New applications of Clifford's geometric algebra

S Breuils, K Tachibana, E Hitzer - Advances in Applied Clifford Algebras, 2022 - Springer
The new applications of Clifford's geometric algebra surveyed in this paper include
kinematics and robotics, computer graphics and animation, neural networks and pattern …

Current survey of Clifford geometric algebra applications

E Hitzer, C Lavor, D Hildenbrand - Mathematical Methods in …, 2024 - Wiley Online Library
We extensively survey applications of Clifford Geometric algebra in recent years (mainly
2019–2022). This includes engineering; electric engineering; optical fibers; geographic …

Geometric algebra for optimal control with applications in manipulation tasks

T Löw, S Calinon - IEEE Transactions on Robotics, 2023 - ieeexplore.ieee.org
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 …

Linear and geometric algebra approaches for sphere and spherical shell intersections in Rn

C Lavor, R Alves, LAF Fernandes - Expert Systems with Applications, 2022 - Elsevier
Many practical problems involve sphere intersections. Examples include but are not limited
to estimations using the Global Positioning System (GPS), data science applications and 3D …

Semantic manipulation through the lens of Geometric Algebra

RS Evangelista, ALS Pereira, RF de Moraes… - Computer Vision and …, 2024 - Elsevier
Semantic image manipulation is a complex problem defined as the ability to change high-
level features while keeping the final result visually similar to the original. Recent deep …

[PDF][PDF] Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra

AH Eid, FG Montoya - Mathematics, 2024 - researchgate.net
The Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a
comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA) …

GAFRO: Geometric Algebra for Robotics

T Lšw, P Abbet, S Calinon - IEEE Robotics & Automation …, 2024 - ieeexplore.ieee.org
Geometry is a fundamental part of robotics, and there have been various frameworks of
representation over the years. Recently, geometric algebra (GA) has gained attention for its …

Exploring lazy evaluation and compile-time simplifications for efficient geometric algebra computations

LAF Fernandes - Systems, Patterns and Data Engineering With …, 2021 - Springer
Mathematical function libraries for scientific computation play an essential role in scientific
development. These libraries allow researchers to focus their efforts on solving higher-level …

gafro: Geometric Algebra for Robotics

T Löw, P Abbet, S Calinon - arXiv preprint arXiv:2310.19090, 2023 - arxiv.org
Geometry is a fundamental part of robotics and there have been various frameworks of
representation over the years. Recently, geometric algebra has gained attention for its …

Computational aspects of geometric algebra products of two homogeneous multivectors

S Breuils, V Nozick, A Sugimoto - Advances in Applied Clifford Algebras, 2023 - Springer
This paper addresses the study of the complexity of products in geometric algebra. More
specifically, this paper focuses on both the number of operations required to compute a …