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dc.contributor.authorBizzarri, Michal
dc.contributor.authorLávička, Miroslav
dc.contributor.authorVršek, Jan
dc.date.accessioned2019-09-02T10:00:15Z-
dc.date.available2019-09-02T10:00:15Z-
dc.date.issued2019
dc.identifier.citationBIZZARRI, M., LÁVIČKA, M., VRŠEK, J. Linear computational approach to interpolations with polynomial Minkowski Pythagorean hodograph curves. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, roč. 361, č. 1 December, s. 283-294. ISSN 0377-0427.en
dc.identifier.issn0377-0427
dc.identifier.uri2-s2.0-85065620605
dc.identifier.urihttp://hdl.handle.net/11025/34928
dc.format12 s.cs
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherElsevieren
dc.rightsPlný text není přístupný.cs
dc.rights© Elsevieren
dc.titleLinear computational approach to interpolations with polynomial Minkowski Pythagorean hodograph curvesen
dc.typečlánekcs
dc.typearticleen
dc.rights.accessclosedAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedMethods using Pythagorean hodographs both in Euclidean plane and Minkowski space are often used in geometric modelling when necessary to solve the problem of rationality of offsets of planar domains. A main justification for studying and formulating approximation and interpolation algorithms based on the called Minkowski Pythagorean hodograph (MPH) curves is the fact that they make the trimming procedure of inner offsets considerably simpler. This is why one can find many existing techniques in literature. In this paper a simple computational approach to parametric/geometric Hermite interpolation problem by polynomial MPH curves in R 2,1 is presented and an algorithm to construct such interpolants is described. The main idea is to construct first not a tangent but a normal vector space satisfying the prescribed MPH property that matches the given first order conditions, and then to compute a curve possessing this constructed normal vector space and satisfying all the remaining interpolation conditions. Compared to other methods using special formalisms (e.g. Clifford algebra), the presented approach is based only on solving systems of linear equations. The results are confirmed by number of examples.en
dc.subject.translatedMedial axis transformen
dc.subject.translatedMinkowski Pythagorean hodograph curvesen
dc.subject.translatedHermite interpolationen
dc.subject.translatedTrimmed offsetsen
dc.identifier.doi10.1016/j.cam.2019.04.029
dc.type.statusPeer-revieweden
dc.identifier.document-number474316500018
dc.identifier.obd43926087
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
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