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Journal of Mathematical Imaging and Vision最新文献

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Non-monotone Boosted DC and Caputo Fractional Tailored Finite Point Algorithm for Rician Denoising and Deblurring 用于里氏去噪和去模糊的非单调提升 DC 算法和卡普托分数裁剪有限点算法
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-12-15 DOI: 10.1007/s10851-023-01168-5
Kexin Sun, Youcai Xu, Minfu Feng
{"title":"Non-monotone Boosted DC and Caputo Fractional Tailored Finite Point Algorithm for Rician Denoising and Deblurring","authors":"Kexin Sun, Youcai Xu, Minfu Feng","doi":"10.1007/s10851-023-01168-5","DOIUrl":"https://doi.org/10.1007/s10851-023-01168-5","url":null,"abstract":"<p>Since MRI is often corrupted by Rician noise, in medical image processing, Rician denoising and deblurring is an important research. In this work, considering the validity of the non-convex log term in the Rician denoising and deblurring model estimated by the maximum a posteriori (MAP) and total variation, we apply nmBDCA to deal with the model. A non-monotonic line search applied in nmBDCA can achieve possible growth of objective function values controlled by parameters. After that, the obtained convex problem is solved separately by alternating direction method of multipliers (ADMM). For <span>(u-)</span>subproblem in ADMM scheme, Caputo fractional derivative and tailored finite point method are applied to denoising, which retain more texture details and suppress the staircase effect. We also demonstrate the convergence of the model and perform the stability analysis on the numerical scheme. Numerical results show that our method can well improve the quality of image restoration.\u0000</p>","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"194 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138680504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Geometry Parameter Estimation for Sparse X-Ray Log Imaging 稀疏x射线测井成像的几何参数估计
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-12-03 DOI: 10.1007/s10851-023-01167-6
Angelina Senchukova, Jarkko Suuronen, Jere Heikkinen, Lassi Roininen
{"title":"Geometry Parameter Estimation for Sparse X-Ray Log Imaging","authors":"Angelina Senchukova, Jarkko Suuronen, Jere Heikkinen, Lassi Roininen","doi":"10.1007/s10851-023-01167-6","DOIUrl":"https://doi.org/10.1007/s10851-023-01167-6","url":null,"abstract":"<p>We consider geometry parameter estimation in industrial sawmill fan-beam X-ray tomography. In such industrial settings, scanners do not always allow identification of the location of the source–detector pair, which creates the issue of unknown geometry. This work considers an approach for geometry estimation based on the calibration object. We parametrise the geometry using a set of 5 parameters. To estimate the geometry parameters, we calculate the maximum cross-correlation between a known-sized calibration object image and its filtered backprojection reconstruction and use differential evolution as an optimiser. The approach allows estimating geometry parameters from full-angle measurements as well as from sparse measurements. We show numerically that different sets of parameters can be used for artefact-free reconstruction. We deploy Bayesian inversion with first-order isotropic Cauchy difference priors for reconstruction of synthetic and real sawmill data with a very low number of measurements.\u0000</p>","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"54 9","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Regularising Inverse Problems with Generative Machine Learning Models 用生成式机器学习模型正则化逆问题
4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-10-09 DOI: 10.1007/s10851-023-01162-x
Margaret Duff, Neill D. F. Campbell, Matthias J. Ehrhardt
{"title":"Regularising Inverse Problems with Generative Machine Learning Models","authors":"Margaret Duff, Neill D. F. Campbell, Matthias J. Ehrhardt","doi":"10.1007/s10851-023-01162-x","DOIUrl":"https://doi.org/10.1007/s10851-023-01162-x","url":null,"abstract":"Abstract Deep neural network approaches to inverse imaging problems have produced impressive results in the last few years. In this survey paper, we consider the use of generative models in a variational regularisation approach to inverse problems. The considered regularisers penalise images that are far from the range of a generative model that has learned to produce images similar to a training dataset. We name this family generative regularisers . The success of generative regularisers depends on the quality of the generative model and so we propose a set of desired criteria to assess generative models and guide future research. In our numerical experiments, we evaluate three common generative models, autoencoders, variational autoencoders and generative adversarial networks, against our desired criteria. We also test three different generative regularisers on the inverse problems of deblurring, deconvolution, and tomography. We show that restricting solutions of the inverse problem to lie exactly in the range of a generative model can give good results but that allowing small deviations from the range of the generator produces more consistent results. Finally, we discuss future directions and open problems in the field.","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135043901","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 16
