Mesh Simplification for Unfolding*

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dc.contributor.authorBhargava, M.en_US
dc.contributor.authorSchreck, C.en_US
dc.contributor.authorFreire, M.en_US
dc.contributor.authorHugron, P. A.en_US
dc.contributor.authorLefebvre, S.en_US
dc.contributor.authorSellán, S.en_US
dc.contributor.authorBickel, B.en_US
dc.date.accessioned2025-03-07T16:48:42Z
dc.date.available2025-03-07T16:48:42Z
dc.date.issued2024
dc.description.abstractWe present a computational approach for unfolding 3D shapes isometrically into the plane as a single patch without overlapping triangles. This is a hard, sometimes impossible, problem, which existing methods are forced to soften by allowing for map distortions or multiple patches. Instead, we propose a geometric relaxation of the problem: We modify the input shape until it admits an overlap‐free unfolding. We achieve this by locally displacing vertices and collapsing edges, guided by the unfolding process. We validate our algorithm quantitatively and qualitatively on a large dataset of complex shapes and show its proficiency by fabricating real shapes from paper.en_US
dc.description.number1
dc.description.sectionheadersOriginal Article
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume44
dc.identifier.doi10.1111/cgf.15269
dc.identifier.issn1467-8659
dc.identifier.pages13
dc.identifier.urihttps://doi.org/10.1111/cgf.15269
dc.identifier.urihttps://diglib.eg.org/handle/10.1111/cgf15269
dc.publisherEurographics ‐ The European Association for Computer Graphics and John Wiley & Sons Ltd.en_US
dc.rightsAttribution-NonCommercial 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/
dc.subjectfabrication
dc.subjectsingle patch unfolding
dc.subjectmesh simplification
dc.subject• Computing methodologies → Shape modelling
dc.titleMesh Simplification for Unfolding*en_US
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