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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F12%3A43915714%21RIV13-MSM-23520___
rdf:type
skos:Concept n12:Vysledek
dcterms:description
Offsetting is one of the fundamental operations in Computer Aided Design. Due to their high applicability, studying offsets of hypersurfaces has become a popular research area and many interesting problems related to this topic have arisen. In addition, various generalizations of classical offsets have been introduced and then investigated. In this paper we study a generalization which is based on considering offsets to (not only parameterized) hypersurfaces as convolutions with hyperspheres. In other words, we study hypersurfaces sharing the same convolution properties with hyperspheres and thus yielding offset-like convolutions. We will present an algebraic analysis of these hypersurfaces and study their properties suitable for subsequent applications, e.g. in geometric modelling. Moreover, our approach allows to derive distinguished properties of the well-known PH/PN parameterizations as special subcases of the introduced QN parameterizations. Offsetting is one of the fundamental operations in Computer Aided Design. Due to their high applicability, studying offsets of hypersurfaces has become a popular research area and many interesting problems related to this topic have arisen. In addition, various generalizations of classical offsets have been introduced and then investigated. In this paper we study a generalization which is based on considering offsets to (not only parameterized) hypersurfaces as convolutions with hyperspheres. In other words, we study hypersurfaces sharing the same convolution properties with hyperspheres and thus yielding offset-like convolutions. We will present an algebraic analysis of these hypersurfaces and study their properties suitable for subsequent applications, e.g. in geometric modelling. Moreover, our approach allows to derive distinguished properties of the well-known PH/PN parameterizations as special subcases of the introduced QN parameterizations.
dcterms:title
Exploring hypersurfaces with offset-like convolutions Exploring hypersurfaces with offset-like convolutions
skos:prefLabel
Exploring hypersurfaces with offset-like convolutions Exploring hypersurfaces with offset-like convolutions
skos:notation
RIV/49777513:23520/12:43915714!RIV13-MSM-23520___
n12:predkladatel
n13:orjk%3A23520
n4:aktivita
n14:P
n4:aktivity
P(ED1.1.00/02.0090)
n4:cisloPeriodika
8
n4:dodaniDat
n7:2013
n4:domaciTvurceVysledku
n8:5711223 n8:1043161
n4:druhVysledku
n17:J
n4:duvernostUdaju
n11:S
n4:entitaPredkladatele
n15:predkladatel
n4:idSjednocenehoVysledku
135831
n4:idVysledku
RIV/49777513:23520/12:43915714
n4:jazykVysledku
n18:eng
n4:klicovaSlova
QN parameterizations; PN surfaces; PH curves; Rational hypersurfaces; Generalized offsets; Offsets; Convolution degree; Convolutions
n4:klicoveSlovo
n9:Rational%20hypersurfaces n9:Offsets n9:QN%20parameterizations n9:Convolution%20degree n9:Convolutions n9:Generalized%20offsets n9:PN%20surfaces n9:PH%20curves
n4:kodStatuVydavatele
NL - Nizozemsko
n4:kontrolniKodProRIV
[EB0014D9FC89]
n4:nazevZdroje
COMPUTER AIDED GEOMETRIC DESIGN
n4:obor
n20:BA
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
2
n4:projekt
n5:ED1.1.00%2F02.0090
n4:rokUplatneniVysledku
n7:2012
n4:svazekPeriodika
29
n4:tvurceVysledku
Lávička, Miroslav Vršek, Jan
s:issn
0167-8396
s:numberOfPages
15
n16:doi
10.1016/j.cagd.2012.07.002
n19:organizacniJednotka
23520