Results 51 to 60 of about 653,122 (340)
A Geometric Algebra Co-Processor for Color Edge Detection
, 2015 This paper describes advancement in color edge detection, using a dedicated Geometric Algebra (GA) co-processor implemented on an Application Specific Integrated Circuit (ASIC).
Wilcock, Reuben +5 more
core +1 more source
Modified Hand–Eye Calibration Using Dual Quaternions
Applied Sciences, 2022 This paper presents a modified model for hand–eye calibration based on dual quaternion algebra. By using dual quaternions to represent the rotations and translations of a rigid body simultaneously in the task space, the formulation is elegant for the ...
Guozhi Li +3 more
doaj +1 more source
Linear Algebra and its Applications, 1984 Let k be a field of characteristic not equal to 2, and let L be a finite field extension of k. Then a Lie algebra G is quaternionic if there is a quaternion division algebra Q over L such that G is isomorphic to the k- Lie-algebra \(Q^-/L1\). The main theorem of the paper gives equivalent conditions for a finite-dimensional Lie algebra over a perfect ...
openaire +2 more sources
The 2-refined neutrosophic quaternions numbers [PDF]
Neutrosophic Sets and SystemsThis paper explores the concept of 2-refined neutrosophic quaternion numbers by first introducing their formal definition along with the notion of equality between two such numbers.
Iqbal Ahmed Musa +2 more
doaj +1 more source
Fractal and Fractional, 2023 Very recently, a different generalization of real-valued neural networks (RVNNs) to multidimensional domains beside the complex-valued neural networks (CVNNs), quaternion-valued neural networks (QVNNs), and Clifford-valued neural networks (ClVNNs) has ...
Călin-Adrian Popa
doaj +1 more source
Applied Sciences, 2018 As the application of industrial robots is limited by low stiffness that causes low precision, a joint stiffness identification algorithm for serial robots is presented.
Guozhi Li +3 more
semanticscholar +1 more source
On the linkage of quaternion algebras
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2002 Let \(B\) and \(C\) be quaternion algebras over a field \(F\). A well known theorem [\textit{A. A. Albert}, Proc. Am. Math. Soc. 35, 65-66 (1972; Zbl 0263.16012), \textit{C.-H. Sah}, J. Algebra 20, 144-160 (1972; Zbl 0226.15010)] states that \(B\otimes_FC\) is a division algebra if and only if \(B\) and \(C\) have no common quadratic splitting field ...
openaire +3 more sources
Advanced Engineering Materials, EarlyView.A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer +3 more
wiley +1 more source
Splitting of differential quaternion algebras
, 2023 We study differential splitting fields of quaternion algebras with derivations. A quaternion algebra over a field $k$ is always split by a quadratic extension of $k$.
Singh, Anupam +2 more
core +1 more source
Continuum Mechanics Modeling of Flexible Spring Joints in Surgical Robots
Advanced Robotics Research, EarlyView.A new mechanical model of a tendon‐actuated helical extension spring joint in surgical robots is built using Cosserat rod theory. The model can implicitly handle the unknown contacts between adjacent coils and numerically predict spring shapes from straight to significantly bent under actuation forces.
Botian Sun +3 more
wiley +1 more source