Interactive Curve Constrained Functional Maps

dc.contributor.authorGehre, Anneen_US
dc.contributor.authorBronstein, Michael M.en_US
dc.contributor.authorKobbelt, Leifen_US
dc.contributor.authorSolomon, Justinen_US
dc.contributor.editorJu, Tao and Vaxman, Amiren_US
dc.date.accessioned2018-07-27T12:54:28Z
dc.date.available2018-07-27T12:54:28Z
dc.date.issued2018
dc.description.abstractFunctional maps have gained popularity as a versatile framework for representing intrinsic correspondence between 3D shapes using algebraic machinery. A key ingredient for this framework is the ability to find pairs of corresponding functions (typically, feature descriptors) across the shapes. This is a challenging problem on its own, and when the shapes are strongly non-isometric, nearly impossible to solve automatically. In this paper, we use feature curve correspondences to provide flexible abstractions of semantically similar parts of non-isometric shapes. We design a user interface implementing an interactive process for constructing shape correspondence, allowing the user to update the functional map at interactive rates by introducing feature curve correspondences. We add feature curve preservation constraints to the functional map framework and propose an efficient numerical method to optimize the map with immediate feedback. Experimental results show that our approach establishes correspondences between geometrically diverse shapes with just a few clicks.en_US
dc.description.number5
dc.description.sectionheadersFunctional Maps
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume37
dc.identifier.doi10.1111/cgf.13486
dc.identifier.issn1467-8659
dc.identifier.pages1-12
dc.identifier.urihttps://doi.org/10.1111/cgf.13486
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13486
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.subjectI.3.5 [Computer Graphics]
dc.subjectComputer graphics
dc.subjectComputational Geometry and Object Modeling
dc.titleInteractive Curve Constrained Functional Mapsen_US
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