Results 11 to 20 of about 5,104 (219)
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
ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES
Проблемы анализа, 2023 In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets 𝐾(𝛼, 𝛽) for some non-regular Moran measures satisfying the so-called Strong Separation Condition.We obtain sufficient conditions for the valid ...
B. Selmi, N. Yu. Svetova
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On Focal Borel Probability Measures
Mathematics, 2022 The novel concept of focality is introduced for Borel probability measures on compact Hausdorff topological spaces. We characterize focal Borel probability measures as those Borel probability measures that are strictly positive on every nonempty open ...
Francisco Javier García-Pacheco +2 more
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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
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An evaluation of performance measures for arterial brain vessel segmentation
BMC Medical Imaging, 2021 Background Arterial brain vessel segmentation allows utilising clinically relevant information contained within the cerebral vascular tree. Currently, however, no standardised performance measure is available to evaluate the quality of cerebral vessel ...
Orhun Utku Aydin +7 more
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On the equality of Hausdorff measure and Hausdorff content [PDF]
Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2015 We are interested in situations where the Hausdor measure and Hausdorff content of a set are equal in the critical dimension. Our main result shows that this equality holds for any subset of a self-similar set corresponding to a nontrivial cylinder of an irreducible subshift of finite type, and thus also for any self-similar or graph-directed self ...
Farkas, Ábel, Fraser, Jonathan M
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Multiscale Analysis of 1-rectifiable Measures II: Characterizations
Analysis and Geometry in Metric Spaces, 2017 A measure is 1-rectifiable if there is a countable union of finite length curves whose complement has zero measure. We characterize 1-rectifiable Radon measures μ in n-dimensional Euclidean space for all n ≥ 2 in terms of positivity of the lower density ...
Badger Matthew, Schul Raanan
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Mathematics, 2021 In this paper, a tripled fractional differential system is introduced as three associated impulsive equations. The existence investigation of the solution is based on contraction principle and measures of noncompactness in terms of tripled fixed point ...
Sina Etemad +3 more
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Some typical properties of dimensions of sets and measures
Abstract and Applied Analysis, 2005 This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff ...
Józef Myjak
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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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