Symmetry in 3D Geometry: Extraction and Applications

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dc.contributor.authorMitra, Niloy J.en_US
dc.contributor.authorPauly, Marken_US
dc.contributor.authorWand, Michaelen_US
dc.contributor.authorCeylan, Duyguen_US
dc.contributor.editorHolly Rushmeier and Oliver Deussenen_US
dc.date.accessioned2015-02-28T16:07:11Z
dc.date.available2015-02-28T16:07:11Z
dc.date.issued2013en_US
dc.description.abstractThe 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.en_US
dc.description.documenttypestar
dc.description.number6
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume32
dc.identifier.doi10.1111/cgf.12010
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/v32i6pp001-023
dc.identifier.urihttps://doi.org/10.1111/cgf.12010en_US
dc.publisherThe Eurographics Association and Blackwell Publishing Ltd.en_US
dc.subjectsymmetry detectionen_US
dc.subjectshape analysisen_US
dc.subjecttransformation groupsen_US
dc.subjectI.3.7 [Computer Graphics]en_US
dc.subjectI.3.5 Computational Geometry and Object ModelingGeometric algorithmsen_US
dc.subjectlanguagesen_US
dc.subjectsystemsen_US
dc.titleSymmetry in 3D Geometry: Extraction and Applicationsen_US
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