Results 21 to 30 of about 8,805 (204)
On optimal polyline simplification using the Hausdorff and Fréchet distance
Journal of Computational Geometry, 2020 We revisit the classical polygonal line simplification problem and study it using the Hausdorff distance and Fréchet distance. Interestingly, no previous authors studied line simplification under these measures in its pure form, namely: for a given ε ...
Marc van Kreveld +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
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
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Polyline simplification has cubic complexity
Journal of Computational Geometry, 2021 $\DeclareMathOperator{\poly}{poly}$In the classic polyline simplification problem, given a polygonal curve~$P$ consisting of $n$ vertices and an error threshold $\delta \geq 0$, we want to replace $P$ by a subsequence~$Q$ of minimal size such that the ...
Karl Bringmann, Bhaskar Ray Chaudhury
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The Hausdorff Algebra Fuzzy Distance and its Basic Properties [PDF]
Engineering and Technology Journal, 2021 In this article we recall the definition of algebra fuzzy metric space and its basic properties. In order to introduced the Hausdorff algebra fuzzy metric from fuzzy compact set to another fuzzy compact set we define the algebra fuzzy distance between ...
Zainab Khudhair, Jehad Kider
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Fully automated segmentation of the pons and midbrain using human T1 MR brain images. [PDF]
PLoS ONE, 2014 This paper describes a novel method to automatically segment the human brainstem into midbrain and pons, called labs: Landmark-based Automated Brainstem Segmentation. LABS processes high-resolution structural magnetic resonance images (MRIs) according to
Salvatore Nigro +10 more
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The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces
Mathematics, 2022 This paper introduces a complete Gn-Menger space and defines the Hausdorff–Pompeiu distance in the space. Furthermore, we show a novel fixed-point theorem for Gn-Menger-θ-contractions in fractal spaces.
Donal O’Regan +3 more
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Edge Eigenface Weighted Hausdorff Distance for Face Recognition [PDF]
International Journal of Computational Intelligence Systems, 2011 The different face regions have different degrees of importance for face recognition. In previous Hausdorff distance (HD) measures, points are treated as same importance, or weight different points that calculated from gray domain.
Huachun Tan +6 more
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The topology of theρ-hausdorff distance
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 ...
Attouch, Hedy +2 more
openaire +3 more sources
The Hausdorff core problem on simple polygons
Journal of Computational Geometry, 2014 A polygon \(Q\) is a \(k\)-bounded Hausdorff Core of a polygon \(P\) if \(P\) contains \(Q\), \(Q\) is convex, and the Hausdorff distance between \(P\) and \(Q\) is at most \(k\).
Reza Dorrigiv +7 more
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