HAXX (Hamilton's Quaternion Algebra for CXX) is a C++ software infrastructure for the development of efficient scalar and tensorial quaternion algorithms.
Abstract: In this study, two models of multilayer quaternionic feedforward neural networks are presented. Whereas the first model is based on quaternion algebra, the second model uses split quaternion ...
Abstract: Quaternion rotation is a powerful tool for rotating vectors in 3-D; as a result, it has been used in various engineering fields, such as navigations, robotics, and computer graphics. However ...
Dynamics and Control Systems Laboratory, School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA, United States This paper lays out a framework to model the kinematics and ...
Soit B une algèbre de quaternions définie sur un corps de nombres k. Nous associons à tout couple de symboles de Hilbert {a, b} et {c, d} pour B un invariant ρ = ρR([D(a, b)], [D(c, d)]) dans un ...
ABSTRACT: In this paper, a series of bicomplex representation methods of quaternion division algebra is introduced. We present a new multiplication concept of quaternion matrices, a new determinant ...
The construction of a class of associative composition algebrasq n on R 4 generalizing the well‐known quaternions Q provides an explicit representation of the universal enveloping algebra of the real ...
ABSTRACT: In this paper, a series of bicomplex representation methods of quaternion division algebra is introduced. We present a new multiplication concept of quaternion matrices, a new determinant ...
Implementation of Arcball which tackles the problem that the mouse is in 2D and the object is in 3D by picturing a sphere behind the screen that when clicked pinches the sphere and by dragging, the ...
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