PH cubics fitting
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F08%3A00504894" target="_blank" >RIV/49777513:23520/08:00504894 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
PH cubics fitting
Original language description
PH curves are curves with a special property which is called Pythagorean hodograph, i.e., for planar curves given by parametric equation p(t)=(x(t),y(t)) the equality x'(t)^2+y'(t)^2=s(t)^2 must hold. There is only one cubic with above mentioned attribute in plane and it is called Tschirnhausen cubic. We consider unit first derivative at data points and we construct T-Spline. The fitting is on the basis of biarc interpolation and the G1 continuity is preserved.
Czech name
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Czech description
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Classification
Type
O - Miscellaneous
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů