About: Reducibility of offsets to algebraic curves

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.sciencedirect.com/science/article/pii/S0167839612000817
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). (en)
Title	Reducibility of offsets to algebraic curves Reducibility of offsets to algebraic curves (en)
skos:prefLabel	Reducibility of offsets to algebraic curves Reducibility of offsets to algebraic curves (en)
skos:notation	RIV/49777513:23520/13:43916493!RIV14-MSM-23520___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0090)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Lávička, Miroslav Vršek, Jan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	101835
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/13:43916493
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Double planes; PH curves; Offsets; Reducibility; Algebraic curves (en)
http://linked.open.../riv/klicoveSlovo	PH curves Algebraic curves Double planes Reducibility Offsets
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[B3A5E48F63BA]
http://linked.open...i/riv/nazevZdroje	COMPUTER AIDED GEOMETRIC DESIGN
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	NTIS - New Technologies for Information Society
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	30
http://linked.open...iv/tvurceVysledku	Lávička, Miroslav Vršek, Jan
issn	0167-8396
number of pages	8 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.cagd.2012.06.003
http://localhost/t...ganizacniJednotka	23520

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