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Explicit Bézier control net of a PDE surface
dc.contributor.author | Arnal, A. | |
dc.contributor.author | Monterde, Juan | |
dc.date.accessioned | 2017-02-27T11:55:39Z | |
dc.date.available | 2017-02-27T11:55:39Z | |
dc.date.issued | 2017-02 | |
dc.identifier.uri | http://hdl.handle.net/10234/166304 | |
dc.description.abstract | The PDE under study here is a general fourth-order linear elliptic Partial Differential Equation. Having prescribed the boundary control points, we provide the explicit expression of the whole control net of the associated PDE Bézier surface. In other words, we obtain the explicit expressions of the interior control points as linear combinations of free boundary control points. The set of scalar coefficients of these combinations works like a mould for PDE surfaces. Thus, once this mould has been computed for a given degree, real-time manipulation of the resulting surfaces becomes possible by modifying the prescribed information. | ca_CA |
dc.description.sponsorShip | The work was partially supported by Spanish Ministry of Economy and Competitiveness DGICYT grant MTM2015-64013. | ca_CA |
dc.format.extent | 10 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Computers & Mathematics with Applications Volume 73, Issue 3, 1 February 2017 | ca_CA |
dc.rights | © 2016 Elsevier Ltd. All rights reserved. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Partial Differential Equation | ca_CA |
dc.subject | PDE surface | ca_CA |
dc.subject | Surface Generation | ca_CA |
dc.subject | Tensor product Bézier surface | ca_CA |
dc.subject | Biharmonic surface | ca_CA |
dc.subject | Explicit solution | ca_CA |
dc.title | Explicit Bézier control net of a PDE surface | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.camwa.2016.12.013 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0898122116306848 | ca_CA |
dc.type.version | info:eu-repo/semantics/sumittedVersion |
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