Results 11 to 20 of about 64,955 (216)
Comparing Two Novel LiDAR‐Based Indices for Quantifying Forest Structural Complexity
Ecology and EvolutionForest structural complexity is critical for ecosystem functions, yet standardized metrics for its quantification remain elusive. This study compares two LiDAR‐derived three‐dimensional indices, the box dimension (Db) as a fractal‐based measure, and ...
Tillman Reuter +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
How to avoid a compact set [PDF]
, 2017 A first-order expansion of the $\mathbb{R}$-vector space structure on $\mathbb{R}$ does not define every compact subset of every $\mathbb{R}^n$ if and only if topological and Hausdorff dimension coincide on all closed definable sets. Equivalently, if $A \
Fornasiero, Antongiulio +2 more
core +2 more sources
Lowness for effective Hausdorff dimension [PDF]
Journal of Mathematical Logic, 2014 We examine the sequences A that are low for dimension, i.e. those for which the effective (Hausdorff) dimension relative to A is the same as the unrelativized effective dimension. Lowness for dimension is a weakening of lowness for randomness, a central notion in effective randomness.
Turetsky, Daniel +4 more
openaire +2 more sources
Dimension conservation for self-similar sets and fractal percolation [PDF]
, 2014 We introduce a technique that uses projection properties of fractal percolation to establish dimension conservation results for sections of deterministic self-similar sets.
Falconer, Kenneth, Jin, Xiong
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International Journal of Mathematics and Mathematical Sciences, 1995 We define the coordinate d-dimension print to distinguish sets of same fractal dimension, and investigate its geometrical properties.
Hung Hwan Lee, In Soo Baek
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Physically based method for determining the Hausdorff’s topological dimension of capillary-porous media [PDF]
BIO Web of ConferencesThe soil structure the solid phase and pore space of the soils are a set of self-similar parts of each other at different levels ( for example, on level aggregates, micro-aggregates or elementary particles of soil).
Moiseev Kirill +3 more
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Topological diagonalizations and Hausdorff dimension [PDF]
, 2002 The Hausdorff dimension of a product XxY can be strictly greater than that of Y, even when the Hausdorff dimension of X is zero. But when X is countable, the Hausdorff dimensions of Y and XxY are the same.
Tsaban, Boaz, Weiss, Tomasz
core +7 more sources
Analysis and Geometry in Metric Spaces, 2020 This paper studies the Hausdorff dimension of the intersection of isotropic projections of subsets of ℝ2n, as well as dimension of intersections of sets with isotropic planes. It is shown that if A and B are Borel subsets of ℝ2n of dimension greater than
Román-García Fernando
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