Results 31 to 40 of about 2,269,164 (264)
Electronics, 2022 Hausdorff distance is one of the important distance measures to study the degree of dissimilarity between two sets that had been used in various fields under fuzzy environments. Among those, the framework of single-valued neutrosophic sets (SVNSs) is the
Mehboob Ali +2 more
semanticscholar +1 more source
Borel measures and Hausdorff distance [PDF]
Transactions of the American Mathematical Society, 1988 In this article we study the restriction of Borel measures defined on a metric space X X to the nonempty closed subsets CL ( X ) \operatorname {CL} (X) of X X , topologized by Hausdorff distance. We show that a σ \sigma -finite Radon measure is a
Gerald Beer, Luzviminda Villar
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Reducing the Hausdorff Distance in Medical Image Segmentation With Convolutional Neural Networks [PDF]
IEEE Transactions on Medical Imaging, 2019 The Hausdorff Distance (HD) is widely used in evaluating medical image segmentation methods. However, the existing segmentation methods do not attempt to reduce HD directly. In this paper, we present novel loss functions for training convolutional neural
D. Karimi, S. Salcudean
semanticscholar +1 more source
Hausdorff vs Gromov-Hausdorff distances
, 2023 Let $M$ be a closed Riemannian manifold and let $X\subseteq M$. If the sample $X$ is sufficiently dense relative to the curvature of $M$, then the Gromov-Hausdorff distance between $X$ and $M$ is bounded from below by half their Hausdorff distance, namely $d_{GH}(X,M) \ge \frac{1}{2} d_H(X,M)$.
Adams, Henry +3 more
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Between shapes, using the Hausdorff distance
Computational Geometry, 2022 Given two shapes $A$ and $B$ in the plane with Hausdorff distance $1$, is there a shape $S$ with Hausdorff distance $1/2$ to and from $A$ and $B$? The answer is always yes, and depending on convexity of $A$ and/or $B$, $S$ may be convex, connected, or disconnected. We show that our result can be generalised to give an interpolated shape between $A$ and
Marc van Kreveld +4 more
openaire +9 more sources
IEEE Access, 2023 The notion of a complex hesitant fuzzy set (CHFS) is one of the better tools in order to deal with complex information. Since distance plays a crucial role in order to differentiate between two things or sets, in this paper, we first develop a priority ...
Muhammad Sajjad Ali Khan +4 more
doaj +1 more source
The topology of theρ-hausdorff distance [PDF]
Annali di Matematica Pura ed Applicata, 1991 As the authors say ``the Hausdorff distance... works well as long as the sets lie in a bounded region. In many applications one has to deal with unbounded sets or with collections of bounded sets which are not uniformly bounded''. To deal with these situations this paper builds on earlier work of two of the authors and others and is a comprehensive ...
Roberto Lucchetti +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
Topics in Cognitive Science, EarlyView., 2023 Abstract Representational drift is a phenomenon of increasing interest in the cognitive and neural sciences. While investigations are ongoing for other sensory cortices, recent research has demonstrated the pervasiveness in which it occurs in the piriform cortex for olfaction.
Ann‐Sophie Barwich +1 more
wiley +1 more source
FPT-Algorithms for Computing Gromov-Hausdorff and Interleaving Distances Between Trees [PDF]
, 2019 The Gromov-Hausdorff distance is a natural way to measure the distortion between two metric spaces. However, there has been only limited algorithmic development to compute or approximate this distance.
Farahbakhsh Touli, Elena, Wang, Yusu
core +2 more sources