C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10289181" target="_blank" >RIV/00216208:11320/14:10289181 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23520/14:43923437
Result on the web
<a href="http://dx.doi.org/10.1016/j.cagd.2014.08.002" target="_blank" >http://dx.doi.org/10.1016/j.cagd.2014.08.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cagd.2014.08.002" target="_blank" >10.1016/j.cagd.2014.08.002</a>

Result language
angličtina
Original language name
C-2 Hermite interpolation by Pythagorean-hodograph quintic triarcs
Original language description
In this paper, the problem of C2 Hermite interpolation by triarcs composed of Pythagorean-hodograph (PH) quintics is considered. The main idea is to join three arcs of PH quintics at two unknown points - the first curve interpolates given C2 Hermite dataat one side, the third one interpolates the same type of given data at the other side and the middle arc is joined together with C2 continuity to the first and the third arc. For any set of C2 planar boundary data (two points with associated first and second derivatives) we construct four possible interpolants. The best possible approximation order is 4. Analogously, for a set of C2 spatial boundary data we find a six-dimensional family of interpolating quintic PH triarcs. The results are confirmed byseveral examples.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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