Results 71 to 80 of about 2,287,461 (261)
Limit behaviour of constant distance boundaries of Jordan curves
AIMS Mathematics, 2022 For a Jordan curve Γ in the complex plane, its constant distance boundary Γλ is an inflated version of Γ. A flatness condition, (1/2,r0)-chordal property, guarantees that Γλ is a Jordan curve when λ is not too large. We prove that Γλ converges to Γ, as λ
Feifei Qu, Xin Wei
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Advanced Intelligent Systems, EarlyView.This article introduces EndoARSS, a novel multitask learning framework that combines surgical activity recognition and semantic segmentation for endoscopic surgery. Utilizing the foundation model with novel modules like task efficient shared low‐rank adapters and spatially aware multiscale attention, EndoARSS can effectively tackle challenges in ...
Guankun Wang +5 more
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Methods of optimization of Hausdorff distance between convex rotating figures [PDF]
Yugoslav Journal of Operations Research, 2020 We studied the problem of optimizing the Hausdorff distance between two convex polygons. Its minimization is chosen as the criterion of optimality. It is believed that one of the polygons can make arbitrary movements on the plane, including parallel ...
Lebedev Pavel, Ushakov Vladimir
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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
On the Budgeted Hausdorff Distance Problem
, 2023 To appear in CCCG ...
Har-Peled, Sariel, Raichel, Benjamin
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, EarlyView.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
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Approximation of the Hausdorff distance by the distance of continuous surjections
Topology and its Applications, 2007 AbstractThe aim of this paper is to answer the following question: let (X,ϱ) and (Y,d) be metric spaces, let A,B⊂Y be continuous images of the space X and let f:X→A be a fixed continuous surjection. When is the inequalitydH(A,B)⩽inf{dsup(f,g):g∈C(X,Y),g(X)=B} replaced by the equality?
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On the categorical meaning of Hausdorff and Gromov distances, I
Topology and its Applications, 2010 Hausdorff and Gromov distances are introduced and treated in the context of categories enriched over a commutative unital quantale V. The Hausdorff functor which, for every V-category X, provides the powerset of X with a suitable V-category structure, is part of a monad on V-Cat whose Eilenberg-Moore algebras are order-complete. The Gromov construction
Akhvlediani, Andrei +2 more
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Convergence properties of dynamic mode decomposition for analytic interval maps
Communications on Pure and Applied Mathematics, EarlyView.Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji +3 more
wiley +1 more source
Journal of New Theory, 2015 In this paper we present a new distance measure between neutrosophic refined sets on the basis of extended Hausdorff distance of neutrosophic set and we study some of their basic properties.
Said Broumi, Florentin Smarandache
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