ANALYSIS OF POINT CLOUDS - Using Conformal Geometric Algebra

Dietmar Hildenbrand, Eckhard Hitzer

2008

Abstract

This paper presents some basics for the analysis of point clouds using the geometrically intuitive mathematical framework of conformal geometric algebra. In this framework it is easy to compute with osculating circles for the description of local curvature. Also methods for the fitting of spheres as well as bounding spheres are presented. In a nutshell, this paper provides a starting point for shape analysis based on this new, geometrically intuitive and promising technology.

Paper Citation

in Harvard Style

Hildenbrand D. and Hitzer E. (2008). ANALYSIS OF POINT CLOUDS - Using Conformal Geometric Algebra . In Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008) ISBN 978-989-8111-20-3, pages 99-106. DOI: 10.5220/0001094100990106

in Bibtex Style

@conference{grapp08,
author={Dietmar Hildenbrand and Eckhard Hitzer},
title={ANALYSIS OF POINT CLOUDS - Using Conformal Geometric Algebra},
booktitle={Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)},
year={2008},
pages={99-106},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001094100990106},
isbn={978-989-8111-20-3},
}

in EndNote Style

TY - CONF
JO - Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, (VISIGRAPP 2008)
TI - ANALYSIS OF POINT CLOUDS - Using Conformal Geometric Algebra
SN - 978-989-8111-20-3
AU - Hildenbrand D.
AU - Hitzer E.
PY - 2008
SP - 99
EP - 106
DO - 10.5220/0001094100990106