Pub Date : 2022-06-23DOI: 10.1007/s10851-022-01109-8
Zhengwu Zhang, B. Saparbayeva
{"title":"Amplitude Mean of Functional Data on S2documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$mathbb {S}^2$$end{document} a","authors":"Zhengwu Zhang, B. Saparbayeva","doi":"10.1007/s10851-022-01109-8","DOIUrl":"https://doi.org/10.1007/s10851-022-01109-8","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43418933","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}
Pub Date : 2022-06-22DOI: 10.1007/s10851-022-01107-w
L. Calatroni, M. Huska, S. Morigi, G. Recupero
{"title":"A Unified Surface Geometric Framework for Feature-Aware Denoising, Hole Filling and Context-Aware Completion","authors":"L. Calatroni, M. Huska, S. Morigi, G. Recupero","doi":"10.1007/s10851-022-01107-w","DOIUrl":"https://doi.org/10.1007/s10851-022-01107-w","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48247308","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}
Pub Date : 2022-06-18DOI: 10.1007/s10851-022-01105-y
Matteo Pedone, Abdelrahman Mostafa, J. Heikkilä
{"title":"Learning-Based Non-rigid Video Depth Estimation Using Invariants to Generalized Bas-Relief Transformations","authors":"Matteo Pedone, Abdelrahman Mostafa, J. Heikkilä","doi":"10.1007/s10851-022-01105-y","DOIUrl":"https://doi.org/10.1007/s10851-022-01105-y","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42403849","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}
Pub Date : 2022-06-14DOI: 10.1007/s10851-023-01144-z
Ikram Jumakulyyev, T. Schultz
{"title":"Combining Image Space and q-Space PDEs for Lossless Compression of Diffusion MR Images","authors":"Ikram Jumakulyyev, T. Schultz","doi":"10.1007/s10851-023-01144-z","DOIUrl":"https://doi.org/10.1007/s10851-023-01144-z","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43757899","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}
Pub Date : 2022-06-02DOI: 10.1007/s10851-022-01094-y
Nicolas Passat, Phuc Ngo, Yukiko Kenmochi, Hugues Talbot
Topology preservation is a property of affine transformations in ({{{mathbb {R}}}^2}), but not in ({{mathbb {Z}}}^2). In this article, given a binary object ({mathsf {X}} subset {{mathbb {Z}}}^2) and an affine transformation ({{mathcal {A}}}), we propose a method for building a binary object (widehat{{mathsf {X}}} subset {{mathbb {Z}}}^2) resulting from the application of ({{mathcal {A}}}) on ({mathsf {X}}). Our purpose is, in particular, to preserve the homotopy type between ({mathsf {X}}) and (widehat{{mathsf {X}}}). To this end, we formulate the construction of (widehat{{mathsf {X}}}) from ({{mathsf {X}}}) as an optimization problem in the space of cellular complexes, and we solve this problem under topological constraints. More precisely, we define a cellular space ({{mathbb {H}}}) by superimposition of two cellular spaces ({{mathbb {F}}}) and ({{mathbb {G}}}) corresponding to the canonical Cartesian grid of ({{mathbb {Z}}}^2) where ({{mathsf {X}}}) is defined, and a regular grid induced by the affine transformation ({{{mathcal {A}}}}), respectively. The object (widehat{{mathsf {X}}}) is then computed by building a homotopic transformation within the space ({{mathbb {H}}}), starting from the complex in ({{mathbb {G}}}) resulting from the transformation of ({mathsf {X}}) with respect to ({{mathcal {A}}}) and ending at a complex fitting (widehat{{mathsf {X}}}) in ({{mathbb {F}}}) that can be embedded back into ({{mathbb {Z}}}^2).
