About: PN surfaces and their convolutions with rational surfaces

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Rationally parameterized hypersurfaces can be classified with respect to their RC properties (Rational Convolutions) with the help of the Gr\%22{o}bner bases theory. This classification focuses on special classes of rational parameterizations which provide a rational description of convolution hypersurfaces generally (GRC parameterizations), or just in some special cases (SRC parameterizations). The main aim of this paper is to bring the theory of the so called PN surfaces (surfaces with Pythagorean Normal vectors) and their PN parameterizations (parameterizations fulfilling the PN condition) in relation to the theory of SRC parameterizations and to show that this type of parameterizations can be further classified with respect to the degree of the construction of convolution surfaces. The connection of SRC PN parameterizations to the well known concepts of proper and square-root parameterizations is also investigated. Rationally parameterized hypersurfaces can be classified with respect to their RC properties (Rational Convolutions) with the help of the Gr\%22{o}bner bases theory. This classification focuses on special classes of rational parameterizations which provide a rational description of convolution hypersurfaces generally (GRC parameterizations), or just in some special cases (SRC parameterizations). The main aim of this paper is to bring the theory of the so called PN surfaces (surfaces with Pythagorean Normal vectors) and their PN parameterizations (parameterizations fulfilling the PN condition) in relation to the theory of SRC parameterizations and to show that this type of parameterizations can be further classified with respect to the degree of the construction of convolution surfaces. The connection of SRC PN parameterizations to the well known concepts of proper and square-root parameterizations is also investigated. (en) Racionální nadplochy mohou být dále klasifikovány vzhledem k tzv. RC podmínkám, a to s využitím Groebneroých bází. tato klasifikace se zaměřuje na speciální třídy parametrizací, které poskytují racionální konvoluce obecně (GRC parametrizace) nebo ve speciálních případech (SRC parametrizace). Našim hlavním cílem je propojit uvedenou teorii s teorií PN ploch a následně roztřídit PN parametrizace podle odpovídajících konvolučních stupňů. V článku jsou rovněž studovány souvislosti s tzv. %22proper%22 a %22square-root%22 parametrizacemi. (cs)
Title	PN surfaces and their convolutions with rational surfaces PN surfaces and their convolutions with rational surfaces (en) PN plochy a jejich konvoluce s racionálními plochami (cs)
skos:prefLabel	PN surfaces and their convolutions with rational surfaces PN surfaces and their convolutions with rational surfaces (en) PN plochy a jejich konvoluce s racionálními plochami (cs)
skos:notation	RIV/49777513:23520/08:00500444!RIV09-MSM-23520___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika	9
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Bastl, Bohumír Lávička, Miroslav
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	386894
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/08:00500444
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	PN surfaces; Convolution surfaces; Offsets; Rational parameterizations; Proper parameterizations; Square-root parameterizations (en)
http://linked.open.../riv/klicoveSlovo	Rational parameterizations PN surfaces Offsets Convolution surfaces Proper parameterizations Square-root parameterizations
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[44CF5254F5A5]
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...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	25
http://linked.open...iv/tvurceVysledku	Bastl, Bohumír Lávička, Miroslav
http://linked.open...ain/vavai/riv/wos	000261246200008
http://linked.open...n/vavai/riv/zamer	Spojité a diskrétní matematické struktury a vývoj odpovídajících metod jejich zkoumání
issn	0167-8396
number of pages	12 (xsd:int)
http://localhost/t...ganizacniJednotka	23520

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