C-1 Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10288887" target="_blank" >RIV/00216208:11320/14:10288887 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23520/14:43920511
Result on the web
<a href="http://dx.doi.org/10.1016/j.cam.2013.08.007" target="_blank" >http://dx.doi.org/10.1016/j.cam.2013.08.007</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cam.2013.08.007" target="_blank" >10.1016/j.cam.2013.08.007</a>
Alternative languages
Result language
angličtina
Original language name
C-1 Hermite interpolation with spatial Pythagorean-hodograph cubic biarcs
Original language description
In this paper the C1 Hermite interpolation problem by spatial Pythagorean-hodograph cubic biarcs is presented and a general algorithm to construct such interpolants is described. Each PH cubic segment interpolates C1 data at one point and they are then joined together with a C1 continuity at some unknown common point sharing some unknown tangent vector. Biarcs are expressed in a closed form with three shape parameters. Two of them are selected based on asymptotic approximation order, while the remainingone can be computed by minimizing the length of the biarc or by minimizing the elastic bending energy. The final interpolating spline curve is globally C1 continuous, it can be constructed locally and it exists for arbitrary Hermite data configurations.
Czech name
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Czech description
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Classification
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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Result continuities
Project
<a href="/en/project/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - New Technologies for Information Society</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2014
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
2014
Issue of the periodical within the volume
257
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
14
Pages from-to
65-78
UT code for WoS article
000326315900006
EID of the result in the Scopus database
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