ANALYSIS OF POINT CLOUDS - Using Conformal Geometric Algebra

Dietmar Hildenbrand; Eckhard Hitzer

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Paper

ANALYSIS OF POINT CLOUDS - Using Conformal Geometric Algebra

Topics: Fundamental Methods and Algorithms; Geometric Computing

In Proceedings of the Third International Conference on Computer Graphics Theory and Applications - Volume 0VISIGRAPP, 99-106, 2008 , Funchal, Madeira, Portugal

Authors: Dietmar Hildenbrand ¹ and Eckhard Hitzer ²

Affiliations: ¹ Research Center of Excellence for Computer Graphics, University of Technology, Germany ; ² University of Fukui, Japan

Keyword(s): Geometric algebra, geometric computing, point clouds, osculating circle, fitting of spheres, bounding spheres.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Fundamental Methods and Algorithms ; Geometric Computing ; Geometry and Modeling

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.

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Paper citation in several formats:

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 (VISIGRAPP 2008) - GRAPP; ISBN 978-989-8111-20-3; ISSN 2184-4321, SciTePress, pages 99-106. DOI: 10.5220/0001094100990106

@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 (VISIGRAPP 2008) - GRAPP},
year={2008},
pages={99-106},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001094100990106},
isbn={978-989-8111-20-3},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the Third International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2008) - GRAPP
TI - ANALYSIS OF POINT CLOUDS - Using Conformal Geometric Algebra
SN - 978-989-8111-20-3
IS - 2184-4321
AU - Hildenbrand, D.
AU - Hitzer, E.
PY - 2008
SP - 99
EP - 106
DO - 10.5220/0001094100990106
PB - SciTePress