A direct and local method for computing polynomial Pythagorean-normal patches with global G1 continuity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43951174" target="_blank" >RIV/49777513:23520/18:43951174 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0010448518302227" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0010448518302227</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cad.2018.04.013" target="_blank" >10.1016/j.cad.2018.04.013</a>
Alternative languages
Result language
angličtina
Original language name
A direct and local method for computing polynomial Pythagorean-normal patches with global G1 continuity
Original language description
We present a direct and local construction for polynomial G1 spline surfaces with a piece-wise Pythagorean normal (PN) vector field. A key advantage of our method is that the constructed splines possess exact piece-wise rational offsets without any need for reparametrisations, which in turn means that no trimming procedure in the parameter domain is necessary. The spline surface consists of locally constructed triangular PN macro-elements, each of which is completely local and capable of matching boundary data consisting of three points with associated normal vectors. The collection of the macroelements forms a G1-continuous spline surface. The designed method is demonstrated on several examples.
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
2018
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
102
Issue of the periodical within the volume
SEP 2018
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
8
Pages from-to
44-51
UT code for WoS article
000437817900005
EID of the result in the Scopus database
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