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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Format: | Article |
Language: | English |
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Slovenian Society for Stereology and Quantitative Image Analysis
2011-05-01
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Series: | Image Analysis and Stereology |
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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. |
first_indexed | 2024-12-17T08:26:38Z |
format | Article |
id | doaj.art-dcca39ee956747bb8c0d141b29860424 |
institution | Directory Open Access Journal |
issn | 1580-3139 1854-5165 |
language | English |
last_indexed | 2024-12-17T08:26:38Z |
publishDate | 2011-05-01 |
publisher | Slovenian Society for Stereology and Quantitative Image Analysis |
record_format | Article |
series | Image Analysis and Stereology |
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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