Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F10%3A10052010" target="_blank" >RIV/00216208:11320/10:10052010 - 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
Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation.
Original language description
The Tschirnhausen cubic represents all non-degenerate Pythagorean Hododgraph cubics. We determine its support function and represent it as a convolution of a centrally symmetrical curve and a curve with linear normals. We use the support function to parametrize the Tschirnhausen cubic by normals. This parametrization is then used to an elegant and complete solution of the G(1) Hermite interpolation by Pythagorean Hodograph cubics. We apply the resulting algorithm to various examples and extend it to theinterpolation by offsets of PH cubics.
Czech name
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Czech description
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Project
<a href="/en/project/GA201%2F08%2F0486" target="_blank" >GA201/08/0486: Statistical analysis of functional random variable and its applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
ADVANCES IN GEOMETRIC MODELING AND PROCESSING, PROCEEDINGS
ISBN
978-3-642-13410-4
ISSN
0302-9743
e-ISSN
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Number of pages
14
Pages from-to
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Publisher name
SPRINGER-VERLAG BERLIN
Place of publication
BERLIN
Event location
Castro Urdiales, Spain
Event date
Jun 16, 2010
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000279606600003

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