also demonstrated through two numerical experiments in the context of CT image reconstruction.","PeriodicalId":185319,"journal":{"name":"SIAM J. Imaging Sci.","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124333101","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
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