Selected rational techniques for geometric modelling and related applications

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Selected rational techniques for geometric modelling and related applications

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

Selected rational techniques for geometric modelling and related applications

Popis výsledku anglicky

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

Druh

O - Ostatní výsledky

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů