COMPUTATION OF NORMAL VECTORS OF DISCRETE 3D OBJECTS: APPLICATION TO NATURAL SNOW IMAGES FROM X-RAY TOMOGRAPHY

Estimating the normal vector field on the boundary of discrete 3D objects is essential for rendering and image measurement problems. Most of the existing algorithms do not provide an accurate determination of the normal vector field for shapes that present edges. We propose here a new and simple com...

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Main Authors: Frederic Flin, Jean-Bruno Brzoska, Bernard Lesaffre, Cecile Coleou, Pascal Lamboley
Format: Article
Language:English
Published: Slovenian Society for Stereology and Quantitative Image Analysis 2011-05-01
Series:Image Analysis and Stereology
Subjects:
Online Access:http://www.ias-iss.org/ojs/IAS/article/view/677
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author Frederic Flin
Jean-Bruno Brzoska
Bernard Lesaffre
Cecile Coleou
Pascal Lamboley
author_facet Frederic Flin
Jean-Bruno Brzoska
Bernard Lesaffre
Cecile Coleou
Pascal Lamboley
author_sort Frederic Flin
collection DOAJ
description Estimating the normal vector field on the boundary of discrete 3D objects is essential for rendering and image measurement problems. Most of the existing algorithms do not provide an accurate determination of the normal vector field for shapes that present edges. We propose here a new and simple computational method to obtain accurate results on all types of shapes whatever their degree of local convexity. The presented method is based on the analysis of the gradient vector field of the distance map of the object. Some results on simulated data and snow images from X-ray tomography are presented and discussed.
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spelling doaj.art-dcca39ee956747bb8c0d141b298604242022-12-21T21:56:45ZengSlovenian Society for Stereology and Quantitative Image AnalysisImage Analysis and Stereology1580-31391854-51652011-05-0120318719110.5566/ias.v20.p187-191649COMPUTATION OF NORMAL VECTORS OF DISCRETE 3D OBJECTS: APPLICATION TO NATURAL SNOW IMAGES FROM X-RAY TOMOGRAPHYFrederic FlinJean-Bruno BrzoskaBernard LesaffreCecile ColeouPascal LamboleyEstimating the normal vector field on the boundary of discrete 3D objects is essential for rendering and image measurement problems. Most of the existing algorithms do not provide an accurate determination of the normal vector field for shapes that present edges. We propose here a new and simple computational method to obtain accurate results on all types of shapes whatever their degree of local convexity. The presented method is based on the analysis of the gradient vector field of the distance map of the object. Some results on simulated data and snow images from X-ray tomography are presented and discussed.http://www.ias-iss.org/ojs/IAS/article/view/677discrete geometrydistance mapnormal vectorssnow
spellingShingle Frederic Flin
Jean-Bruno Brzoska
Bernard Lesaffre
Cecile Coleou
Pascal Lamboley
COMPUTATION OF NORMAL VECTORS OF DISCRETE 3D OBJECTS: APPLICATION TO NATURAL SNOW IMAGES FROM X-RAY TOMOGRAPHY
Image Analysis and Stereology
discrete geometry
distance map
normal vectors
snow
title COMPUTATION OF NORMAL VECTORS OF DISCRETE 3D OBJECTS: APPLICATION TO NATURAL SNOW IMAGES FROM X-RAY TOMOGRAPHY
title_full COMPUTATION OF NORMAL VECTORS OF DISCRETE 3D OBJECTS: APPLICATION TO NATURAL SNOW IMAGES FROM X-RAY TOMOGRAPHY
title_fullStr COMPUTATION OF NORMAL VECTORS OF DISCRETE 3D OBJECTS: APPLICATION TO NATURAL SNOW IMAGES FROM X-RAY TOMOGRAPHY
title_full_unstemmed COMPUTATION OF NORMAL VECTORS OF DISCRETE 3D OBJECTS: APPLICATION TO NATURAL SNOW IMAGES FROM X-RAY TOMOGRAPHY
title_short COMPUTATION OF NORMAL VECTORS OF DISCRETE 3D OBJECTS: APPLICATION TO NATURAL SNOW IMAGES FROM X-RAY TOMOGRAPHY
title_sort computation of normal vectors of discrete 3d objects application to natural snow images from x ray tomography
topic discrete geometry
distance map
normal vectors
snow
url http://www.ias-iss.org/ojs/IAS/article/view/677
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