Title:	Approximate symmetries of perturbed planar discrete curves
Authors:	Bizzarri, Michal Lávička, Miroslav Vršek, Jan
Citation:	BIZZARRI, M. LÁVIČKA, M. VRŠEK, J. Approximate symmetries of perturbed planar discrete curves. COMPUTER AIDED GEOMETRIC DESIGN, 2022, roč. 96, č. June, s. nestránkováno. ISSN: 0167-8396
Issue Date:	2022
Publisher:	Elsevier
Document type:	preprint preprint
URI:	2-s2.0-85131400416 http://hdl.handle.net/11025/49266
ISSN:	0167-8396
Keywords in different language:	discrete curves;decomposition;exact symmetries;approximate symmetries;perturbation
Abstract in different language:	We present a new algorithm to decide whether a discrete curve is symmetric or not. In the affirmative case we assign to each curve a particular symmetry group, and describe all rotational and reflectional symmetries (if they exist). The fundamental strategy of our approach is to decompose the given curve into a collection of appropriate components (simpler discrete curves) whose symmetries can be found more easily. The symmetries of the original curve are then derived from the symmetries of these individual components. Subsequently, we show that the formulated approach can be suitably modified to the situation when the input discrete curve is perturbed. Then we determine the approximate symmetries. The functionality of the proposed method is illustrated by several examples.
Rights:	Plný text je přístupný v rámci univerzity přihlášeným uživatelům. © Elsevier
Appears in Collections:	Preprinty / Preprints (KMA) OBD

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