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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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Abstract: We 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.
Publication Date: 8-Jun-2016
Citation: Gear, CW, Chiavazzo, E, Kevrekidis, IG. (2016). Manifolds defined by points: Parameterizing and boundary detection (extended abstract). AIP Conference Proceedings, 1738 (10.1063/1.4951749
DOI: doi:10.1063/1.4951749
ISSN: 0094-243X
EISSN: 1551-7616
Pages: 020005-1 - 020005-4
Type of Material: Journal Article
Journal/Proceeding Title: AIP Conference Proceedings
Version: Final published version. Article is made available in OAR by the publisher's permission or policy.

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