In robotics, to deal with coordinate transformation in three-dimensional (3D) Cartesian space, the homogeneous transformation is usually applied.
The dual number is chosen for the line representation, and lemmas and theorems indicating relavent properties of the dual number, dual vector, and dual matrix ...
Dual-number transformation and its applications to robotics
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The presented procedure offers an algorithm which deals with the symbolic analysis for both rotation and translation and can effectively be used for direct ...
Dual numbers are useful for analytical treatment in kinematics and dynamics of spatial mechanisms. Succinct formulas and equations can be derived by using dual ...
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Mar 12, 2019 · Dual quaternions are useful for problems in robot kinematics as they provide a sim- ple way to represent rotations and translations in 3– ...
Hyper-dual numbers can be applied in the software, analysis and design of airspace systems, and robot manipulators [7,10]. In this section a brief summary of ...
The solving process proved that the dual number allows compact formulations considerably facilitating the analysis of robot kinematics. ResearchGate Logo.
The section contains a brief introduction to the concepts of dual numbers, Pliicker line coordinates, dual angles, and screw displace- ments. In Section 3 I ...
Aug 18, 2015 · Derivation of a robot manipulator's kinematics serves as an example of the application of HDNs to the kinematics of a multi- rigid body system.
This work explores dual quaternions and their applications. First, a theoretical construction begins at dual numbers, extends to dual vectors, and culminates ...