Results 61 to 70 of about 2,265 (192)

Strongly nonlinear potential theory on metric spaces

Abstract and Applied Analysis, 2002
We define Orlicz-Sobolev spaces on an arbitrary metric space with a Borel regular outer measure, and we develop a capacity theory based on these spaces. We study basic properties of capacity and several convergence results.
Noureddine Aïssaoui
doaj   +1 more source

Medial Axis Aware Learning of Signed Distance Functions

Computer Graphics Forum, EarlyView.
Abstract We propose a novel variational method to compute a highly accurate global signed distance function (SDF) to a given point cloud. To this end, the jump set of the gradient of the SDF, which coincides with the medial axis of the surface, is explicitly taken into account through a higher‐order variational formulation that enforces linear growth ...
Samuel Weidemaier, Christoph Norden‐Smoch, Martin Rumpf   +2 more
wiley   +1 more source

Advances in 4D Representation: Geometry, Motion, and Interaction

Computer Graphics Forum, EarlyView.
We survey 4D representation through three key pillars — geometry, motion, and interaction — offering a selective, representation‐centric perspective to guide researchers in choosing and customizing the right 4D representation for their tasks. Abstract We present a survey on 4D generation and reconstruction, a fast‐evolving subfield of computer graphics
M. Zhao, S. Nag, K. Wang, A. Vora, G. Ji, P. Chun, A. Mahdavi‐Amiri, H. Zhang   +7 more
wiley   +1 more source

Some Results in Neutrosophic Soft Topology Concerning Neutrosophic Soft ∗b Open Sets

Journal of Function Spaces, 2021
In this article, new generalised neutrosophic soft open known as neutrosophic soft ∗b open set is introduced in neutrosophic soft topological spaces. Neutrosophic soft ∗bopen set is generated with the help of neutrosophic soft semiopen and neutrosophic ...
Arif Mehmood, Saleem Abdullah, Mohammed M. Al-Shomrani, Muhammad Imran Khan, Orawit Thinnukool   +4 more
doaj   +1 more source

Deep learning assisted high‐resolution microscopy image processing for phase segmentation in functional composite materials

Journal of Microscopy, EarlyView.
Abstract In the domain of battery research, the processing of high‐resolution microscopy images is a challenging task, as it involves dealing with complex images and requires a prior understanding of the components involved. The utilisation of deep learning methodologies for image analysis has attracted considerable interest in recent years, with ...
Ganesh Raghavendran, Bing Han, Fortune Adekogbe, Shuang Bai, Bingyu Lu, William Wu, Minghao Zhang, Ying Shirley Meng   +7 more
wiley   +1 more source

Clinical Target Volume Auto-Segmentation of Esophageal Cancer for Radiotherapy After Radical Surgery Based on Deep Learning

Technology in Cancer Research & Treatment, 2021
Radiotherapy plays an important role in controlling the local recurrence of esophageal cancer after radical surgery. Segmentation of the clinical target volume is a key step in radiotherapy treatment planning, but it is time-consuming and operator ...
Ruifen Cao PhD, Xi Pei PhD, Ning Ge MD, Chunhou Zheng PhD   +3 more
doaj   +1 more source

Hausdorff convergence and the fundamental group

Mathematische Zeitschrift, 1995
When investigating general limits of Hausdorff convergent sequences of Riemannian manifolds, only little is known about relations between topological properties of the terms of the sequence and the topology of the limits. In the present paper the following theorem is proved: Let \(X\) be a limit of a Hausdorff convergent sequence \((M_ k)_{k \in ...
openaire   +2 more sources

Risk Measure Duality Without Structure

Mathematical Finance, EarlyView.
ABSTRACT We study risk measures on vector spaces of random variables which a priori have little structure, such as spaces lacking law invariance or a lattice structure. Ensuring the existence of a tractable dual representation (one which does not contain non‐sigma‐additive measures) is one of the main problems in risk measure theory, and we address it ...
Vasily Melnikov
wiley   +1 more source

Painlevé-Kuratowski convergence for set optimization solutions using improvement sets

Applied Mathematics in Science and Engineering
This paper investigates the Painlevé-Kuratowski convergence of solution sets in set optimization problems under perturbations. By introducing the notion of [Formula: see text]-[Formula: see text]-Strictly quasiconvexity for set-valued mappings, we ...
Taiyong Li, Manli Yang
doaj   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source