Journal of Mathematical Imaging and Vision最新文献

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A Retinex-Based Selective Segmentation Model for Inhomogeneous Images 基于视黄醇的非均匀图像选择性分割模型
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2022-11-06 DOI: 10.1007/s10851-022-01127-6
L. Min, Xiaoyu Lian, Zhengmeng Jin, Minling Zheng
{"title":"A Retinex-Based Selective Segmentation Model for Inhomogeneous Images","authors":"L. Min, Xiaoyu Lian, Zhengmeng Jin, Minling Zheng","doi":"10.1007/s10851-022-01127-6","DOIUrl":"https://doi.org/10.1007/s10851-022-01127-6","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47653424","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
Anisotropic Variational Models for Image Denoising Based on Directional Hessian 基于方向Hessian的图像去噪各向异性变分模型
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2022-10-27 DOI: 10.1007/s10851-022-01122-x
Guangyu Yang, Weibo Wei, Zhenkuan Pan
{"title":"Anisotropic Variational Models for Image Denoising Based on Directional Hessian","authors":"Guangyu Yang, Weibo Wei, Zhenkuan Pan","doi":"10.1007/s10851-022-01122-x","DOIUrl":"https://doi.org/10.1007/s10851-022-01122-x","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43086538","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
Generalized Polar Coordinate Moments with Quasi Inner Product 具有拟内积的广义极坐标矩
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2022-10-07 DOI: 10.1007/s10851-022-01124-9
Jianwei Yang, Beibei Wang, Yuepeng Wang
{"title":"Generalized Polar Coordinate Moments with Quasi Inner Product","authors":"Jianwei Yang, Beibei Wang, Yuepeng Wang","doi":"10.1007/s10851-022-01124-9","DOIUrl":"https://doi.org/10.1007/s10851-022-01124-9","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47149901","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
Analysis of (sub-)Riemannian PDE-G-CNNs (亚)黎曼PDE-G-CNNs的分析
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2022-10-03 DOI: 10.48550/arXiv.2210.00935
Gijs Bellaard, Daan Bon, Gautam Pai, B. Smets, R. Duits
{"title":"Analysis of (sub-)Riemannian PDE-G-CNNs","authors":"Gijs Bellaard, Daan Bon, Gautam Pai, B. Smets, R. Duits","doi":"10.48550/arXiv.2210.00935","DOIUrl":"https://doi.org/10.48550/arXiv.2210.00935","url":null,"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":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46789078","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
Generalised Watson Distribution on the Hypersphere with Applications to Clustering 超球上的广义Watson分布及其在聚类中的应用
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2022-08-18 DOI: 10.1007/s10851-022-01118-7
S. Maybank, Liu Liu, Dacheng Tao
{"title":"Generalised Watson Distribution on the Hypersphere with Applications to Clustering","authors":"S. Maybank, Liu Liu, Dacheng Tao","doi":"10.1007/s10851-022-01118-7","DOIUrl":"https://doi.org/10.1007/s10851-022-01118-7","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43053212","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
The 2-Orthogonal and Orthogonal Radial Shape Moments for Image Representation and Recognition 用于图像表示和识别的2-正交和正交径向形状矩
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2022-08-16 DOI: 10.1007/s10851-022-01113-y
A. Hjouji, J. EL-Mekkaoui
{"title":"The 2-Orthogonal and Orthogonal Radial Shape Moments for Image Representation and Recognition","authors":"A. Hjouji, J. EL-Mekkaoui","doi":"10.1007/s10851-022-01113-y","DOIUrl":"https://doi.org/10.1007/s10851-022-01113-y","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43740252","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
Guest Editorial: Discrete Geometry and Mathematical Morphology 客座编辑:离散几何与数学形态学
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2022-08-12 DOI: 10.1007/s10851-022-01117-8
F. Malmberg, Joakim Lindblad, Natasa Sladoje
{"title":"Guest Editorial: Discrete Geometry and Mathematical Morphology","authors":"F. Malmberg, Joakim Lindblad, Natasa Sladoje","doi":"10.1007/s10851-022-01117-8","DOIUrl":"https://doi.org/10.1007/s10851-022-01117-8","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44485369","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
A Local MM Subspace Method for Solving Constrained Variational Problems in Image Recovery 图像恢复中求解约束变分问题的局部MM子空间方法
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2022-08-07 DOI: 10.1007/s10851-022-01112-z
É. Chouzenoux, Ségolène Martin, J. Pesquet
{"title":"A Local MM Subspace Method for Solving Constrained Variational Problems in Image Recovery","authors":"É. Chouzenoux, Ségolène Martin, J. Pesquet","doi":"10.1007/s10851-022-01112-z","DOIUrl":"https://doi.org/10.1007/s10851-022-01112-z","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43480507","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: 6
Video Inpainting Using Advanced Homography-based Registration Method 使用先进的基于同形图的配准方法的视频喷漆
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2022-07-25 DOI: 10.1007/s10851-022-01111-0
B. Janardhana Rao, Y. Chakrapani, S. Srinivas Kumar
{"title":"Video Inpainting Using Advanced Homography-based Registration Method","authors":"B. Janardhana Rao, Y. Chakrapani, S. Srinivas Kumar","doi":"10.1007/s10851-022-01111-0","DOIUrl":"https://doi.org/10.1007/s10851-022-01111-0","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45390695","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
ADMM-Based Residual Whiteness Principle for Automatic Parameter Selection in Single Image Super-Resolution Problems 基于admm的残差白度原理在单幅图像超分辨率问题中的自动参数选择
IF 2 4区 数学
Journal of Mathematical Imaging and Vision Pub Date : 2022-07-05 DOI: 10.1007/s10851-022-01110-1
M. Pragliola, L. Calatroni, A. Lanza, F. Sgallari
{"title":"ADMM-Based Residual Whiteness Principle for Automatic Parameter Selection in Single Image Super-Resolution Problems","authors":"M. Pragliola, L. Calatroni, A. Lanza, F. Sgallari","doi":"10.1007/s10851-022-01110-1","DOIUrl":"https://doi.org/10.1007/s10851-022-01110-1","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42845640","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: 4
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