A survey on quaternion algebra and geometric algebra applications in engineering and computer science 1995–2020
E Bayro-Corrochano - IEEE Access, 2021 - ieeexplore.ieee.org
Geometric Algebra (GA) has proven to be an advanced language for mathematics, physics,
computer science, and engineering. This review presents a comprehensive study of works …
computer science, and engineering. This review presents a comprehensive study of works …
Geometric algebra for optimal control with applications in manipulation tasks
Many problems in robotics are fundamentally problems of geometry, which have led to an
increased research effort in geometric methods for robotics in recent years. The results were …
increased research effort in geometric methods for robotics in recent years. The results were …
The invariants of Dual Parallel equidistant ruled surfaces
In this paper, we calculate the Gaussian curvatures of the dual spherical indicatrix curves
formed on unit dual sphere by the Blaschke vectors and dual instantaneous Pfaff vectors of …
formed on unit dual sphere by the Blaschke vectors and dual instantaneous Pfaff vectors of …
[图书][B] A geometric algebra invitation to space-time physics, robotics and molecular geometry
This book offers a gentle introduction to key elements of Geometric Algebra, along with their
applications in Physics, Robotics and Molecular Geometry. Major applications covered are …
applications in Physics, Robotics and Molecular Geometry. Major applications covered are …
Geometric algebras for Euclidean geometry
C Gunn - Advances in Applied Clifford Algebras, 2017 - Springer
The discussion of how to apply geometric algebra to euclidean n n-space has been clouded
by a number of conceptual misunderstandings which we first identify and resolve, based on …
by a number of conceptual misunderstandings which we first identify and resolve, based on …
Differential and inverse kinematics of robot devices using conformal geometric algebra
E Bayro-Corrochano, J Zamora-Esquivel - Robotica, 2007 - cambridge.org
In this paper, the authors use the conformal geometric algebra in robotics. This paper
computes the inverse kinematics of a robot arm and the differential kinematics of a pan–tilt …
computes the inverse kinematics of a robot arm and the differential kinematics of a pan–tilt …
Kinematics of a hybrid manipulator by means of screw theory
J Gallardo-Alvarado - Multibody System Dynamics, 2005 - Springer
In this work the kinematics of a hybrid manipulator, namely a fully parallel-serial manipulator,
with a particular topology is approached by means of the theory of screws. Given the length …
with a particular topology is approached by means of the theory of screws. Given the length …
Inverse kinematics, fixation and grasping using conformal geometric algebra
J Zamora, E Bayro-Corrochano - 2004 IEEE/RSJ International …, 2004 - ieeexplore.ieee.org
In this paper the authors introduce the conformal geometric algebra in the field of visually
guided robotics. As opposite to the standard projective geometry, we can deal …
guided robotics. As opposite to the standard projective geometry, we can deal …
Rigid body dynamics using Clifford algebra
JM Selig, E Bayro-Corrochano - Advances in applied Clifford algebras, 2010 - Springer
In this paper the dynamics of rigid bodies is recast into a Clifford algebra formalism.
Specifically, the algebra Cℓ (0, 6, 2), is used and it is shown how velocities, momenta and …
Specifically, the algebra Cℓ (0, 6, 2), is used and it is shown how velocities, momenta and …
Inverse kinematics solutions using conformal geometric algebra
A Aristidou, J Lasenby - Guide to Geometric Algebra in Practice, 2011 - Springer
This paper describes a novel iterative Inverse Kinematics (IK) solver, FABRIK, that is
implemented using Conformal Geometric Algebra (CGA). FABRIK uses a forward and …
implemented using Conformal Geometric Algebra (CGA). FABRIK uses a forward and …