Imposing angle boundary conditions on B-spline/NURBS surfaces
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43923435" target="_blank" >RIV/49777513:23520/15:43923435 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0010448514002310" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0010448514002310</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cad.2014.10.002" target="_blank" >10.1016/j.cad.2014.10.002</a>
Alternative languages
Result language
angličtina
Original language name
Imposing angle boundary conditions on B-spline/NURBS surfaces
Original language description
In this paper, we study the construction of a B-spline surface satisfying prescribed angle distribution (with respect to a chosen vector) of tangent planes along its boundary curve. This problem arises e.g. in a creation of a parametric geometric model of a Pelton turbine bucket, where specific angle distributions along a splitter and an outlet curve have to be fulfilled in order to control the flow of water into and out of the bucket. We prove that for a given B-spline curve View the MathML source, tELEMENT OF[0,1], the exact solution exists only in very special cases (for a special form of an angle function f(t)). Further, we formulate an algorithm for finding an approximate solution. We also derive a bound on its approximation error and give a numerical evidence that the approximation order of the proposed algorithm is four. Finally, the method is demonstrated on several examples.
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/TA03011157" target="_blank" >TA03011157: Innovative techniques for improving utility qualities of water turbines with the help of shape optimization based on modern methods of geometric modeling</a><br>
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2015
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
62
Issue of the periodical within the volume
May 2015
Country of publishing house
GB - UNITED KINGDOM
Number of pages
9
Pages from-to
1-9
UT code for WoS article
000350942400002
EID of the result in the Scopus database
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