Results 11 to 20 of about 4,517 (109)

Computing in the Conformal Space Objects, Incidence Relations, and Geometric Constrains for Applications in AI, GIS, Graphics, Robotics, and Human-Machine Interaction

open access: yesIEEE Access, 2022
This article presents a revisited proposal for the formulation of objects and geometric relations and constraints in the conformal space. For modeling, graphics engineering, kinematics, and dynamics, the solution of problems using only points and lines ...
Eduardo Jose Bayro-Corrochano   +4 more
doaj   +1 more source

Generalized geometric Lie algebra and its research

open access: yes上海师范大学学报. 自然科学版, 2023
In order to explore the general extension meanings of Lie algebra, the generalized geometric Lie bracket and generalized geometric Lie algebra are constructed and their related properties are studied, containing Lie algebra as a special case.
WANG Gen, LIANG Yuxia
doaj   +1 more source

An approach to adaptive filtering with variable step size based on geometric algebra

open access: yesIET Communications, 2022
Recently, adaptive filtering algorithms have attracted much more attention in the field of signal processing. By studying the shortcoming of the traditional real‐valued fixed step size adaptive filtering algorithm, this paper proposed the novel approach ...
Haiquan Wang   +3 more
doaj   +1 more source

A Machine Proof System of Point Geometry Based on Coq

open access: yesMathematics, 2023
An important development in geometric algebra in recent years is the new system known as point geometry, which treats points as direct objects of operations and considerably simplifies the process of geometric reasoning.
Siran Lei   +4 more
doaj   +1 more source

Geometric Algebra Applications in Geospatial Artificial Intelligence and Remote Sensing Image Processing

open access: yesIEEE Access, 2020
With the increasing demand for multidimensional data processing, Geometric algebra (GA) has attracted more and more attention in the field of geographical information systems.
Uzair Aslam Bhatti   +8 more
doaj   +1 more source

A multi‐channel geometric algebra residual network for traffic data prediction

open access: yesIET Intelligent Transport Systems, 2022
Traffic data prediction offers a significant way to evaluate the future traffic congestion status; many deep learning based approaches have been widely applied in this field. Most current methods only consider short‐term traffic data forecasting; however,
Di Zang   +6 more
doaj   +1 more source

Aplikasi Aljabar Geometris Pada Teori Elektrodinamika Klasik

open access: yesJurnal Fourier, 2012
In this paper geometric algebra and its aplication in the theory of classical electrodynamic will  be studied. Geometric algebra provide many simplification and new insight in the theoretical formulation and physical aplication of theory.
Joko Purwanto
doaj   +1 more source

Geometric-algebra affine projection adaptive filter

open access: yesEURASIP Journal on Advances in Signal Processing, 2021
Geometric algebra (GA) is an efficient tool to deal with hypercomplex processes due to its special data structure. In this article, we introduce the affine projection algorithm (APA) in the GA domain to provide fast convergence against hypercomplex ...
Yuetao Ren, Yongfeng Zhi, Jun Zhang
doaj   +1 more source

Universal corner symmetry and the orbit method for gravity

open access: yesNuclear Physics B, 2023
A universal symmetry algebra organizing the gravitational phase space has been recently found. It corresponds to the subset of diffeomorphisms that become physical at corners – codimension-2 surfaces supporting Noether charges.
Luca Ciambelli, Robert G. Leigh
doaj   +1 more source

UAV’s Agricultural Image Segmentation Predicated by Clifford Geometric Algebra

open access: yesIEEE Access, 2019
Image segmentation is widely used in the field of agriculture to improve the yields and protecting them from pests, herbs, shrubs, and weeds. Precision agriculture is also contributing to the inter and intra crop monitoring.
Prince Waqas Khan   +4 more
doaj   +1 more source

Home - About - Disclaimer - Privacy