Results 11 to 20 of about 60,017 (247)
Direct Linear Interpolation of Geometric Objects in Conformal Geometric Algebra [PDF]
Advances in Applied Clifford Algebras, 2019 Typically we do not add objects in conformal geometric algebra (CGA), rather we apply operations that preserve grade, usually via rotors, such as rotation, translation, dilation, or via reflection and inversion. However, here we show that direct linear interpolation of conformal geometric objects can be both intuitive and of practical use. We present a
Hadfield, H., Lasenby, J.
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Extending the Cooperative Dual-Task Space in Conformal Geometric Algebra [PDF]
IEEE International Conference on Robotics and Automation, 2023 In this work, we are presenting an extension of the cooperative dual-task space (CDTS) in conformal geometric algebra. The CDTS was first defined using dual quaternion algebra and is a well established framework for the simplified definition of tasks ...
Tobias Löw, Sylvain Calinon
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Inverse Kinematics for Industrial Robots using Conformal Geometric Algebra [PDF]
Modeling, 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
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Applications of Conformal Geometric Algebra to Transmission Line Theory
IEEE Access, 2017 In this paper, we present the application of a projective geometry tool known as conformal geometric algebra (CGA) to transmission line theory. Explicit relationships between the Smith Chart, Riemann Sphere, and CGA are developed to illustrate the ...
Alex Arsenovic
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Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\) [PDF]
, 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 +3 more
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CGA-PoseNet: Camera Pose Regression via a 1D-Up Approach to Conformal Geometric Algebra [PDF]
arXiv.org, 2023 We introduce CGA-PoseNet, which uses the 1D-Up approach to Conformal Geometric Algebra (CGA) to represent rotations and translations with a single mathematical object, the motor, for camera pose regression.
Alberto Pepe, Joan Lasenby
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Gaalop - high performance parallel computing based on conformal geometric algebra [PDF]
, 2022 S.477-494We present Gaalop (Geometric algebra algorithms optimizer) our tool for high performance computing based on conformal geometric algebra.
Pitt, Joachim +2 more
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IEEE 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
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Closed-form solutions for the inverse kinematics of serial robots using conformal geometric algebra [PDF]
Mechanism and Machine Theory, 2021 This work addresses the inverse kinematics of serial robots using conformal geometric algebra. Classical approaches include either the use of homogeneous matrices, which entails high computational cost and execution time or the development of particular ...
I. Zaplana, Hugo Hadfield, Joan Lasenby
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Self‐calibration method of binocular vision based on conformal geometric algebra
Mathematical methods in the applied sciences, 2021 We will study binocular vision for a 6‐DOF robotic manipulator in the conformal geometric algebra. We will focus on a case where some pieces of information, such as relative cameras positions, have been lost.
M. Stodola, Stanislav Frolík
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