Establishing Shape Correspondences: A Survey

dc.contributor.authorHeuschling, Alexandra
dc.contributor.authorMeinhold, Hannah
dc.contributor.authorKobbelt, Leif
dc.contributor.editorBönsch, Andrea
dc.contributor.editorUmetani, Nobuyuki
dc.date.accessioned2026-04-16T11:53:50Z
dc.date.available2026-04-16T11:53:50Z
dc.date.issued2026
dc.description.abstractShape correspondence between surfaces in 3D is a central problem in geometry processing, concerned with establishing meaningful relations between surfaces. While all correspondence problems share this goal, specific formulations can differ significantly: downstream applications require certain properties that correspondences must satisfy, while the type of input data and computational constraints influence the choice of method. In this survey, we provide an overview of different correspondence problems, popular paradigms for generating and refining correspondences, and strategies for evaluating their quality. Further, we discuss topological aspects that are especially important for correspondences between surfaces with higher genus. By offering a structured overview and highlighting open challenges, we aim to support and guide future research in the field.
dc.description.number2
dc.description.sectionheadersState of the Art Reports
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume45
dc.identifier.doi10.1111/cgf.70406
dc.identifier.issn1467-8659
dc.identifier.pages29 pages
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf70406
dc.identifier.urihttps://doi.org/10.1111/cgf.70406
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.
dc.rightsCC-BY-4.0
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectShape analysis
dc.titleEstablishing Shape Correspondences: A Survey
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