Results 31 to 40 of about 2,287,461 (261)

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, Frick, Florian, Majhi, Sushovan, McBride, Nicholas   +3 more
openaire   +2 more sources

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, Tillmann Miltzow, Tim Ophelders, Willem Sonke, Jordi L. Vermeulen   +4 more
openaire   +9 more sources

Priority Degrees and Distance Measures of Complex Hesitant Fuzzy Sets With Application to Multi-Criteria Decision Making

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, Fariha Anjum, Ikhtesham Ullah, Tapan Senapati, Sarbast Moslem   +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, Roger J.-B. Wets, Hedy Attouch   +2 more
openaire   +3 more sources

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, Mohammad Hossein Modirrousta, Mohammad Hossein Nasirpour, Mohammadreza Mirshekari Chargari, Fardin Mohammadi, Seyed Vahid Moravvej, Leila Rezvanishad, Mohammadreza Rezvanishad, Ivan Bakhshayeshi, Roohallah Alizadehsani, Imran Razzak, Hamid Alinejad‐Rokny, Saeid Nahavandi   +12 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

The Wire Is Not the Territory: Understanding Representational Drift in Olfaction With Dynamical Systems Theory

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, Gabriel J. Severino   +1 more
wiley   +1 more source

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, Antonio Cerasa, Giancarlo Zito, Paolo Perrotta, Francesco Chiaravalloti, Giulia Donzuso, Franceso Fera, Eleonora Bilotta, Pietro Pantano, Aldo Quattrone, Alzheimer's Disease Neuroimaging Initiative   +10 more
doaj   +1 more source

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, Reza Saadati, Chenkuan Li, Fahd Jarad   +3 more
doaj   +1 more source