Results 111 to 120 of about 2,287,461 (261)
A full classification of the isometries of the class of ball‐bodies
Bulletin of the London Mathematical Society, EarlyView.Abstract Complementing our previous results, we give a classification of all isometries (not necessarily surjective) of the metric space consisting of ball‐bodies, endowed with the Hausdorff metric. ‘Ball‐bodies’ are convex bodies which are intersections of translates of the Euclidean unit ball.
Shiri Artstein‐Avidan +2 more
wiley +1 more source
Order-unit quantum Gromov–Hausdorff distance [PDF]
Journal of Functional Analysis, 2006 We introduce a new distance dist_oq between compact quantum metric spaces. We show that dist_oq is Lipschitz equivalent to Rieffel's distance dist_q, and give criteria for when a parameterized family of compact quantum metric spaces is continuous with respect to dist_oq.
openaire +2 more sources
Curvature‐dimension condition of sub‐Riemannian α$\alpha$‐Grushin half‐spaces
Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We provide new examples of sub‐Riemannian manifolds with boundary equipped with a smooth measure that satisfy the RCD(K,N)$\mathsf {RCD}(K, N)$ condition. They are constructed by equipping the half‐plane, the hemisphere and the hyperbolic half‐plane with a two‐dimensional almost‐Riemannian structure and a measure that vanishes on their ...
Samuël Borza, Kenshiro Tashiro
wiley +1 more source
Computation of the Hausdorff Distance between Two Compact Convex Sets. [PDF]
Algorithms, 2023 Lange K.
europepmc +1 more source
Topographic Gromov-Hausdorff quantum Hypertopology for Quantum Proper Metric Spaces
, 2014 We construct a topology on the class of pointed proper quantum metric spaces which generalizes the topology of the Gromov-Hausdorff distance on proper metric spaces, and the topology of the dual propinquity on Leibniz quantum compact metric spaces.
Latremoliere, Frederic
core
Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley +1 more source
Interleaving and Gromov-Hausdorff distance
, 2017 35 pages, v3: changed title and added references to uses of interleaving (Section 1.3)
Bubenik, Peter +2 more
openaire +2 more sources
Artificial Intelligence–Based Approaches for Brain Tumor Segmentation in MRI: A Review
NMR in Biomedicine, Volume 38, Issue 11, November 2025.Manually segmenting brain tumors in magnetic resonance imaging is a time‐consuming task that requires years of professional experience and clinical expertise. We proposed a study, which contains a comprehensive review of the brain tumor segmentation techniques. It selects the effective approaches to better understand the AI applications for brain tumor
Khadija Bibi +9 more
wiley +1 more source
Bidirectional meta-Kronecker factored optimizer and Hausdorff distance loss for few-shot medical image segmentation. [PDF]
Sci Rep, 2023 Kim Y, Kang D, Mok Y, Kwon S, Paik J.
europepmc +1 more source
Gromov--Hausdorff Distance to Simplexes
, 2019 Geometric characteristics of metric spaces that appear in formulas of the Gromov--Hausdorff distances from these spaces to so-called simplexes, i.e., to the metric spaces, all whose non-zero distances are the same are studied. The corresponding calculations essentially use geometry of partitions of these spaces. In the finite case, it gives the lengths
Grigor'ev, D. S. +2 more
openaire +2 more sources