نتایج جستجو برای: dual split quaternions

تعداد نتایج: 204888  

Journal: :Communications in Mathematics and Applications 2019

2006
Ladislav Kavan Steven Collins Carol O’Sullivan Jiri Zara

Quaternions have been a popular tool in 3D computer graphics for more than 20 years. However, classical quaternions are restricted to the representation of rotations, whereas in graphical applications we typically work with rotation composed with translation (i.e., a rigid transformation). Dual quaternions represent rigid transformations in the same way as classical quaternions represent rotati...

Journal: :CoRR 2013
Eckhard Hitzer

We explain the orthogonal planes split (OPS) of quaternions based on the arbitrary choice of one or two linearly independent pure unit quaternions f ,g. Next we systematically generalize the quaternionic Fourier transform (QFT) applied to quaternion fields to conform with the OPS determined by f ,g, or by only one pure unit quaternion f , comment on their geometric meaning, and establish invers...

Journal: :Communications on Applied Mathematics and Computation 2022

We introduce a total order and an absolute value function for dual numbers. The of numbers takes number values, has properties similar to those the real define magnitude quaternion, as number. Based upon these, we extend 1-norm, $$\infty$$ -norm, 2-norm quaternion vectors.

2009
Ettore Pennestrì Pier Paolo Valentini

Dual quaternions and dual quaternion interpolation are powerful mathematical tools for the spatial analysis of rigid body motions. In this paper, after a review of some basic results and formulas, it will be presented an attempt to use these tools for the the kinematic modeling of human joints. In particular, the kinematic parameters extracted from experimentally acquired data are compared with...

Journal: :Mathematical Sciences and Applications E-Notes 2020

Journal: :Analele Universitatii "Ovidius" Constanta - Seria Matematica 2016

2013
Nuno Filipe Panagiotis Tsiotras

In this paper, we propose a nonlinear adaptive position and attitude tracking controller for a rigid body that requires no information about the mass and inertia matrix of the body. Moreover, we provide sufficient conditions on the reference trajectory that guarantee mass and inertia matrix identification. The controller is shown to be almost globally asymptotically stable and can handle large ...

Journal: :Linear and Multilinear Algebra 2020

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