Results 21 to 30 of about 1,436 (116)

Establishing Shape Correspondences: A Survey

Computer Graphics Forum, EarlyView.
Abstract Shape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: Downstream applications require certain properties that correspondences must satisfy ...
A. Heuschling, H. Meinhold, L. Kobbelt
wiley   +1 more source

Guiding and Manipulating Light Fields in Microstructured Liquid Crystals

Advanced Physics Research, Volume 5, Issue 7, July 2026.
This review summarizes recent advances in guided‐wave optics enabled by microstructured liquid crystal (LC) devices, covering their fundamental material properties, key degree of freedom for dynamic light field manipulations. The advances of linear guided‐wave optics, nonlinear‐optics with spatial optical solitons, and microlasers in LC‐based devices ...
Shan‐shan Chang, Yong‐shuai Li, Jin‐hui Chen   +2 more
wiley   +1 more source

Predicting Crack Propagation in Brittle TPMS Under Uniaxial Loading: A Dual Concept Approach via Geodesic Lines and Cross‐Sectional Analysis

International Journal of Ceramic Engineering &Science, Volume 8, Issue 4, July 2026.
Cracking in brittle TPMS structures is governed by their geometry, with cracks propagating along geodesic paths determined by the initial crack orientation. Regions with small cross‐sections and abrupt area transitions identify critical damage regions and explain the differences in compressive strength among Primitive, Gyroid, Neovius, and IWP designs.
Thi Ngoc Diep Tran, Vinit Vijay Deshpande, Romana Piat   +2 more
wiley   +1 more source

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Collaborative Multiagent Closed‐Loop Motion Planning for Multimanipulator Systems

Advanced Intelligent Systems, Volume 8, Issue 3, March 2026.
This work presents a hierarchical multi‐manipulator planner, emphasizing highly overlapping space. The proposed method leverages an enhanced Dynamic Movement Primitive based planner along with an improvised Multi‐Agent Reinforcement Learning approach to ensure regulatory and mediatory control while ensuring low‐level autonomy. Experiments across varied
Tian Xu, Siddharth Singh, Qing Chang
wiley   +1 more source

Some Symmetry Properties of Almost S-Manifolds

, 2017
Manifold theory is an important topic in differential geometry. Riemannian manifolds are a wide class of differentiable manifolds.  Riemannian manifolds consist of two fundamental class, as contact manifolds and complex manifolds.
Y. Balkan, M. Sarıkaya
semanticscholar   +1 more source

Brain volume trajectories in young children are associated with polygenic scores for late‐onset Alzheimer's disease risk

Alzheimer's &Dementia, Volume 22, Issue 3, March 2026.
Abstract INTRODUCTION Polygenic risk scores (PRSs) for Alzheimer's disease (AD) capture an individual's genetic susceptibility to AD. Although thoroughly studied in older populations, there exists a notable gap in comprehensively exploring the association of AD PRS with early brain development.
Poorbita Kundu, Changbo Zhu, Matt Huentelman, Sean C. L. Deoni, Marcus Naymik, Francis Taguinod, Matt De Both, Candace R. Lewis, Hans‐Georg Müller   +8 more
wiley   +1 more source

On the structure vector field of a real hypersurface in complex quadric

, 2018
The complex quadric Qm = SOm+2/SOmSO2 is a compact Hermitian symmetric space of rank 2. It is also a complex hypersurface in complex projective spaceCPm+1, [1]. Qm is equippedwith two geometric structures: a complex conjugation A and a Kähler structure J.
J. Pérez
semanticscholar   +1 more source

Assembly of constructible factorization algebras

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract We provide a toolbox of extension, gluing, and assembly techniques for factorization algebras. Using these tools, we fill various gaps in the literature on factorization algebras on stratified manifolds, the main one being that constructible factorization algebras form a sheaf of symmetric monoidal ∞$\infty$‐categories.
Eilind Karlsson, Claudia I. Scheimbauer, Tashi Walde   +2 more
wiley   +1 more source