Results 1 to 10 of about 336 (138)

Dual-arm admittance control using conformal geometric algebra [PDF]

open access: yesFrontiers in Robotics and AI
We propose a task-space admittance controller for dual-arm robotic systems using conformal geometric algebra. The controller is a reinterpretation of a previous work using dual quaternion algebra.
Tobias Löw   +5 more
doaj   +2 more sources

Study on Spatial Geometric Similarity Based on Conformal Geometric Algebra [PDF]

open access: yesInternational Journal of Environmental Research and Public Health, 2022

exaly   +2 more sources

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

Reinterpreting the Smith Chart Using Conformal Geometric Algebra

open access: yesIEEE Access, 2023
In this study, transmission line calculations using the Smith chart were reinterpreted within the context of Conformal Geometric Algebra (CGA). Reflection coefficients and immittances (representing either impedances or admittances depending on the ...
Michael J. Neve
doaj   +1 more source

The Lorentz Group Using Conformal Geometric Algebra and Split Quaternions for Color Image Processing: Theory and Practice

open access: yesIEEE Access, 2023
The processing of color images is of great interest, because the human perception of color is a very complex process, still not well understood. In this article, firstly the authors present an analysis of the well-known mathematical methods used to model
Eduardo Bayro-Corrochano   +2 more
doaj   +1 more source

Inverse Kinematics for Industrial Robots using Conformal Geometric Algebra [PDF]

open access: yesModeling, Identification and Control, 2016
This paper shows how the recently developed formulation of conformal geometric algebra can be used for analytic inverse kinematics of two six-link industrial manipulators with revolute joints.
Adam L. Kleppe, Olav Egeland
doaj   +1 more source

Motion generation of a planar 3R serial chain based on conformal geometric algebra with applications to planar linkages [PDF]

open access: yesMechanical Sciences, 2022
A planar three-revolute (3R) serial chain is an important part of many mechanisms. The classical approach in motion generation of a planar 3R serial chain is to construct closed-loop equations based on complex numbers, which yields a large-scale ...
L. Wang   +7 more
doaj   +1 more source

A Novel Geometric Modeling and Calculation Method for Forward Displacement Analysis of 6-3 Stewart Platforms

open access: yesMathematics, 2021
A novel geometric modeling and calculation method for forward displacement analysis of the 6-3 Stewart platforms is proposed by using the conformal geometric algebra (CGA) framework.
Ganmin Zhu   +3 more
doaj   +1 more source

Minimal unitary representation of 5d superconformal algebra F(4) and AdS6/CFT5 higher spin (super)-algebras

open access: yesNuclear Physics B, 2015
We study the minimal unitary representation (minrep) of SO(5,2), obtained by quantization of its geometric quasiconformal action, its deformations and supersymmetric extensions.
Sudarshan Fernando, Murat Günaydin
doaj   +1 more source

Invariants of Space Line Element Structure Based on Projective Geometric Algebra

open access: yesIEEE Access, 2020
Based on the theory of Conformal Geometric Algebra, this paper presents a geometric constraint structure consisting of seven straight lines on three adjacent planes and its projective invariants, which can be obtained from a single frame image. Comparing
Zhang Youzheng, Mui Yanping
doaj   +1 more source

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