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dc.contributor.authorBizzarri, Michal-
dc.contributor.authorLávička, Miroslav-
dc.date.accessioned2018-02-21T11:35:26Z-
dc.date.available2018-02-21T11:35:26Z-
dc.date.issued2017-
dc.identifier.citationBIZZARRI, M., LÁVIČKA, M. Triangular PN patches subject to surface-area constraints. Proceedings of the 17th International Conference on Mathematical Methods in Science and Engineering. Costa Ballena, Rota, Cádiz (Spain): CMMSE, 2017. s. 333-341. ISBN 978-84-617-8694-7.en
dc.identifier.isbn978-84-617-8694-7-
dc.identifier.urihttp://hdl.handle.net/11025/29273-
dc.format9 s.cs
dc.format.mimetypeapplication/pdf-
dc.language.isoenen
dc.publisherCMMSEen
dc.relation.ispartofseriesProceedings of the 17th International Conference on Mathematical Methods in Science and Engineeringen
dc.rightsPlný text není přístupný.cs
dc.rights© CMMSEen
dc.subjectG1 Hermiteova interpolacecs
dc.subjectPN povrchycs
dc.subjectprvek polynomiální oblastics
dc.titleTriangular PN patches subject to surface-area constraintsen
dc.typekonferenční příspěvekcs
dc.typeconferenceObjecten
dc.rights.accessclosedAccessen
dc.type.versionpublishedVersionen
dc.description.abstract-translatedThis paper is devoted to the construction of polynomial surfaces with Pythagorean normals (PN surfaces) interpolating given data subject to prescribed constraints on the surface area of the patch. This is a problem analogous to the interpolation with Pythagorean hodograph (PH) curves satisfying the condition on the arc length. The special structure of PN surfaces allows the surface-area condition to be expressed as algebraic constraints on the surfaces coefficients. We employ these shapes for solving the $G^1$ Hermite interpolation problem by triangular PN patches with prescribed surface area. The presented technique is based on interpolating points on the unit sphere and consequently on solving a system of several linear and one quadratic equations. We show that for generic input data there exist at most two quartic PN patches depending on the particular value of the prescribed surface area.en
dc.subject.translatedG1 Hermite interpolationen
dc.subject.translatedPN surfacesen
dc.subject.translatedpolynomial area elementen
dc.type.statusPeer-revieweden
dc.identifier.obd43919472-
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
Vyskytuje se v kolekcích:OBD
Konferenční příspěvky / Conference Papers (KMA)

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