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 …

[HTML][HTML] Human action recognition method based on conformal geometric algebra and recurrent neural network

NNH Van, PM Tuan, PC Thang… - Информационно …, 2020 - cyberleninka.ru
Introduction: Deep Learning plays an important role in machine learning and artificial
intelligence. It is widely applied in many fields with high dimensional data, including natural …

Acceleration and energy efficiency of a geometric algebra computation using reconfigurable computers and GPUs

H Lange, F Stock, A Koch… - 2009 17th IEEE …, 2009 - ieeexplore.ieee.org
Geometric algebra (GA) is a mathematical framework that allows the compact description of
geometric relationships and algorithms in many fields of science and engineering. The …

Feature extraction for classification method using principal component based on conformal geometric algebra

MT Pham, PH Do, K Tachibana - 2016 International joint …, 2016 - ieeexplore.ieee.org
This paper discusses feature extraction methods. The feature extraction methods such
principal component analysis and multiple discriminant analysis are very important …

Engineering graphics in geometric algebra

A Rockwood, D Hildenbrand - Geometric Algebra Computing: in …, 2010 - Springer
We illustrate the suitability of geometric algebra for representing structures and developing
algorithms in computer graphics, especially for engineering applications. A number of …

A clustering method for geometric data based on approximation using conformal geometric algebra

MT Pham, K Tachibana, T Yoshikawa… - … Conference on Fuzzy …, 2011 - ieeexplore.ieee.org
Clustering is one of the most useful methods for understanding similarity among data.
However, most conventional clustering methods do not pay sufficient attention to the …

A conformal geometric algebra based clustering method and its applications

MT Pham, K Tachibana - Advances in Applied Clifford Algebras, 2016 - Springer
Clustering is one of the most useful methods for understanding similarity among data.
However, most conventional clustering methods do not pay sufficient attention to the …

[PDF][PDF] Differential Methods for Multi-dimensional Visual Data Analysis.

W Benger, R Heinzl, D Hildenbrand, T Weinkauf… - 2015 - wwwisg.cs.uni-magdeburg.de
Images in scientific visualization are the end product of data processing. Starting from higher-
dimensional data sets such as scalar, vector, and tensor fields given on 2D, 3D, and 4D …

[PDF][PDF] Geometric algebra computing on the CUDA platform

C Schwinn, A Görlitz, D Hildenbrand - Proceedings of the 1st …, 2009 - gaalop.de
Geometric Algebra (GA) is a mathematical framework that allows a compact, geometrically
intuitive description of geometric relationships and algorithms. These algorithms require …

An Algorithm for Fuzzy Clustering Based on Conformal Geometric Algebra

MT Pham, K Tachibana - … and Systems Engineering: Proceedings of the …, 2013 - Springer
Geometric algebra (GA) is a generalization of complex numbers and quaternions. It is able
to describe spatial objects and the geometric relations between them. ConformalGA (CGA) …