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 …
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 …
2019–2022). This includes engineering; electric engineering; optical fibers; geographic …
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 …
Linear and geometric algebra approaches for sphere and spherical shell intersections in Rn
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 …
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 …
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) …
comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA) …
GAFRO: Geometric Algebra for Robotics
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 …
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 …
development. These libraries allow researchers to focus their efforts on solving higher-level …
gafro: Geometric Algebra for Robotics
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 …
representation over the years. Recently, geometric algebra has gained attention for its …
Computational aspects of geometric algebra products of two homogeneous multivectors
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 …
specifically, this paper focuses on both the number of operations required to compute a …