Smooth surface interpolation using patches with rational offsets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43929461" target="_blank" >RIV/49777513:23520/16:43929461 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/16:10334623
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0167839616301303" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0167839616301303</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cagd.2016.09.002" target="_blank" >10.1016/j.cagd.2016.09.002</a>

Result language
angličtina
Original language name
Smooth surface interpolation using patches with rational offsets
Original language description
We present a simple functional method for the interpolation of given data points and associated normals with surface parametric patches with rational normal fields. We give some arguments why a dual approach is especially convenient for these surfaces, which are traditionally called Pythagorean normal vector (PN) surfaces. Our construction is based on the isotropic model of the dual space to which the original data are pushed. Then the bicubic Coons patches are constructed in the isotropic space and then pulled back to the standard three dimensional space. As a result we obtain the patch construction which is completely local and produces surfaces with the global G1G1 continuity.
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
—

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)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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