Foundations of geometric algebra computing

D Hildenbrand - AIP Conference Proceedings, 2012 - pubs.aip.org
Geometric Algebra has the power to lead easily from the geometric intuition of solving an
engineering application to its efficient implementation on current and future computing …

Closed-form solutions for the inverse kinematics of serial robots using conformal geometric algebra

I Zaplana, H Hadfield, J Lasenby - Mechanism and Machine Theory, 2022 - Elsevier
This work addresses the inverse kinematics of serial robots using conformal geometric
algebra. Classical approaches include either the use of homogeneous matrices, which …

Solution of inverse kinematics for 6R robot manipulators with offset wrist based on geometric algebra

Z Fu, W Yang, Z Yang - Journal of mechanisms and …, 2013 - asmedigitalcollection.asme.org
In this paper, we present an efficient method based on geometric algebra for computing the
solutions to the inverse kinematics problem (IKP) of the 6R robot manipulators with offset …

Mobility analysis of limited-degrees-of-freedom parallel mechanisms in the framework of geometric algebra

Q Li, X Chai, J Xiang - Journal of Mechanisms and …, 2016 - asmedigitalcollection.asme.org
Mobility is a basic property of a mechanism. The aim of mobility analysis is to determine the
number of degrees-of-freedom (DOF) and the motion pattern of a mechanism. The existing …

[PDF][PDF] Geometric Algebra and its Application to Computer Graphics.

D Hildenbrand, C Perwass, L Dorst… - Eurographics …, 2004 - academia.edu
Early in the development of computer graphics it was realized that projective geometry is
suited quite well to represent points and transformations. Now, maybe another change of …

Inverse kinematics for industrial robots using conformal geometric algebra

AL Kleppe, O Egeland - 2016 - mic-journal.no
This paper shows how the recently developed formulation of conformal geometric algebra
can be used for analytic inverse kinematics of two six-link industrial manipulators with …

Inverse kinematics computation in computer graphics and robotics using conformal geometric algebra

D Hildenbrand, J Zamora… - Advances in applied …, 2008 - Springer
We focus on inverse kinematics applications in computer graphics and robotics based on
Conformal Geometric Algebra. Here, geometric objects like spheres and circles that are …

The forward and inverse kinematics of a delta robot

H Hadfield, L Wei, J Lasenby - … 2020, Geneva, Switzerland, October 20–23 …, 2020 - Springer
The Delta robot is one of the most popular parallel robots in industrial use today. In this
paper we analyse the forward and inverse kinematics of the robot from a geometric …

A geometric algebra algorithm for the closed-form forward displacement analysis of 3-PPS parallel mechanisms

X Huang, C Ma, H Su - Mechanism and Machine Theory, 2019 - Elsevier
This paper presents an efficient graphical representation geometric algebra approach for the
forward displacement analysis (FDA) of 3-PPS parallel mechanisms (PMs). Our approach …

CGA-Based approach to direct kinematics of parallel mechanisms with the 3-RS structure

Y Zhang, X Kong, S Wei, D Li, Q Liao - Mechanism and Machine Theory, 2018 - Elsevier
This paper presents a unified geometric modeling and solution procedure for direct
kinematic analysis of a class of parallel mechanisms based on conformal geometric algebra …