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Symmetry in 3D Geometry: Extraction and Applications

Identifieur interne : 000F60 ( Istex/Corpus ); précédent : 000F59; suivant : 000F61

Symmetry in 3D Geometry: Extraction and Applications

Auteurs : Niloy J. Mitra ; Mark Pauly ; Michael Wand ; Duygu Ceylan

Source :

RBID : ISTEX:96BBF39F2DD0203B75DFC2CE969AED869D0F89E3

English descriptors

Abstract

The concept of symmetry has received significant attention in computer graphics and computer vision research in recent years. Numerous methods have been proposed to find, extract, encode and exploit geometric symmetries and high‐level structural information for a wide variety of geometry processing tasks. This report surveys and classifies recent developments in symmetry detection. We focus on elucidating the key similarities and differences between existing methods to gain a better understanding of a fundamental problem in digital geometry processing and shape understanding in general. We discuss a variety of applications in computer graphics and geometry processing that benefit from symmetry information for more effective processing. An analysis of the strengths and limitations of existing algorithms highlights the plenitude of opportunities for future research both in terms of theory and applications.
The concept of symmetry has received significant attention in computer graphics and computer vision research in recent years. Numerous methods have been proposed to find, extract, encode, and exploit geometric symmetries and high‐level structural information for a wide variety of geometry processing tasks. This report surveys and classifies recent developments in symmetry detection. We focus on elucidating the key similarities and differences between existing methods to gain a better understanding of a fundamental problem in digital geometry processing and shape understanding in general.

Url:
DOI: 10.1111/cgf.12010

Links to Exploration step

ISTEX:96BBF39F2DD0203B75DFC2CE969AED869D0F89E3

Le document en format XML

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<div type="abstract">The concept of symmetry has received significant attention in computer graphics and computer vision research in recent years. Numerous methods have been proposed to find, extract, encode and exploit geometric symmetries and high‐level structural information for a wide variety of geometry processing tasks. This report surveys and classifies recent developments in symmetry detection. We focus on elucidating the key similarities and differences between existing methods to gain a better understanding of a fundamental problem in digital geometry processing and shape understanding in general. We discuss a variety of applications in computer graphics and geometry processing that benefit from symmetry information for more effective processing. An analysis of the strengths and limitations of existing algorithms highlights the plenitude of opportunities for future research both in terms of theory and applications.</div>
<div type="abstract" xml:lang="en">The concept of symmetry has received significant attention in computer graphics and computer vision research in recent years. Numerous methods have been proposed to find, extract, encode, and exploit geometric symmetries and high‐level structural information for a wide variety of geometry processing tasks. This report surveys and classifies recent developments in symmetry detection. We focus on elucidating the key similarities and differences between existing methods to gain a better understanding of a fundamental problem in digital geometry processing and shape understanding in general.</div>
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<identifier type="DOI">10.1111/(ISSN)1467-8659</identifier>
<identifier type="PublisherID">CGF</identifier>
<part>
<date>2013</date>
<detail type="volume">
<caption>vol.</caption>
<number>32</number>
</detail>
<detail type="issue">
<caption>no.</caption>
<number>6</number>
</detail>
<extent unit="pages">
<start>1</start>
<end>23</end>
<total>23</total>
</extent>
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<identifier type="istex">96BBF39F2DD0203B75DFC2CE969AED869D0F89E3</identifier>
<identifier type="DOI">10.1111/cgf.12010</identifier>
<identifier type="ArticleID">CGF12010</identifier>
<accessCondition type="use and reproduction" contentType="copyright">Copyright © 2013 The Eurographics Association and John Wiley & Sons Ltd.© 2013 The Authors Computer Graphics Forum © 2013 The Eurographics Association and John Wiley & Sons Ltd.</accessCondition>
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