{"title":"Homotopic Affine Transformations in the 2D Cartesian Grid","authors":"Nicolas Passat, Phuc Ngo, Yukiko Kenmochi, Hugues Talbot","doi":"10.1007/s10851-022-01094-y","DOIUrl":"https://doi.org/10.1007/s10851-022-01094-y","url":null,"abstract":"<p>Topology preservation is a property of affine transformations in <span>({{{mathbb {R}}}^2})</span>, but not in <span>({{mathbb {Z}}}^2)</span>. In this article, given a binary object <span>({mathsf {X}} subset {{mathbb {Z}}}^2)</span> and an affine transformation <span>({{mathcal {A}}})</span>, we propose a method for building a binary object <span>(widehat{{mathsf {X}}} subset {{mathbb {Z}}}^2)</span> resulting from the application of <span>({{mathcal {A}}})</span> on <span>({mathsf {X}})</span>. Our purpose is, in particular, to preserve the homotopy type between <span>({mathsf {X}})</span> and <span>(widehat{{mathsf {X}}})</span>. To this end, we formulate the construction of <span>(widehat{{mathsf {X}}})</span> from <span>({{mathsf {X}}})</span> as an optimization problem in the space of cellular complexes, and we solve this problem under topological constraints. More precisely, we define a cellular space <span>({{mathbb {H}}})</span> by superimposition of two cellular spaces <span>({{mathbb {F}}})</span> and <span>({{mathbb {G}}})</span> corresponding to the canonical Cartesian grid of <span>({{mathbb {Z}}}^2)</span> where <span>({{mathsf {X}}})</span> is defined, and a regular grid induced by the affine transformation <span>({{{mathcal {A}}}})</span>, respectively. The object <span>(widehat{{mathsf {X}}})</span> is then computed by building a homotopic transformation within the space <span>({{mathbb {H}}})</span>, starting from the complex in <span>({{mathbb {G}}})</span> resulting from the transformation of <span>({mathsf {X}})</span> with respect to <span>({{mathcal {A}}})</span> and ending at a complex fitting <span>(widehat{{mathsf {X}}})</span> in <span>({{mathbb {F}}})</span> that can be embedded back into <span>({{mathbb {Z}}}^2)</span>.</p>","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138540961","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}
Pub Date : 2022-05-26DOI: 10.1007/s10851-022-01097-9
Shai Biton, Guy Gilboa
{"title":"Adaptive Anisotropic Total Variation: Analysis and Experimental Findings of Nonlinear Spectral Properties","authors":"Shai Biton, Guy Gilboa","doi":"10.1007/s10851-022-01097-9","DOIUrl":"https://doi.org/10.1007/s10851-022-01097-9","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43087981","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}
Pub Date : 2022-05-26DOI: 10.1007/s10851-022-01103-0
Jean-Baptiste Bellet
{"title":"An Exact Radon Formula for Lambertian Tomography","authors":"Jean-Baptiste Bellet","doi":"10.1007/s10851-022-01103-0","DOIUrl":"https://doi.org/10.1007/s10851-022-01103-0","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49140616","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}
Pub Date : 2022-05-25DOI: 10.1007/s10851-022-01104-z
Nicolas Boutry, Laurent Najman, Thierry G'eraud
{"title":"Some Equivalence Relation between Persistent Homology and Morphological Dynamics","authors":"Nicolas Boutry, Laurent Najman, Thierry G'eraud","doi":"10.1007/s10851-022-01104-z","DOIUrl":"https://doi.org/10.1007/s10851-022-01104-z","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49393890","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}
Pub Date : 2022-05-23DOI: 10.1007/s10851-022-01102-1
Zoé Lambert, Carole Le Guyader, C. Petitjean
{"title":"Enforcing Geometrical Priors in Deep Networks for Semantic Segmentation Applied to Radiotherapy Planning","authors":"Zoé Lambert, Carole Le Guyader, C. Petitjean","doi":"10.1007/s10851-022-01102-1","DOIUrl":"https://doi.org/10.1007/s10851-022-01102-1","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46715680","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}
Pub Date : 2022-05-20DOI: 10.1007/s10851-022-01098-8
É. Le Quentrec, L. Mazo, É. Baudrier, M. Tajine
{"title":"Monotonic Sampling of a Continuous Closed Curve with Respect to Its Gauss Digitization: Application to Length Estimation","authors":"É. Le Quentrec, L. Mazo, É. Baudrier, M. Tajine","doi":"10.1007/s10851-022-01098-8","DOIUrl":"https://doi.org/10.1007/s10851-022-01098-8","url":null,"abstract":"","PeriodicalId":16196,"journal":{"name":"Journal of Mathematical Imaging and Vision","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42954496","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}
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