Parameterizing rational offset canal surfaces via rational contour curves
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F13%3A43915848" target="_blank" >RIV/49777513:23520/13:43915848 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.cad.2012.10.017" target="_blank" >http://dx.doi.org/10.1016/j.cad.2012.10.017</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cad.2012.10.017" target="_blank" >10.1016/j.cad.2012.10.017</a>
Alternative languages
Result language
angličtina
Original language name
Parameterizing rational offset canal surfaces via rational contour curves
Original language description
A canal surface is the envelope of a 1-parameter set of spheres centered at the spine curve m(t) and with the radii described by the function r(t). Any canal surface given by rational m(t) and r(t) possesses a rational parameterization. However, an arbitrary rational canal surface does not have to fulfill the PN (Pythagorean normals) condition. Most (exact or approximate) parameterization methods are based on a construction of a rational unit normal vector field guaranteeing rational offsets. In this paper, we will study a condition which guarantees that a given canal surface has rational contour curves, which are later used for a straightforward computation of rational parameterizations of canal surfaces providing rational offsets. Using the contour curves in the parameterization algorithm brings another extra feature; the parameter lines do not unnecessarily wind around the canal surface. Our approach follows a construction of rational spatial MPH curves from the associated planar PH
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>S - Specificky vyzkum na vysokych skolach
Others
Publication year
2013
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
45
Issue of the periodical within the volume
2
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
9
Pages from-to
342-350
UT code for WoS article
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EID of the result in the Scopus database
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