On phenomenon of rationality in geometric modelling

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F11%3A43898292" target="_blank" >RIV/49777513:23520/11:43898292 - 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

On phenomenon of rationality in geometric modelling

Original language description

Exploring the history of geometric modelling (Computer Aided Geometric Design, CAGD) in industrial and related applications we can clearly see that study of rational techniques and rational representations were at its very foundation. However, although CAGD and consequently a vast variety of geometrical applications is based on parametric piecewise rational representations, the major problem is that many natural geometrical operations do not preserve rationality of derived objects (among the most frequent such operations belong o setting, operation of convolution and Minkowski sums). Hence, studying the rationality belongs to challenging problems of geometric modelling.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2011

Confidentiality

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

Name of the periodical

South Bohemia Mathematical Letters

ISSN

1804-1450

e-ISSN

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Volume of the periodical

19

Issue of the periodical within the volume

1

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

12

Pages from-to

27-38

UT code for WoS article

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EID of the result in the Scopus database

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