A symbolic-numerical method for computing approximate parameterizations of canal surfaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43915055" target="_blank" >RIV/49777513:23520/12:43915055 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.cad.2012.04.001" target="_blank" >http://dx.doi.org/10.1016/j.cad.2012.04.001</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cad.2012.04.001" target="_blank" >10.1016/j.cad.2012.04.001</a>
Alternative languages
Result language
angličtina
Original language name
A symbolic-numerical method for computing approximate parameterizations of canal surfaces
Original language description
A canal surface is the envelope of a one-parameter family of spheres centered at the spine curve m(t) and with the radii described by the function r(t). It was proved in Peternell and Pottmann (1997) that any canal surface to a rational spine curve and arational radius function possesses a rational parameterization. Then a symbolic method forgenerating rational parameterizations of canal surfaces was developed in Landsmann et al. (2001) [21]. Indeed, this method leads to the problem of decomposing a polynomial into a sum of two squares over reals, which is solved numerically in general. Hence, approximate techniques generating a parameterization within a certain region of interest are also worth studying. In this paper, we present a method for the computation of approximate rational parameterizations of canal surfaces. A main feature of our approach is a combination of symbolic and numerical techniques yielding approximate topology-based parameterizations of contour curves which are t
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
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
COMPUTER-AIDED DESIGN
ISSN
0010-4485
e-ISSN
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Volume of the periodical
44
Issue of the periodical within the volume
9
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
12
Pages from-to
"846?857"
UT code for WoS article
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EID of the result in the Scopus database
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