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Manifolds defined by points: Parameterizing and boundary detection (extended abstract)

Author(s): Gear, CW; Chiavazzo, E; Kevrekidis, Yannis G.

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dc.contributor.authorGear, CW-
dc.contributor.authorChiavazzo, E-
dc.contributor.authorKevrekidis, Yannis G.-
dc.date.accessioned2021-10-08T19:58:37Z-
dc.date.available2021-10-08T19:58:37Z-
dc.date.issued2016-06-08en_US
dc.identifier.citationGear, CW, Chiavazzo, E, Kevrekidis, IG. (2016). Manifolds defined by points: Parameterizing and boundary detection (extended abstract). AIP Conference Proceedings, 1738 (10.1063/1.4951749en_US
dc.identifier.issn0094-243X-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1m27k-
dc.description.abstractWe are given a set of noisy points in n-dimensional (nD) Euclidean space (the native space) which lie on a finite dD manifold. We assume that it can be smoothly mapped to a dD Euclidean space without holes, and would like to create a dD parameterization of the manifold. We also want to identify points that are close to the manifold boundary. Parameterizing the manifold is important for a number of follow-on tasks. Our objective is to develop a method that can be used as the basis for a robust code that requires no human intervention.en_US
dc.format.extent020005-1 - 020005-4en_US
dc.language.isoen_USen_US
dc.relation.ispartofAIP Conference Proceedingsen_US
dc.rightsFinal published version. Article is made available in OAR by the publisher's permission or policy.en_US
dc.titleManifolds defined by points: Parameterizing and boundary detection (extended abstract)en_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1063/1.4951749-
dc.identifier.eissn1551-7616-
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/conference-proceedingen_US

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