Recent Trends, Applications, and Perspectives in 3D Shape Similarity Assessment

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dc.contributor.authorBiasotti, S.en_US
dc.contributor.authorCerri, A.en_US
dc.contributor.authorBronstein, A.en_US
dc.contributor.authorBronstein, M.en_US
dc.contributor.editorChen, Min and Zhang, Hao (Richard)en_US
dc.date.accessioned2016-09-27T10:02:03Z
dc.date.available2016-09-27T10:02:03Z
dc.date.issued2016
dc.description.abstractThe recent introduction of 3D shape analysis frameworks able to quantify the deformation of a shape into another in terms of the variation of real functions yields a new interpretation of the 3D shape similarity assessment and opens new perspectives. Indeed, while the classical approaches to similarity mainly quantify it as a numerical score, map‐based methods also define (dense) shape correspondences. After presenting in detail the theoretical foundations underlying these approaches, we classify them by looking at their most salient features, including the kind of structure and invariance properties they capture, as well as the distances and the output modalities according to which the similarity between shapes is assessed and returned. We also review the usage of these methods in a number of 3D shape application domains, ranging from matching and retrieval to annotation and segmentation. Finally, the most promising directions for future research developments are discussed.The recent introduction of 3D shape analysis frameworks able to quantify the deformation of a shape into another in terms of the variation of real functions yields a new interpretation of the 3D shape similarity assessment and opens new perspectives. Indeed, while the classical approaches to similarity mainly quantify it as a numerical score, map‐based methods also define (dense) shape correspondences.en_US
dc.description.documenttypestar
dc.description.number6
dc.description.sectionheadersArticles
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume35
dc.identifier.doi10.1111/cgf.12734
dc.identifier.issn1467-8659
dc.identifier.pages87-119
dc.identifier.urihttps://doi.org/10.1111/cgf.12734
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf12734
dc.publisherCopyright © 2016 The Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subject3D shape distances
dc.subject3D shape matching
dc.subjectmap‐based correspondence
dc.subjectI.3.5 [Computer Graphics]: Computational Geometry and Object Modelling; I.3.6 [Computer Graphics]: Methodology and Techniques
dc.titleRecent Trends, Applications, and Perspectives in 3D Shape Similarity Assessmenten_US
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