Rational adaptive blends among obstacles in 3D by contour method
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F17%3A43931716" target="_blank" >RIV/49777513:23520/17:43931716 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.cad.2017.04.006" target="_blank" >http://dx.doi.org/10.1016/j.cad.2017.04.006</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cad.2017.04.006" target="_blank" >10.1016/j.cad.2017.04.006</a>
Alternative languages
Result language
angličtina
Original language name
Rational adaptive blends among obstacles in 3D by contour method
Original language description
In this paper we will continue in investigating ‘contour method’ and its using for the computation of rational parameterizations of canal surfaces without a need of sum of squares (SOS) decomposition. Further approaches for constructing flexible smooth transitions between canal surfaces will be presented. Mainly, we focus on one particular application of recently introduced rational envelope curves, newly constructed over an arbitrary planar rational curve in space. Using this type of curves significantly simplifies the previous methods discussed in [1], and mainly new situations, which could not have been handled with the previous setup, are successfully solved, now. Especially a method for constructing rational adaptive blends which bypass a given obstacle (or more given obstacles when needed) is thoroughly discussed and its functionality is demonstrated on a number of examples. The designed approach works not only for simple obstacles represented by one-dimensional medial axis transforms but also for more general obstacles described by two-dimensional medial surface transforms.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
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)
Others
Publication year
2017
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
89
Issue of the periodical within the volume
August
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
11
Pages from-to
1-11
UT code for WoS article
000405879800001
EID of the result in the Scopus database
2-s2.0-85018776977