Triangular bubble spline surfaces

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43913396" target="_blank" >RIV/49777513:23520/11:43913396 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.cad.2011.08.021" target="_blank" >http://dx.doi.org/10.1016/j.cad.2011.08.021</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cad.2011.08.021" target="_blank" >10.1016/j.cad.2011.08.021</a>

Result language
angličtina
Original language name
Triangular bubble spline surfaces
Original language description
We present a new method for generating a Gn-surface from a triangular network of compatible surface strips. The compatible surface strips are given by a network of polynomial curves with an associated implicitly defined surface, which fulfill certain compatibility conditions. Our construction is based on a new concept, called bubble patches, to represent the single surface patches. The compatible surface strips provide a simple Gn-condition between two neighboring bubble patches, which are used to construct surface patches, connected with Gn-continuity. For n?2, we describe the obtained Gn-condition in detail. It can be generalized to any n?3. The construction of a single surface patch is based on Gordon-Coons interpolation for triangles. Our method isa simple local construction scheme, which works uniformly for vertices of arbitrary valency. The resulting surface is a piecewise rational surface, which interpolates the given network of polynomial curves.
Czech name
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Czech description
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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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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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