About: Surfaces with Pythagorean normals along rational 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/S0167839614000570
Description	A rational curve on a rational surface such that the unit normal vector field of the surface along this curve is rational will be called a curve providing Pythagorean surface normals (or shortly a PSN curve). These curves represent rational paths on the surface along which the surface possesses rational offset curves. Our aim is to study rational surfaces containing enough PSN curves. The relation with PN surfaces will be also investigated and thoroughly discussed. The algebraic and geometric properties of PSN curves will be described using the theory of double planes. The main motivation for this contribution is to bring the theory of rational offsets of rational surfaces closer to the practical problems appearing in numerical-control machining where the milling cutter does not follow continuously the whole offset surface but only certain chosen trajectories on it. A special attention will be devoted to rational surfaces with pencils of PSN curves. A rational curve on a rational surface such that the unit normal vector field of the surface along this curve is rational will be called a curve providing Pythagorean surface normals (or shortly a PSN curve). These curves represent rational paths on the surface along which the surface possesses rational offset curves. Our aim is to study rational surfaces containing enough PSN curves. The relation with PN surfaces will be also investigated and thoroughly discussed. The algebraic and geometric properties of PSN curves will be described using the theory of double planes. The main motivation for this contribution is to bring the theory of rational offsets of rational surfaces closer to the practical problems appearing in numerical-control machining where the milling cutter does not follow continuously the whole offset surface but only certain chosen trajectories on it. A special attention will be devoted to rational surfaces with pencils of PSN curves. (en)
Title	Surfaces with Pythagorean normals along rational curves Surfaces with Pythagorean normals along rational curves (en)
skos:prefLabel	Surfaces with Pythagorean normals along rational curves Surfaces with Pythagorean normals along rational curves (en)
skos:notation	RIV/49777513:23520/14:43922791!RIV15-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	7
http://linked.open...vai/riv/dodaniDat	2015
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	48670
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/14:43922791
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	numerical-control machining; PSN pencils; PSN curves; rational surfaces; double planes; Pythagorean surface normals; Offset surfaces (en)
http://linked.open.../riv/klicoveSlovo	double planes rational surfaces Offset surfaces PSN curves PSN pencils Pythagorean surface normals numerical-control machining
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[CB8A4DBD1945]
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	2014
http://linked.open...v/svazekPeriodika	31
http://linked.open...iv/tvurceVysledku	Lávička, Miroslav Vršek, Jan
issn	0167-8396
number of pages	12 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.cagd.2014.05.008
http://localhost/t...ganizacniJednotka	23520

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