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Authors: Thibault Marzais ; Yan Gerard and Rémy Malgouyres

Affiliation: LLAIC, France

ISBN: 972-8865-39-2

Keyword(s): Surface reconstruction, Linear programming, Least Squares Fitting, Be´zier and B-spline surfaces.

Related Ontology Subjects/Areas/Topics: Computer Vision, Visualization and Computer Graphics ; Geometry and Modeling ; Surface Modeling

Abstract: We present a method to reconstruct a surface from a group of points, each provided with two parameters. The kind of reconstructed surface can be a Bezier surface, a B-spline surface or any surface generated by a basis of functions. The usual method involved in such a reconstruction is the least squares approach. Our original fitting method called LP-fitting uses a linear program for minimizing the uniform error instead of the quadratic error considered in least squares. Experimental results comparing both approaches show that the surface obtained by LP-fitting is usually closer (from a uniform point of view) to the initial points cloud than the surface obtained by least squares.

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Paper citation in several formats:
Marzais T.; Gerard Y.; Malgouyres R. and (2006). LP FITTING APPROACH FOR RECONSTRUCTING PARAMETRIC SURFACES FROM POINTS CLOUDS.In Proceedings of the First International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP, ISBN 972-8865-39-2, pages 325-330. DOI: 10.5220/0001353503250330

@conference{grapp06,
author={Thibault Marzais and Yan Gerard and Rémy Malgouyres},
title={LP FITTING APPROACH FOR RECONSTRUCTING PARAMETRIC SURFACES FROM POINTS CLOUDS},
booktitle={Proceedings of the First International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP,},
year={2006},
pages={325-330},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001353503250330},
isbn={972-8865-39-2},
}

TY - CONF

JO - Proceedings of the First International Conference on Computer Graphics Theory and Applications - Volume 1: GRAPP,
TI - LP FITTING APPROACH FOR RECONSTRUCTING PARAMETRIC SURFACES FROM POINTS CLOUDS
SN - 972-8865-39-2
AU - Marzais, T.
AU - Gerard, Y.
AU - Malgouyres, R.
PY - 2006
SP - 325
EP - 330
DO - 10.5220/0001353503250330

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