REPRESENTING DIRECTIONS FOR HOUGH TRANSFORMS

Fabian Wenzel; Rolf-Rainer Grigat

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Paper

REPRESENTING DIRECTIONS FOR HOUGH TRANSFORMS

Topics: 2D and 3D Scene Understanding; Localization and Recognition of 3D Object Features

In Proceedings of the First International Conference on Computer Vision Theory and Applications - Volume 2: VISAPP, 116-122, 2006 , Setúbal, Portugal

Authors: Fabian Wenzel and Rolf-Rainer Grigat

Affiliation: Hamburg University of Technology, Germany

Keyword(s): Parametrization, vanishing points, direction, unit sphere, Hough transform.

Abstract: Many algorithms in computer vision operate with directions, i. e. with representations of 3D-points by ignoring their distance to the origin. Even though minimal parametrizations of directions may contain singularities, they can enhance convergence in optimization algorithms and are required e. g. for accumulator spaces in Hough transforms. There are numerous possibilities for parameterizing directions. However, many do not account for numerical stability when dealing with noisy data. This paper gives an overview of different parametrizations and shows their sensitivity with respect to noise. In addition to standard approaches in the field of computer vision, representations originating from the field of cartography are introduced. Experiments demonstrate their superior performance in computer vision applications in the presence of noise as they are suitable for Gaussian filtering.

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Paper citation in several formats:

Wenzel, F. and Grigat, R. (2006). REPRESENTING DIRECTIONS FOR HOUGH TRANSFORMS. In Proceedings of the First International Conference on Computer Vision Theory and Applications (VISIGRAPP 2006) - Volume 2: VISAPP; ISBN 972-8865-40-6; ISSN 2184-4321, SciTePress, pages 116-122. DOI: 10.5220/0001373301160122

@conference{visapp06,
author={Fabian Wenzel. and Rolf{-}Rainer Grigat.},
title={REPRESENTING DIRECTIONS FOR HOUGH TRANSFORMS},
booktitle={Proceedings of the First International Conference on Computer Vision Theory and Applications (VISIGRAPP 2006) - Volume 2: VISAPP},
year={2006},
pages={116-122},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001373301160122},
isbn={972-8865-40-6},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the First International Conference on Computer Vision Theory and Applications (VISIGRAPP 2006) - Volume 2: VISAPP
TI - REPRESENTING DIRECTIONS FOR HOUGH TRANSFORMS
SN - 972-8865-40-6
IS - 2184-4321
AU - Wenzel, F.
AU - Grigat, R.
PY - 2006
SP - 116
EP - 122
DO - 10.5220/0001373301160122
PB - SciTePress