HAXX (Hamilton's Quaternion Algebra for CXX) is a C++ software infrastructure for the development of efficient scalar and tensorial quaternion algorithms.

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 ...

Abstract: We propose a novel neural network architecture based on dual quaternions which allow for a compact representation of information with a main focus on describing rigid body movements. After ...

The quaternion Mandelbrot set is one of the most important sets in mathematics. In this paper we first give some properties of the quaternion algebra. Then, we introduce the quternion dynamical system ...

Les quaternions, notés , sont un type de nombres hypercomplexes, constituant une extension des nombres complexes, extension similaire à celle qui avait conduit des nombres réels aux nombres complexes.

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 ...

Un quaternion est un type de nombre hypercomplexe. L'ensemble des quaternions, noté , constitue une extension de l'ensemble des nombres complexes, extension similaire à celle qui avait conduit de ...