Results 11 to 20 of about 41,370 (259)
Hausdorff compactifications [PDF]
Topology and its Applications, 2021 Previously, the authors used the insights of Robinson's non-standard analysis as a powerful tool to extend and simplify the construction of some compactifications of regular spaces. They now show that any Hausdorff compactification is obtainable with their method.
Matt Insall +2 more
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Applied Categorical Structures, 2020 As composites of constant, (co)product, identity, and powerset functors, Kripke polynomial functors form a relevant class of $\mathsf{Set}$-functors in the theory of coalgebras. The main goal of this paper is to expand the theory of limits in categories of coalgebras of Kripke polynomial functors to the context of quantale-enriched categories.
Dirk Hofmann, Pedro Nora
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Hausdorff and Gromov-Hausdorff Stable Subsets of the Medial Axis
Proceedings of the 55th Annual ACM Symposium on Theory of Computing, 2023 In this paper we introduce a pruning of the medial axis called the $(λ,α)$-medial axis ($\textrm{ax}_λ^α$). We prove that the $(λ,α)$-medial axis of a set $K$ is stable in a Gromov-Hausdorff sense under weak assumptions. More formally we prove that if $K$ and $K'$ are close in the Hausdorff ($d_H$) sense then the $(λ,α)$-medial axes of $K$ and $K'$ are
Lieutier, André, Wintraecken, Mathijs
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The Complexity of the Hausdorff Distance
Discrete & Computational Geometry, 2023 AbstractWe investigate the computational complexity of computing the Hausdorff distance. Specifically, we show that the decision problem of whether the Hausdorff distance of two semi-algebraic sets is bounded by a given threshold is complete for the complexity class $${ \forall \exists _{<}\mathbb {R}} $$ ∀
Paul Jungeblut +2 more
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GAN‐LSTM‐3D: An efficient method for lung tumour 3D reconstruction enhanced by attention‐based LSTM
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Three‐dimensional (3D) image reconstruction of tumours can visualise their structures with precision and high resolution. In this article, GAN‐LSTM‐3D method is proposed for 3D reconstruction of lung cancer tumours from 2D CT images. Our method consists of three phases: lung segmentation, tumour segmentation, and tumour 3D reconstruction. Lung
Lu Hong +12 more
wiley +1 more source
Pre-Hausdorff and Hausdorff proximity spaces
Filomat, 2017 In this paper, an explicit characterization of the separation properties for T0, T1, PreT2 (pre-Hausdorff) and T2 (Hausdorff) is given in the topological category of proximity spaces. Moreover, specific relationships that arise among the various Ti,i = 0,1,2 and PreT2 structures are examined in this category.
Kula, Muammer +2 more
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Hausdorff-Distance Enhanced Matching of Scale Invariant Feature Transform Descriptors in Context of Image Querying [PDF]
, 2012 Reliable and effective matching of visual descriptors is a key step for many vision applications, e.g. image retrieval. In this paper, we propose to integrate the Hausdorff distance matching together with our pairing algorithm, in order to obtain a ...
D. Wilson +3 more
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Molecular structure of fac-[Mo(CO)3(DMSO)3]
Acta Crystallographica Section E: Crystallographic Communications, 2021 The title compound, tricarbonyltris(dimethyl sulfoxide)molybdenum, [Mo(C2H6OS)3(CO)3] or fac-[Mo(CO)3(DMSO)3], crystallizes in the triclinic space group P\overline{1} with two molecules in the unit cell.
Benedict J. Elvers +2 more
doaj +1 more source
On simultaneous local dimension functions of subsets of Rd [PDF]
, 2015 Date of Acceptance: 04/05/2015For a subset E ⊑ Rd and x ∈ Rd, the local Hausdorff dimension function of E at x and the local packing dimension function of E at x are defined by (Formula presented.) where dimH and dimP denote the Hausdorff dimension and ...
Olsen, Lars Ole Ronnow +1 more
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