Results 41 to 50 of about 7,273 (258)
On the property of Kelley for Hausdorff continua
Revista Integración, 2020 We introduce the concepts Hausdorff maximal limit continuum and Hausdorff strong maximal limit continuum, for Hausdorff continua; these definitions extend the concepts of maximal limit continuum and strong maximal limit continuum, respectiveley ...
Mauricio Chacón-Tirado +1 more
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Nearly-doubling spaces of persistence diagrams
Journal of Computational Geometry, 2023 The space of persistence diagrams under bottleneck distance is known to have infinite doubling dimension. Because many metric search algorithms and data structures have bounds that depend on the dimension of the search space, the high dimensionality ...
Donald Sheehy, Siddharth Sheth
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Metric Segments in Gromov-Hausdorff class
Chebyshevskii sbornik, 2022 We study properties of metric segments in the class of all metric spaces considered up to an isometry, endowed with Gromov--Hausdorff distance. On the isometry classes of all compact metric spaces, the Gromov-Hausdorff distance is a metric. A metric segment is a class that consists of points lying between two given ones. By von Neumann--Bernays--Gödel (
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Representative trees in the Hausdorff metric.
, 2022 Representative tree (a) and similar trees (b) and (c) that are close to tree (a) in the Hausdorff metric. (TIF)
Reem Khalil (10898163) +3 more
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Method and Algorithms for Computing Fuzzy Fréchet and Hausdorff Distance
MathematicsAccurate image similarity assessment is a key problem in computer vision, particularly in segmentation and classification problems. Classical Hausdorff and Fréchet metrics provide pointwise distance values and do not allow similarity to be evaluated in ...
Mykhailo Zarichnyi +3 more
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Hyperspaces with the Hausdorff Metric and Uniform ANR's
Journal of the Mathematical Society of Japan, 2005 The authors study the hyperspace \(H\) of nonempty closed subsets of a metric space \(X\) with the Hausdorff metric. They provide a sufficient condition on \(X\) in order that each component of \(H\) is a uniform AR. In case of a totally bounded metric space \(X\), a necessary and sufficient condition is given for \(H\) to be a uniform ANR.
KURIHARA, Masayuki +2 more
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Cell Segmentation Beyond 2D—A Review of the State‐of‐the‐Art
Advanced Intelligent Discovery, EarlyView.Cell segmentation underpins many biological image analysis tasks, yet most deep learning methods remain limited to 2D despite the inherently 3D nature of cellular processes. This review surveys segmentation approaches beyond 2D, comparing 2.5D and fully 3D methods, analyzing 31 models and 32 volumetric datasets, and introducing a unified reference ...
Fabian Schmeisser +6 more
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Mathematics, 2019 In this paper, we obtain multifractals (attractors) in the framework of Hausdorff b-metric spaces. Fractals and multifractals are defined to be the fixed points of associated fractal operators, which are known as attractors in the literature of fractals.
Sudesh Kumari +3 more
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Codimension formulae for the intersection of fractal subsets of Cantor spaces
, 2015 We examine the dimensions of the intersection of a subset E of an m-ary Cantor space Cm with the image of a subset F under a random isometry with respect to a natural metric.
Falconer, Kenneth John, Donoven, Casey
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BMPCQA: Bioinspired Metaverse Point Cloud Quality Assessment Based on Large Multimodal Models
Advanced Intelligent Systems, EarlyView.This study presents a bioinspired metaverse point cloud quality assessment metric, which simulates the human visual evaluation process to perform the point cloud quality assessment task. It first extracts rendering projection video features, normal image features, and point cloud patch features, which are then fed into a large multimodal model to ...
Huiyu Duan +7 more
wiley +1 more source