Results 221 to 230 of about 60,017 (247)

Geometric Product of Two Oriented Points in Conformal Geometric Algebra

Advances in Applied Clifford Algebras
The author studies products of oriented points in the framework of conformal geometric algebra (CGA) of the three-dimensional Euclidean space, i.e., the Clifford algebra \(Cl(4,1)\). After a brief introduction, the notion of an oriented point in CGA is explained in detail, and then the geometric product of such points is calculated explicitly in ...
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Target Calibration and Tracking Using Conformal Geometric Algebra

2006
This paper is about real-time refinement of the 3D positions of a large number of stationary point-targets from a sequence of 2D images which are taken by a hand-held, calibrated camera group. To cope with the large data quantity arriving rapidly, an efficient iterative algorithm was developed. The problem and solution are expressed entirely within the
Zhao, Y., Valkenburg, R., Klette, R., Rosenhahn, B.   +3 more
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Recent Advances on Oriented Conformal Geometric Algebra Applied to Molecular Distance Geometry

Systems, Patterns and Data Engineering with Geometric Calculi, 2021
C. Lavor, R. Alves
semanticscholar   +1 more source

Trident Snake Control Based on Conformal Geometric Algebra

2015
Local controllability of a trident snake robot is solved by means of 5D conformal geometric algebra. The non–holonomic kinematic equations are assembled, their property to be a Pfaff system is discussed and the solution is found. The functionality is demonstrated on a virtual model in CLUCalc programme.
Ales Návrat, Radomil Matousek
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An Algorithm for Fuzzy Clustering Based on Conformal Geometric Algebra

2014
Geometric algebra(GA) is a generalization of complex numbers and quaternions. It is able to describe spatial objects and the geometric relations between them. ConformalGA(CGA) is a part of GA and it’s vector is found that points, lines, planes, circles and spheres gain particularly natural and computationally amenable representations.
Minh Tuan Pham, Kanta Tachibana
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Closed-form solutions for the inverse kinematics of serial robots using conformal geometric algebra

Mechanism and Machine Theory, 2022
Isiah Zaplana, Hugo Hadfield, Joan Lasenby   +2 more
exaly  

A generalised methodology using conformal geometric algebra for mathematical chemistry

Journal of Mathematical Chemistry, 2020
Sudharsan Thiruvengadam, Matthew Murphy, K. Miller   +2 more
semanticscholar   +1 more source

Conic and cyclidic sections in double conformal geometric algebra G8,2 with computing and visualization using Gaalop

Mathematical Methods in the Applied Sciences, 2020
Robert Benjamin Easter, Eckhard Hitzer
exaly  

Feature Extraction Using Conformal Geometric Algebra for AdaBoost Algorithm Based In-plane Rotated Face Detection

Advances in Applied Clifford Algebras, 2019
T. Pham, Danh C. Doan, E. Hitzer
semanticscholar   +1 more source

Control of 3-Link Robotic Snake Based on Conformal Geometric Algebra

Advances in Applied Clifford Algebras, 2015
Jaroslav Hrdina, Ales Navrat, Petr Vasik   +2 more
exaly