Triangular PN patches subject to surface-area constraints
| dc.contributor.author | Bizzarri, Michal | |
| dc.contributor.author | Lávička, Miroslav | |
| dc.date.accessioned | 2018-02-21T11:35:26Z | |
| dc.date.available | 2018-02-21T11:35:26Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract-translated | This 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.format | 9 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | BIZZARRI, 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.isbn | 978-84-617-8694-7 | |
| dc.identifier.obd | 43919472 | |
| dc.identifier.uri | http://hdl.handle.net/11025/29273 | |
| dc.language.iso | en | en |
| dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
| dc.publisher | CMMSE | en |
| dc.relation.ispartofseries | Proceedings of the 17th International Conference on Mathematical Methods in Science and Engineering | en |
| dc.rights | Plný text není přístupný. | cs |
| dc.rights | © CMMSE | en |
| dc.rights.access | closedAccess | en |
| dc.subject | G1 Hermiteova interpolace | cs |
| dc.subject | PN povrchy | cs |
| dc.subject | prvek polynomiální oblasti | cs |
| dc.subject.translated | G1 Hermite interpolation | en |
| dc.subject.translated | PN surfaces | en |
| dc.subject.translated | polynomial area element | en |
| dc.title | Triangular PN patches subject to surface-area constraints | en |
| dc.type | konferenční příspěvek | cs |
| dc.type | conferenceObject | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |