Local Properties of Algebraic Curves Using Rational Puiseux Series

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10319117" target="_blank" >RIV/00216208:11320/15:10319117 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Local Properties of Algebraic Curves Using Rational Puiseux Series
Original language description
In this paper we apply the rational Puiseux series to study the local properties of algebraic curves at their singular points. In particular we exploit the existence of a bijection between the curve real branches and set of rational Puiseux series at a given point of the curve. We determine the quadrant which contains any curve half-branch and find the mutual position of all the branches. All this information is extracted from a certain tree representation without the necessity of computing the Puiseuxseries explicitly. This study is meant as an element for our new method for a topologically accurate approximation of algebraic curves.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the Slovak-Czech conference on geometry and computer graphics
ISBN
978-80-227-4479-9
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
73-84
Publisher name
Nakladatelstvo STU
Place of publication
Bratislava
Event location
Terchová, Žilina
Event date
Sep 14, 2015
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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