Symmetries of discrete curves and point clouds via trigonometric interpolation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43965104" target="_blank" >RIV/49777513:23520/22:43965104 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0377042722000255" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0377042722000255</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2022.114124" target="_blank" >10.1016/j.cam.2022.114124</a>
Alternative languages
Result language
angličtina
Original language name
Symmetries of discrete curves and point clouds via trigonometric interpolation
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GF21-08009K" target="_blank" >GF21-08009K: Generalized Symmetries and Equivalences of Geometric Data</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN
0377-0427
e-ISSN
1879-1778
Volume of the periodical
408
Issue of the periodical within the volume
JUL 2022
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
15
Pages from-to
nestrankovano
UT code for WoS article
000795142600004
EID of the result in the Scopus database
2-s2.0-85124085149