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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F11%3A43898296%21RIV12-MSM-23520___
rdf:type
n9:Vysledek skos:Concept
dcterms:description
Current geometric modelling (Computer Aided Geometric Design) uses several operations defined over algebraic varieties whose output are again algebraic varieties (e.g. offsetting, operation of convolution, bisectors). Nevertheless, an uncomfortable feature of these constructions is the fact that the output variety may be, in some sense, more complicated than the input varieties ? e.g. its algebraic degree is often higher, it consists of more components and mainly it does not have to be rational although the both input objects are rational. From this reason, it is necessary to leave the rational world of CAGD and use the techniques of algebraic geometry which work over the field of complex numbers and thus give global and more general results. Especially, we discuss an unifying approach based on the so called incidence varieties. Current geometric modelling (Computer Aided Geometric Design) uses several operations defined over algebraic varieties whose output are again algebraic varieties (e.g. offsetting, operation of convolution, bisectors). Nevertheless, an uncomfortable feature of these constructions is the fact that the output variety may be, in some sense, more complicated than the input varieties ? e.g. its algebraic degree is often higher, it consists of more components and mainly it does not have to be rational although the both input objects are rational. From this reason, it is necessary to leave the rational world of CAGD and use the techniques of algebraic geometry which work over the field of complex numbers and thus give global and more general results. Especially, we discuss an unifying approach based on the so called incidence varieties.
dcterms:title
Study Of Algebraic Operations Used In CAGD Through Incidence Varieties Study Of Algebraic Operations Used In CAGD Through Incidence Varieties
skos:prefLabel
Study Of Algebraic Operations Used In CAGD Through Incidence Varieties Study Of Algebraic Operations Used In CAGD Through Incidence Varieties
skos:notation
RIV/49777513:23520/11:43898296!RIV12-MSM-23520___
n9:predkladatel
n10:orjk%3A23520
n4:aktivita
n12:Z n12:S
n4:aktivity
S, Z(MSM4977751301)
n4:dodaniDat
n5:2012
n4:domaciTvurceVysledku
n15:1043161 n15:5711223
n4:druhVysledku
n18:D
n4:duvernostUdaju
n11:S
n4:entitaPredkladatele
n13:predkladatel
n4:idSjednocenehoVysledku
233027
n4:idVysledku
RIV/49777513:23520/11:43898296
n4:jazykVysledku
n19:eng
n4:klicovaSlova
Algebraic varieties, incidence variety, convolutions, offsets, bisectors, conchoids, genus
n4:klicoveSlovo
n6:conchoids n6:incidence%20variety n6:Algebraic%20varieties n6:offsets n6:genus n6:bisectors n6:convolutions
n4:kontrolniKodProRIV
[986DD82D662D]
n4:mistoKonaniAkce
Bratislava
n4:mistoVydani
Bratislava
n4:nazevZdroje
Aplimat 2011
n4:obor
n21:BA
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
2
n4:rokUplatneniVysledku
n5:2011
n4:tvurceVysledku
Vršek, Jan Lávička, Miroslav
n4:typAkce
n17:EUR
n4:zahajeniAkce
2011-02-01+01:00
n4:zamer
n14:MSM4977751301
s:numberOfPages
8
n8:hasPublisher
Faculty of Mechanical Engineering, Slovak University of Technology in Bratislava
n20:isbn
978-80-89313-51-8
n22:organizacniJednotka
23520