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Authors: Esmeide A. Leal Narváez and Nallig Eduardo Leal Narváez

Affiliation: University of Antioquia, Colombia

Keyword(s): Point Cloud Denoising, PCA, Robust Estimation, Shrinkage, Smoothing.

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

Abstract: This paper presents a new method for filtering noise occurring in point cloud sampled data. The method smoothes the data set whereas preserves sharp features. We propose a new weighted variant of the principal component analysis method, which instead of using exponential weighting factors inversely proportional to the Euclidean distance to the mean, which is computationally expensive, uses weighting factors assignment by inversely proportional repartition of the sum of distance to the mean. The determination of weighted factors by means of inverse proportional repartition makes our variant robust to outliers. Additionally, we propose a simple solution to the problem of data shrinkage produced by the linear local fitting of the principal component analysis. The proposed method is simple, easy to implement, and effective for noise filtering.

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Paper citation in several formats:
A. Leal Narváez, E. and Eduardo Leal Narváez, N. (2006). POINT CLOUD DENOISING USING ROBUST PRINCIPAL COMPONENT ANALYSIS. In Proceedings of the First International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2006) - GRAPP; ISBN 972-8865-39-2; ISSN 2184-4321, SciTePress, pages 51-58. DOI: 10.5220/0001358900510058

@conference{grapp06,
author={Esmeide {A. Leal Narváez}. and Nallig {Eduardo Leal Narváez}.},
title={POINT CLOUD DENOISING USING ROBUST PRINCIPAL COMPONENT ANALYSIS},
booktitle={Proceedings of the First International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2006) - GRAPP},
year={2006},
pages={51-58},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0001358900510058},
isbn={972-8865-39-2},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the First International Conference on Computer Graphics Theory and Applications (VISIGRAPP 2006) - GRAPP
TI - POINT CLOUD DENOISING USING ROBUST PRINCIPAL COMPONENT ANALYSIS
SN - 972-8865-39-2
IS - 2184-4321
AU - A. Leal Narváez, E.
AU - Eduardo Leal Narváez, N.
PY - 2006
SP - 51
EP - 58
DO - 10.5220/0001358900510058
PB - SciTePress