Symmetries and similarities of planar algebraic curves using harmonic polynomials
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F19%3A43955031" target="_blank" >RIV/49777513:23520/19:43955031 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0377042719301189" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0377042719301189</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2019.02.036" target="_blank" >10.1016/j.cam.2019.02.036</a>
Alternative languages
Result language
angličtina
Original language name
Symmetries and similarities of planar algebraic curves using harmonic polynomials
Original language description
We present novel, deterministic, efficient algorithms to compute the symmetries of a planar algebraic curve, implicitly defined, and to check whether or not two given implicit planar algebraic curves are similar, i.e. equal up to a similarity transformation. Both algorithms are based on the fact, well-known in Harmonic Analysis, that the Laplacian commutes with orthogonal transformations, and on efficient algorithms to find the symmetries/similarities of a harmonic algebraic curve/two given harmonic algebraic curves. In fact, we show that, except for some special cases, the problem can be reduced to the harmonic case.
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
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/LO1506" target="_blank" >LO1506: Sustainability support of the centre NTIS - New Technologies for the Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2019
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
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Volume of the periodical
357
Issue of the periodical within the volume
September 2019
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
17
Pages from-to
302-318
UT code for WoS article
000465168400019
EID of the result in the Scopus database
2-s2.0-85062972111