Exploring hypersurfaces with offset-like convolutions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F12%3A43915714" target="_blank" >RIV/49777513:23520/12:43915714 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.cagd.2012.07.002" target="_blank" >http://dx.doi.org/10.1016/j.cagd.2012.07.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.cagd.2012.07.002" target="_blank" >10.1016/j.cagd.2012.07.002</a>
Alternative languages
Result language
angličtina
Original language name
Exploring hypersurfaces with offset-like convolutions
Original language description
Offsetting is one of the fundamental operations in Computer Aided Design. Due to their high applicability, studying offsets of hypersurfaces has become a popular research area and many interesting problems related to this topic have arisen. In addition,various generalizations of classical offsets have been introduced and then investigated. In this paper we study a generalization which is based on considering offsets to (not only parameterized) hypersurfaces as convolutions with hyperspheres. In other words, we study hypersurfaces sharing the same convolution properties with hyperspheres and thus yielding offset-like convolutions. We will present an algebraic analysis of these hypersurfaces and study their properties suitable for subsequent applications, e.g. in geometric modelling. Moreover, our approach allows to derive distinguished properties of the well-known PH/PN parameterizations as special subcases of the introduced QN parameterizations.
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/ED1.1.00%2F02.0090" target="_blank" >ED1.1.00/02.0090: NTIS - New Technologies for Information Society</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2012
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 GEOMETRIC DESIGN
ISSN
0167-8396
e-ISSN
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Volume of the periodical
29
Issue of the periodical within the volume
8
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
15
Pages from-to
676-690
UT code for WoS article
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EID of the result in the Scopus database
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