Title:	Symmetries of discrete curves and point clouds via trigonometric interpolation
Authors:	Bizzarri, Michal Lávička, Miroslav Vršek, Jan
Citation:	BIZZARRI, 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: 0377-0427
Issue Date:	2022
Publisher:	Elsevier
Document type:	článek article
URI:	2-s2.0-85124085149 http://hdl.handle.net/11025/47784
ISSN:	0377-0427
Keywords in different language:	Symmetries;Discrete curves;Point clouds;Trigonometric curves;Trigonometric interpolation;Laplacian smoothing
Abstract in different language:	We 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.
Rights:	© Elsevier
Appears in Collections:	Články / Articles (KMA) OBD

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.