Results 11 to 20 of about 72,312 (306)
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
Hausdorff Measurable Multifunctions
Journal of Mathematical Analysis and Applications, 1998 Several notions of measurability for multifunctions are introduced and their relations are explained. The main results concern multifunctions \(F\) defined on the product of two separable complete metric spaces, \(T\) and \(X\). The space \(T\) is endowed with the \(\sigma\)-algebra of measurable sets of a Borel measure \(\mu\) and \(X\) with the ...
PIANIGIANI, GIULIO, F. DE BALSI
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A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
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Vector lattices with a Hausdorff uo-Lebesgue topology
, 2021 We investigate the construction of a Hausdorff uo-Lebesgue topology on a vector lattice from a Hausdorff (o)-Lebesgue topology on an order dense ideal, and what the properties of the topologies thus obtained are.
de Jeu, Marcel, Deng, Yang
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Nonstandard Measure Theory-Hausdorff Measure [PDF]
Proceedings of the American Mathematical Society, 1977 In this paper it is shown that the Hausdorff measures λ t {\lambda ^t} for t ∈ [ 0 , ∞ ) t \in [0,\infty ) can be simultaneously represented as ∗ ^\ast finite counting measures in an appropriate ...
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On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets
Mathematics, 2023 In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by having
Najmeddine Attia, Bilel Selmi
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Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps [PDF]
, 2015 The notions of shyness and prevalence generalize the property of being zero and full Haar measure to arbitrary (not necessarily locally compact) Polish groups.
Balka, Richárd +2 more
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Something About h - Measures of Sets in Plane
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this article we estimate the Hausdorff h-measures of the graphs of some functions, for different measure functions.
Bărbulescu Alina
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Strong Marstrand theorems and dimensions of sets formed by subsets of hyperplanes [PDF]
, 2015 We present strong versions of Marstrand's projection theorems and other related theorems. For example, if E is a plane set of positive and finite s-dimensional Hausdorff measure, there is a set X of directions of Lebesgue measure 0, such that the ...
Falconer, Kenneth, Mattila, Pertti
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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