Results 81 to 90 of about 35,567 (199)

3D Cadastral Data Model Based on Conformal Geometry Algebra

ISPRS International Journal of Geo-Information, 2016
Three-dimensional (3D) cadastral data models that are based on Euclidean geometry (EG) are incapable of providing a unified representation of geometry and topological relations for 3D spatial units in a cadastral database. This lack of unification causes
Ji-yi Zhang, Peng-cheng Yin, Gang Li, He-he Gu, Hua Zhao, Jian-chun Fu   +5 more
doaj   +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

Group invariant transformations for the Klein-Gordon equation in three dimensional flat spaces

, 2017
We perform the complete symmetry classification of the Klein-Gordon equation in maximal symmetric spacetimes. The central idea is to find all possible potential functions $V(t,x,y)$ that admit Lie and Noether symmetries.
Jamal, Sameerah, Paliathanasis, Andronikos   +1 more
core   +1 more source

Bayesian perspective for orientation determination in cryo‐EM with application to structural heterogeneity analysis

Acta Crystallographica Section D, Volume 82, Issue 4, Page 274-294, April 2026.
A Bayesian perspective on orientation estimation in cryo‐EM is presented, with the minimum mean‐square error estimator outperforming standard cross‐correlation‐based approaches, particularly under challenging low signal‐to‐noise conditions. We demonstrate that improved orientation estimation has a decisive impact on 3D reconstruction quality and ...
Sheng Xu, Amnon Balanov, Amit Singer, Tamir Bendory   +3 more
wiley   +1 more source

Kinematics Analysis of Industrial Robot Based on Conformal Geometry Algebra

Jixie chuandong, 2023
In order to solve the problem of high complexity and large amount of computation for kinematics of industrial robots, Conformal geometric algebra （CGA） was introduced to the construction of kinematics model of industrial robots. In the forward kinematics
Yu Yang, Wei Mengdi, Xu Guipeng, Ren Simin, Wei Yaxin   +4 more
doaj  

Geometry of the isotropic oscillator driven by the conformal mode

, 2018
Geometrization of a Lagrangian conservative system typically amounts to reformulating its equations of motion as the geodesic equations in a properly chosen curved spacetime. The conventional methods include the Jacobi metric and the Eisenhart lift.
Galajinsky, Anton
core   +1 more source

Paracatadioptric Geometry using Conformal Geometric Algebra

, 2008
توفر رؤية الكمبيوتر قياسات غير تلامسية للعالم، مما يوسع قدرة الروبوت على العمل في ظروف وبيئات لا يمكن التحكم فيها بدقة. تمت دراسة استخدام الملاحظات المرئية للتحكم في حركات الروبوتات على نطاق واسع، ويشار إلى هذا النهج في الأدبيات باسم المؤازرة المرئية. تعاني الكاميرات التقليدية من مجال رؤية محدود.
openaire   +3 more sources

Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\)

, 2018
This article is a contribution to an ongoing discussion in the geometric algebra community on how to represent quadrics in three space within a conformal geometric algebra framework. The authors use the conformal geometry of \(\mathbb{R}^{9,6}\) for this purpose and demonstrate how to construct lines, planes, spheres, and quadrics as wedge products of ...
Breuils, Stéphane, Nozick, Vincent, Sugimoto, Akihiro, Hitzer, Eckhard   +3 more
openaire   +2 more sources

Modular intersections, time interval algebras and emergent AdS2

Journal of High Energy Physics
We compute the modular flow and conjugation of time interval algebras of conformal Generalized Free Fields (GFF) in 0 + 1-dimensions in the vacuum. For non-integer scaling dimensions, for general time intervals, the modular conjugation and the modular ...
Nima Lashkari, Kwing Lam Leung, Mudassir Moosa, Shoy Ouseph   +3 more
doaj   +1 more source

Geometric realization of algebraic conformal field theories

Advances in Mathematics, 2019
We explore new connections between the fields and local observables in two dimensional chiral conformal field theory. We show that in a broad class of examples, the von Neumann algebras of local observables (a conformal net) can be obtained from the fields (a unitary vertex operator algebra) via a continuous geometric interpolation procedure involving ...
openaire   +5 more sources