Symmetries of discrete curves and point clouds via trigonometric interpolation

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dc.contributor.authorBizzarri, Michal
dc.contributor.authorLávička, Miroslav
dc.contributor.authorVršek, Jan
dc.date.accessioned2022-06-20T10:00:11Z
dc.date.available2022-06-20T10:00:11Z
dc.date.issued2022
dc.description.abstract-translatedWe formulate a simple algorithm for computing global exact symmetries of closed discrete curves in the plane. The method is based on a suitable trigonometric interpolation of vertices of the given polyline and consequent computation of the symmetry group of the obtained trigonometric curve. The algorithm exploits the fact that the introduced unique assignment of the trigonometric curve to each closed discrete curve commutes with isometries. For understandable reasons, an essential part of the paper is devoted to determining rotational and axial symmetries of trigonometric curves. We also show that the formulated approach can be easily applied on unorganized clouds of points. A functionality of the designed detection method is presented on several examples.en
dc.format15 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationBIZZARRI, M. LÁVIČKA, M. VRŠEK, J. Symmetries of discrete curves and point clouds via trigonometric interpolation. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, roč. 408, č. JUL 2022, s. nestránkováno. ISSN: 0377-0427cs
dc.identifier.document-number795142600004
dc.identifier.doi10.1016/j.cam.2022.114124
dc.identifier.issn0377-0427
dc.identifier.obd43936103
dc.identifier.uri2-s2.0-85124085149
dc.identifier.urihttp://hdl.handle.net/11025/47784
dc.language.isoenen
dc.project.IDGF21-08009K/Zobecněné symetrie a ekvivalence geometrických datcs
dc.publisherElsevieren
dc.relation.ispartofseriesJournal Of Computational And Applied Mathematicsen
dc.rights© Elsevieren
dc.rights.accessopenAccessen
dc.subject.translatedSymmetriesen
dc.subject.translatedDiscrete curvesen
dc.subject.translatedPoint cloudsen
dc.subject.translatedTrigonometric curvesen
dc.subject.translatedTrigonometric interpolationen
dc.subject.translatedLaplacian smoothingen
dc.titleSymmetries of discrete curves and point clouds via trigonometric interpolationen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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