Results 21 to 30 of about 5,104 (219)

Polyline simplification has cubic complexity

open access: yesJournal 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
doaj   +1 more source

Research on Evaluation of Sustainable Development of New Urbanization from the Perspective of Urban Agglomeration under the Pythagorean Fuzzy Sets

open access: yesDiscrete Dynamics in Nature and Society, 2021
In this study, considering the traditional geometric operation laws and Pythagorean fuzzy information, we propose a variety of new distance measures of Pythagorean fuzzy sets such as generalized Pythagorean fuzzy geometric distance (GPFGD) measures and ...
Lingyan Meng, Xiaoyan Wei
doaj   +1 more source

Hausdorff h-measures and p-modules

open access: yesJournal of Numerical Analysis and Approximation Theory, 1978
Not available.
Petru Caraman
doaj   +2 more sources

Carleson Measure and Tent Spaces on the Siegel Upper Half Space

open access: yesAbstract and Applied Analysis, 2012
The Hausdorff capacity on the Heisenberg group is introduced. The Choquet integrals with respect to the Hausdorff capacity on the Heisenberg group are defined. Then the fractional Carleson measures on the Siegel upper half space are discussed.
Kai Zhao
doaj   +1 more source

Projections of measures with small supports

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021
In this paper, we use a characterization of the mutual multifractal Hausdorff dimension in terms of auxiliary measures to investigate the projections of measures with small supports.
Bilel Selmi
doaj  

The McMillan Theorem for Colored Branching Processes and Dimensions of Random Fractals

open access: yesEntropy, 2014
For the simplest colored branching process, we prove an analog to the McMillan theorem and calculate the Hausdorff dimensions of random fractals defined in terms of the limit behavior of empirical measures generated by finite genetic lines.
Victor Bakhtin
doaj   +1 more source

DDSurfer: A Weakly‐Supervised Dual‐Stream Deep Learning Framework for Cortical Surface Reconstruction From Diffusion MRI

open access: yesAdvanced Science, EarlyView.
DDSurfer reconstructs cortical surfaces directly from diffusion MRI without requiring T1‐weighted scans. By fusing complementary microstructural features and learning diffeomorphic deformations, it efficiently generates accurate white matter and pial surfaces, improving geometric fidelity and morphometric reliability across datasets for robust surface ...
Chengjin Li   +10 more
wiley   +1 more source

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

open access: yesIEEE 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
doaj   +1 more source

Cell Segmentation Beyond 2D—A Review of the State‐of‐the‐Art

open access: yesAdvanced Intelligent Discovery, EarlyView.
Cell segmentation underpins many biological image analysis tasks, yet most deep learning methods remain limited to 2D despite the inherently 3D nature of cellular processes. This review surveys segmentation approaches beyond 2D, comparing 2.5D and fully 3D methods, analyzing 31 models and 32 volumetric datasets, and introducing a unified reference ...
Fabian Schmeisser   +6 more
wiley   +1 more source

Hausdorff Outer Measures and the Representation of Coherent Upper Conditional Previsions by the Countably Additive Möbius Transform

open access: yesFractal and Fractional
This paper explores coherent upper conditional previsions, a class of nonlinear functionals that generalize expectations while preserving consistency properties.
Serena Doria
doaj   +1 more source

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