Pythagorean hodograph curves of degree four
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10389287" target="_blank" >RIV/00216208:11320/18:10389287 - isvavai.cz</a>
Result on the web
<a href="https://2018.csgg.cz/files/csgg_2018.pdf" target="_blank" >https://2018.csgg.cz/files/csgg_2018.pdf</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Pythagorean hodograph curves of degree four
Original language description
All Euclidean similitudes and reparameterizations of planar curves with Pyhtagorean Hodograph (PH curves) can be induced by Euclidean similitudes and reparameterizations of their preimage. We exploit this fact in order to describe the explicit and implicit form of all planar PH curves of degree 4. We also classify these curves with respect to the type and distribution of their singularities. Our results are illustrated by examples.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA17-01171S" target="_blank" >GA17-01171S: Invariant differential operators and their applications in geometric modelling and control theory</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the Czech-Slovak conference on geometry and graphics 2018
ISBN
978-80-214-5652-5
ISSN
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e-ISSN
neuvedeno
Number of pages
6
Pages from-to
245-250
Publisher name
Vysoké učení technické v Brně
Place of publication
Brno
Event location
Blansko
Event date
Sep 10, 2018
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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