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Journal of Mathematical Imaging and Vision最新文献

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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
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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":" ","pages":""},"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":"65 1","pages":"754 - 769"},"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":" ","pages":""},"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":"65 1","pages":"702 - 717"},"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":" ","pages":""},"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":"1 1","pages":"0"},"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":"1 1","pages":"1-17"},"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
Analysis of (sub-)Riemannian PDE-G-CNNs (亚)黎曼pde - g - cnn的分析
4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-04-16 DOI: 10.1007/s10851-023-01147-w
Gijs Bellaard, Daan L. J. Bon, Gautam Pai, Bart M. N. Smets, Remco Duits
{"title":"Analysis of (sub-)Riemannian PDE-G-CNNs","authors":"Gijs Bellaard, Daan L. J. Bon, Gautam Pai, Bart M. N. Smets, Remco Duits","doi":"10.1007/s10851-023-01147-w","DOIUrl":"https://doi.org/10.1007/s10851-023-01147-w","url":null,"abstract":"Abstract Group equivariant convolutional neural networks (G-CNNs) have been successfully applied in geometric deep learning. Typically, G-CNNs have the advantage over CNNs that they do not waste network capacity on training symmetries that should have been hard-coded in the network. The recently introduced framework of PDE-based G-CNNs (PDE-G-CNNs) generalizes G-CNNs. PDE-G-CNNs have the core advantages that they simultaneously (1) reduce network complexity, (2) increase classification performance, and (3) provide geometric interpretability. Their implementations primarily consist of linear and morphological convolutions with kernels. In this paper, we show that the previously suggested approximative morphological kernels do not always accurately approximate the exact kernels accurately. More specifically, depending on the spatial anisotropy of the Riemannian metric, we argue that one must resort to sub-Riemannian approximations. We solve this problem by providing a new approximative kernel that works regardless of the anisotropy. We provide new theorems with better error estimates of the approximative kernels, and prove that they all carry the same reflectional symmetries as the exact ones. We test the effectiveness of multiple approximative kernels within the PDE-G-CNN framework on two datasets, and observe an improvement with the new approximative kernels. We report that the PDE-G-CNNs again allow for a considerable reduction of network complexity while having comparable or better performance than G-CNNs and CNNs on the two datasets. Moreover, PDE-G-CNNs have the advantage of better geometric interpretability over G-CNNs, as the morphological kernels are related to association fields from neurogeometry.","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136243274","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
Appreciation to Journal of Mathematical Imaging and Vision Reviewers 感谢《数学成像与视觉评论杂志》
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2023-04-01 DOI: 10.1007/s10851-023-01141-2
{"title":"Appreciation to Journal of Mathematical Imaging and Vision Reviewers","authors":"","doi":"10.1007/s10851-023-01141-2","DOIUrl":"https://doi.org/10.1007/s10851-023-01141-2","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":"65 1","pages":"371-372"},"PeriodicalIF":2.0,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"52392130","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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