C^d Hermite interpolations with spatial Pythagorean hodograph B-splines

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43961733" target="_blank" >RIV/49777513:23520/21:43961733 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/abs/pii/S0167839621000376" target="_blank" >https://www.sciencedirect.com/science/article/abs/pii/S0167839621000376</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cagd.2021.101992" target="_blank" >10.1016/j.cagd.2021.101992</a>

Result language
angličtina
Original language name
C^d Hermite interpolations with spatial Pythagorean hodograph B-splines
Original language description
Following the recent results of Albrecht et al., 2017, Albrecht et al., 2020, the problem of Hermite interpolation by clamped spatial Pythagorean hodograph (PH) B-spline curves is thoroughly investigated in this paper. The constructed interpolants are obtained by using beneficial properties of B-spline basis functions and via solving special quadratic and linear equations in quaternion algebra. All the designed procedures are purely symbolic and the main contribution lies in the unifying approach to the formulated problem. The results are confirmed by several computed examples.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

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

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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