Reparameterization of Curves and Surfaces with Respect to Their Convolution

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F10%3A00503431" target="_blank" >RIV/49777513:23520/10:00503431 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Reparameterization of Curves and Surfaces with Respect to Their Convolution
Original language description
Given two parametric planar curves or surfaces we find their new parameterizations (which we call coherent) permitting to compute their convolution by simply adding the points with the same parameter values. Several approaches based on rational reparameterization of one or both input objects or direct computation of new parameterizations are shown. Using the Gröbner basis theory we decide the simplest possible way for obtaining coherent parametrizations. We also show that coherent parameterizations exist whenever the convolution hypersurface is rational.
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
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
M. D?hlen et al. (Eds.): Mathematical Methods for Curves and Surfaces 2008, Lecture Notes in Computer Science
ISSN
0302-9743
e-ISSN
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Volume of the periodical
2010
Issue of the periodical within the volume
5862
Country of publishing house
DE - GERMANY
Number of pages
14
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
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