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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F13%3A43916493%21RIV14-MSM-23520___
rdf:type
n6:Vysledek skos:Concept
rdfs:seeAlso
http://www.sciencedirect.com/science/article/pii/S0167839612000817
dcterms:description
Computing offset curves and surfaces is a fundamental operation in many technical applications. This paper discusses some issues that are encountered during the process of designing offsets, especially the problems of their reducibility and rationality (which are closely related). This study is crucial especially for formulating subsequent algorithms when the number and quality of offset components must be revealed. We will formulate new algebraic and geometric conditions on reducibility of offsets and demonstrate how they can be applied. In addition, we will present that our investigations can also serve to better understand the varieties fulfilling the Pythagorean conditions (PH curves/PN surfaces). A certain analogy of the PH condition for parameterized curves (or general parameterized hypersurfaces) will be presented also for implicitly given (not necessarily rational) curves (or hypersurfaces). Computing offset curves and surfaces is a fundamental operation in many technical applications. This paper discusses some issues that are encountered during the process of designing offsets, especially the problems of their reducibility and rationality (which are closely related). This study is crucial especially for formulating subsequent algorithms when the number and quality of offset components must be revealed. We will formulate new algebraic and geometric conditions on reducibility of offsets and demonstrate how they can be applied. In addition, we will present that our investigations can also serve to better understand the varieties fulfilling the Pythagorean conditions (PH curves/PN surfaces). A certain analogy of the PH condition for parameterized curves (or general parameterized hypersurfaces) will be presented also for implicitly given (not necessarily rational) curves (or hypersurfaces).
dcterms:title
Reducibility of offsets to algebraic curves Reducibility of offsets to algebraic curves
skos:prefLabel
Reducibility of offsets to algebraic curves Reducibility of offsets to algebraic curves
skos:notation
RIV/49777513:23520/13:43916493!RIV14-MSM-23520___
n6:predkladatel
n19:orjk%3A23520
n3:aktivita
n14:P
n3:aktivity
P(ED1.1.00/02.0090)
n3:cisloPeriodika
1
n3:dodaniDat
n5:2014
n3:domaciTvurceVysledku
n12:1043161 n12:5711223
n3:druhVysledku
n18:J
n3:duvernostUdaju
n9:S
n3:entitaPredkladatele
n11:predkladatel
n3:idSjednocenehoVysledku
101835
n3:idVysledku
RIV/49777513:23520/13:43916493
n3:jazykVysledku
n17:eng
n3:klicovaSlova
Double planes; PH curves; Offsets; Reducibility; Algebraic curves
n3:klicoveSlovo
n4:Offsets n4:Algebraic%20curves n4:Double%20planes n4:Reducibility n4:PH%20curves
n3:kodStatuVydavatele
NL - Nizozemsko
n3:kontrolniKodProRIV
[B3A5E48F63BA]
n3:nazevZdroje
COMPUTER AIDED GEOMETRIC DESIGN
n3:obor
n15:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n16:ED1.1.00%2F02.0090
n3:rokUplatneniVysledku
n5:2013
n3:svazekPeriodika
30
n3:tvurceVysledku
Vršek, Jan Lávička, Miroslav
s:issn
0167-8396
s:numberOfPages
8
n13:doi
10.1016/j.cagd.2012.06.003
n21:organizacniJednotka
23520