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DC poleHodnotaJazyk
dc.contributor.authorVršek, Jan
dc.date.accessioned2018-10-21T10:00:14Z-
dc.date.available2018-10-21T10:00:14Z-
dc.date.issued2018
dc.identifier.issn0167-8396
dc.identifier.urihttp://hdl.handle.net/11025/30451
dc.format12 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherElsevieren
dc.rightsPlný text není přístupný.cs
dc.rights© Elsevieren
dc.titleContour curves and isophotes on rational ruled surfacesen
dc.typečlánekcs
dc.typearticleen
dc.rights.accessclosedAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedRuled surfaces, i.e., surfaces generated by a one-parametric set of lines, are widely used in the field of applied geometry. An isophote on a surface is a curve consisting of those surface points whose normals form a constant angle with a fixed vector. Choosing the angle equal to pi/2 we obtain a special instance of the isophote - the so called contour curve. While contours on rational ruled surfaces are rational curves, this is no longer true for the isophotes. Hence we will provide a formula for their genus. Moreover we will show that the only surfaces with a rational generic contour are just the rational ruled surfaces and a particular class of cubic surfaces. In addition we will deal with a reconstruction of ruled surfaces from their silhouettes.en
dc.subject.translatedContour curveen
dc.subject.translatedIsophoteen
dc.subject.translatedRuled surfaceen
dc.subject.translatedRational parametrizationen
dc.subject.translatedPythagorean normalen
dc.subject.translatedSurface reconstructionen
dc.identifier.doi10.1016/j.cagd.2018.06.006
dc.type.statusPeer-revieweden
dc.identifier.document-number444930100001
dc.identifier.obd43923055
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
Vyskytuje se v kolekcích:Články / Articles (KMA)
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