Applications of geometric algebra in robot vision

Authors:
Gerald Sommer
Affiliations:
Cognitive Systems Group, University of Kiel, Kiel, Germany
Venue:
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
Year:
2004

Citing 8
Cited 0

Motor Algebra for 3D Kinematics: The Case of the Hand-Eye Calibration

Journal of Mathematical Imaging and Vision
New algebraic tools for classical geometry

Geometric computing with Clifford algebras
Generalized homogeneous coordinates for computational geometry

Geometric computing with Clifford algebras
Introduction to neural computation in Clifford algebra

Geometric computing with Clifford algebras
Learning Geometric Transformations with Clifford Neurons

AFPAC '00 Proceedings of the Second International Workshop on Algebraic Frames for the Perception-Action Cycle
Free-Form Pose Estimation by Using Twist Representations

Algorithmica
The monogenic signal

IEEE Transactions on Signal Processing
Hypercomplex signals-a novel extension of the analytic signal tothe multidimensional case

IEEE Transactions on Signal Processing

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this tutorial paper we will report on our experience in the use of geometric algebra (GA) in robot vision. The results could be reached in a long term research programme on modelling the perception-action cycle within geometric algebra. We will pick up three important applications from image processing, pattern recognition and computer vision. By presenting the problems and their solutions from an engineering point of view, the intention is to stimulate other applications of GA.