QFPJFMs: Quaternion Fractional-Order Pseudo-Jacobi–Fourier Moments 四元数分数阶伪雅可比傅立叶矩
4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-10-05 DOI: 10.1007/s10851-023-01165-8
Xiangyang Wang, Maoying Deng, Panpan Niu, Hongying Yang
{"title":"QFPJFMs: Quaternion Fractional-Order Pseudo-Jacobi–Fourier Moments","authors":"Xiangyang Wang, Maoying Deng, Panpan Niu, Hongying Yang","doi":"10.1007/s10851-023-01165-8","DOIUrl":"https://doi.org/10.1007/s10851-023-01165-8","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134975699","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Strong Basins of Attractions for Non-convex Sparse Spike Estimation: Upper and Lower Bounds 非凸稀疏尖峰估计的强吸引盆地:上界和下界
4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-09-28 DOI: 10.1007/s10851-023-01163-w
Yann Traonmilin, Jean-François Aujol, Pierre-Jean Bénard, Arthur Leclaire
{"title":"On Strong Basins of Attractions for Non-convex Sparse Spike Estimation: Upper and Lower Bounds","authors":"Yann Traonmilin, Jean-François Aujol, Pierre-Jean Bénard, Arthur Leclaire","doi":"10.1007/s10851-023-01163-w","DOIUrl":"https://doi.org/10.1007/s10851-023-01163-w","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135386446","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Geometric Conditions for the Existence or Non-existence of a Solution to the Perspective 3-Point Problem 透视3点问题解存在或不存在的几何条件
4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-09-19 DOI: 10.1007/s10851-023-01164-9
Michael Q. Rieck
{"title":"Geometric Conditions for the Existence or Non-existence of a Solution to the Perspective 3-Point Problem","authors":"Michael Q. Rieck","doi":"10.1007/s10851-023-01164-9","DOIUrl":"https://doi.org/10.1007/s10851-023-01164-9","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135063177","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic-Clustering Extreme Intensity Prior Based Blind Image Deblurring 基于动态聚类极端强度先验的盲图像去模糊
4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-09-12 DOI: 10.1007/s10851-023-01161-y
Xiaopan Li, Shiqian Wu, Shoulie Xie, Sos Agaian
{"title":"Dynamic-Clustering Extreme Intensity Prior Based Blind Image Deblurring","authors":"Xiaopan Li, Shiqian Wu, Shoulie Xie, Sos Agaian","doi":"10.1007/s10851-023-01161-y","DOIUrl":"https://doi.org/10.1007/s10851-023-01161-y","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135878156","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Morphological Hierarchies: A Unifying Framework with New Trees 形态层次:新树的统一框架
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-08-16 DOI: 10.1007/s10851-023-01154-x
Nicolas Passat, Julien Mendes Forte, Y. Kenmochi
{"title":"Morphological Hierarchies: A Unifying Framework with New Trees","authors":"Nicolas Passat, Julien Mendes Forte, Y. Kenmochi","doi":"10.1007/s10851-023-01154-x","DOIUrl":"https://doi.org/10.1007/s10851-023-01154-x","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"65 1","pages":"718 - 753"},"PeriodicalIF":2.0,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45426412","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Novel Arc-Cost Functions and Seed Relevance Estimations for Compact and Accurate Superpixels 紧凑精确超像素的新型弧代价函数和种子相关性估计
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-08-16 DOI: 10.1007/s10851-023-01156-9
F. Belém, I. B. Barcelos, L. Joao, B. Perret, J. Cousty, S. Guimarães, A. Falcão
{"title":"Novel Arc-Cost Functions and Seed Relevance Estimations for Compact and Accurate Superpixels","authors":"F. Belém, I. B. Barcelos, L. Joao, B. Perret, J. Cousty, S. Guimarães, A. Falcão","doi":"10.1007/s10851-023-01156-9","DOIUrl":"https://doi.org/10.1007/s10851-023-01156-9","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"65 1","pages":"770 - 786"},"PeriodicalIF":2.0,"publicationDate":"2023-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47925933","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Discrete Morse Functions and Watersheds 离散莫尔斯函数与流域
4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-08-10 DOI: 10.1007/s10851-023-01157-8
Gilles Bertrand, Nicolas Boutry, Laurent Najman
{"title":"Discrete Morse Functions and Watersheds","authors":"Gilles Bertrand, Nicolas Boutry, Laurent Najman","doi":"10.1007/s10851-023-01157-8","DOIUrl":"https://doi.org/10.1007/s10851-023-01157-8","url":null,"abstract":"Any watershed, when defined on a stack on a normal pseudomanifold of dimension d, is a pure $$(d-1)$$ -subcomplex that satisfies a drop-of-water principle. In this paper, we introduce Morse stacks, a class of functions that are equivalent to discrete Morse functions. We show that the watershed of a Morse stack on a normal pseudomanifold is uniquely defined and can be obtained with a linear-time algorithm relying on a sequence of collapses. Last, we prove that such a watershed is the cut of the unique minimum spanning forest, rooted in the minima of the Morse stack, of the facet graph of the pseudomanifold.","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"78 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135492959","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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