Results 121 to 130 of about 195 (142)

Calculation of the Gromov–Hausdorff Distance Using the Borsuk Number

Moscow University Mathematics Bulletin, 2023
The Gromov-Hausdorff distance is not only a classical invariant in metric geometry, it also proved to be an important tool in Imaging and its related fields. However, its application in any practical context is severely resticted by the difficulty of its computation. Surprisingly enough, the authors showed in [Chebyshevskiĭ Sb. 21, No. 2(74), 169--189 (
Alexander Ivanov, Ivanov A O, Tuzhilin A A   +2 more
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Gromov–Hausdorff distance for pointed metric spaces

Journal of Analysis, 2016
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David Herron, Herron David A
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Geometry of non-Archimedean Gromov-Hausdorff distance [PDF]

P-Adic Numbers, Ultrametric Analysis, and Applications, 2009
49 ...
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Gromov-Hausdorff distances in Euclidean spaces

2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition Workshops, 2008
The purpose of this paper is to study the relationship between measures of dissimilarity between shapes in Euclidean space. We first concentrate on the pair Gromov-Hausdorff distance (GH) versus Hausdorff distance under the action of Euclidean isometries (EH). Then, we (1) show they are comparable in a precise sense that is not the linear behaviour one
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Estimates for Modified (Euclidean) Gromov–Hausdorff Distance

Moscow University Mathematics Bulletin
The Gromov-Hausdorff distance \(d_{\mathrm{GH}(X, Y ) }\) is well-known to be bounded above and below by the diameters of the sets \(X\) and~\(Y\). The main result of the paper under review gives analogous (sharp) bounds for the Euclidean Gromov-Hausdorff distance in the case of the group of all motions \(|r_X - r_Y | \le d_{\mathcal{G}}(X, Y ) \le ...
exaly   +2 more sources

Gromov-Hausdorff Distances

2022
Jihoon Lee, Carlos Morales Rojas
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Gromov–Hausdorff Distance

2004
Rolf Schimmrigk, Steven Duplij, Antoine Van Proeyen, Władysław Marcinek, Gert Roepstorff, Władysław Marcinek, Władysław Marcinek, Steven Duplij, Steven Duplij, Rolf Schimmrigk, Massimo Bianchi, Mikhail Shifman, Robert Marnelius, Giovanni Landi, Władysław Marcinek, Peter Presnajder, Daniel Hernandez Ruiperez, Steven Duplij, Robert Marnelius, Silvia Penati, Steven Duplij, Andrzej Frydryszak, Cosmas Zachos, Sergey Cherkis, Hugo Garcia-Compean, Tamiaki Yoneya, Machiko Hatsuda, Steven Duplij   +27 more
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Bunce-Deddens Algebras as Quantum Gromov-Hausdorff Distance Limits of Circle Algebras

Integral Equations and Operator Theory, 2021
Frédéric Latrémolière, Konrad Aguilar   +1 more
exaly  

Hausdorff Implementation of Linear Geodesics in the Gromov–Hausdorff Space

Journal of Mathematical Sciences, 2023
Alexander Ivanov, A A Tuzhilin, Ivanov A O   +2 more
exaly  

Computational Aspects of the Gromov–Hausdorff Distance and its Application in Non-rigid Shape Matching

Discrete and Computational Geometry, 2017
Felix Schmiedl
exaly