Journal of Mathematical Imaging and Vision最新文献

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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":null,"pages":null},"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
Introducing Poset-Based Connected n-Manifolds and $$mathcal {P}$$-well-composedness in Partially Ordered Sets 引入部分有序集合中基于定位的连通n流形和$$mathcal {P}$$ -良组成性
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-08-09 DOI: 10.1007/s10851-023-01159-6
Nicolas Boutry
{"title":"Introducing Poset-Based Connected n-Manifolds and $$mathcal {P}$$-well-composedness in Partially Ordered Sets","authors":"Nicolas Boutry","doi":"10.1007/s10851-023-01159-6","DOIUrl":"https://doi.org/10.1007/s10851-023-01159-6","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42524921","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
Differential Oriented Image Foresting Transform and Its Applications to Support High-level Priors for Object Segmentation 面向差分的图像森林变换及其支持高阶先验对象分割的应用
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-08-05 DOI: 10.1007/s10851-023-01158-7
Marcos A. T. Condori, P. A. Miranda
{"title":"Differential Oriented Image Foresting Transform and Its Applications to Support High-level Priors for Object Segmentation","authors":"Marcos A. T. Condori, P. A. Miranda","doi":"10.1007/s10851-023-01158-7","DOIUrl":"https://doi.org/10.1007/s10851-023-01158-7","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46559029","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
Surface-Based Computation of the Euler Characteristic in the BCC Grid BCC网格中欧拉特征的曲面计算
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-07-17 DOI: 10.1007/s10851-023-01153-y
Lidija Comic, P. Magillo
{"title":"Surface-Based Computation of the Euler Characteristic in the BCC Grid","authors":"Lidija Comic, P. Magillo","doi":"10.1007/s10851-023-01153-y","DOIUrl":"https://doi.org/10.1007/s10851-023-01153-y","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48086282","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
An Envelope Operator for Full Convexity to Define Polyhedral Models in Digital Spaces 数字空间中定义多面体模型的完全凸性包络算子
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-07-17 DOI: 10.1007/s10851-023-01155-w
F. Feschet, J. Lachaud
{"title":"An Envelope Operator for Full Convexity to Define Polyhedral Models in Digital Spaces","authors":"F. Feschet, J. Lachaud","doi":"10.1007/s10851-023-01155-w","DOIUrl":"https://doi.org/10.1007/s10851-023-01155-w","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46222709","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
Spatiotemporal Kernel of a Three-Component Differential Equation Model with Self-control Mechanism in Vision 视觉中具有自控制机制的三元微分方程模型的时空核
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-07-17 DOI: 10.1007/s10851-023-01151-0
Shintaro Kondo, Masaki Mori, Takamichi Sushida
{"title":"Spatiotemporal Kernel of a Three-Component Differential Equation Model with Self-control Mechanism in Vision","authors":"Shintaro Kondo, Masaki Mori, Takamichi Sushida","doi":"10.1007/s10851-023-01151-0","DOIUrl":"https://doi.org/10.1007/s10851-023-01151-0","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42527559","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: 1
Combinatorial Generation of Planar Sets 平面集合的组合生成
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-07-15 DOI: 10.1007/s10851-023-01152-z
Tristan Roussillon
{"title":"Combinatorial Generation of Planar Sets","authors":"Tristan Roussillon","doi":"10.1007/s10851-023-01152-z","DOIUrl":"https://doi.org/10.1007/s10851-023-01152-z","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46618310","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
Topology- and Perception-Aware Image Vectorization 拓扑感知和感知图像矢量化
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-06-12 DOI: 10.1007/s10851-023-01149-8
Yuchen He, S. Kang, J. Morel
{"title":"Topology- and Perception-Aware Image Vectorization","authors":"Yuchen He, S. Kang, J. Morel","doi":"10.1007/s10851-023-01149-8","DOIUrl":"https://doi.org/10.1007/s10851-023-01149-8","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42672310","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
Density Functions of Periodic Sequences of Continuous Events 连续事件周期序列的密度函数
4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-06-12 DOI: 10.1007/s10851-023-01150-1
Olga Anosova, Vitaliy Kurlin
{"title":"Density Functions of Periodic Sequences of Continuous Events","authors":"Olga Anosova, Vitaliy Kurlin","doi":"10.1007/s10851-023-01150-1","DOIUrl":"https://doi.org/10.1007/s10851-023-01150-1","url":null,"abstract":"Abstract Periodic Geometry studies isometry invariants of periodic point sets that are also continuous under perturbations. The motivations come from periodic crystals whose structures are determined in a rigid form, but any minimal cells can discontinuously change due to small noise in measurements. For any integer $$kge 0$$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mrow> <mml:mi>k</mml:mi> <mml:mo>≥</mml:mo> <mml:mn>0</mml:mn> </mml:mrow> </mml:math> , the density function of a periodic set S was previously defined as the fractional volume of all k -fold intersections (within a minimal cell) of balls that have a variable radius t and centers at all points of S . This paper introduces the density functions for periodic sets of points with different initial radii motivated by atomic radii of chemical elements and by continuous events occupying disjoint intervals in time series. The contributions are explicit descriptions of the densities for periodic sequences of intervals. The new densities are strictly stronger and distinguish periodic sequences that have identical densities in the case of zero radii.","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136222918","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: 5
Non-Gaussian Noise Removal via Gaussian Denoisers with the Gray Level Indicator 基于灰度指标的高斯去噪器去除非高斯噪声
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-05-02 DOI: 10.1007/s10851-023-01148-9
Kehan Shi, Zhichang Guo
{"title":"Non-Gaussian Noise Removal via Gaussian Denoisers with the Gray Level Indicator","authors":"Kehan Shi, Zhichang Guo","doi":"10.1007/s10851-023-01148-9","DOIUrl":"https://doi.org/10.1007/s10851-023-01148-9","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2023-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45182844","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: 1
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