Explicit Bézier control net of a PDE surface
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Title
Explicit Bézier control net of a PDE surfaceDate
2017-02Publisher
ElsevierType
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0898122116306848Version
info:eu-repo/semantics/sumittedVersionSubject
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 ... [+]
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. [-]
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Computers & Mathematics with Applications Volume 73, Issue 3, 1 February 2017Rights
© 2016 Elsevier Ltd. All rights reserved.
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info:eu-repo/semantics/openAccess
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- MAT_Articles [759]
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