Selected rational techniques for geometric modelling and related applications

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43899236" target="_blank" >RIV/49777513:23520/11:43899236 - 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
Selected rational techniques for geometric modelling and related applications
Original language description
This habilitation thesis is devoted to selected rational techniques which are used in geometric modelling and also in other related CAx applications. Nowadays, this topic is very popular and one can find several journal papers, conference contributions and books devoted to this research area. Our study was motivated by the fact that most of geometrical operations used in Computer Aided Geometric Design do not preserve rationality of derived objects in general. A distinguished feature of our approach wasan often usage of symbolic computations which has helped us to find several new results. Due to space limitations, we select only a few topics with particular emphasis on practical applications -- namely we present the geometric operation of convolutionand its properties, offsetting and shapes with rational offsets, representation of geometric objects using MAT/MST and its application on trimming of offsets, and finally RCL parameterizations as a new class of rational curves and surfac
Czech name
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Czech description
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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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