Skinning and blending with rational envelope surfaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F17%3A43931674" target="_blank" >RIV/49777513:23520/17:43931674 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.cad.2017.02.002" target="_blank" >http://dx.doi.org/10.1016/j.cad.2017.02.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cad.2017.02.002" target="_blank" >10.1016/j.cad.2017.02.002</a>

Result language
angličtina
Original language name
Skinning and blending with rational envelope surfaces
Original language description
We continue the study of rational envelope (RE) surfaces. Although these surfaces are parametrized with the help of square roots, when considering an RE patch as the medial surface transform in 4D of a spatial domain it yields a rational parametrization of the domain’s boundary, i.e., the envelope of the corresponding 2-parameter family of spheres. We formulate efficient algorithms for G^1 data interpolation using RE surfaces and apply the developed methods to rational skinning and blending of sets of spheres and cones/cylinders, respectively. Our results are demonstrated on several computed examples of skins and blends with rational parametrizations.
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
10102 - Applied 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)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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