A general method is given for constructing sets of sufficient linear conditions that ensure convexity of a polynomial in Bernstein-Bezier form on a triangle. Using the linear conditions, computational methods based on macro-element spline spaces are developed to construct convexity preserving splines over triangulations that interpolate or approximate given scattered data.

Schumaker, L.l., Speleers, H. (2011). Convexity preserving splines over triangulations. COMPUTER AIDED GEOMETRIC DESIGN, 28(4), 270-284 [10.1016/j.cagd.2011.03.001].

Convexity preserving splines over triangulations

Speleers H.
2011-05-01

Abstract

A general method is given for constructing sets of sufficient linear conditions that ensure convexity of a polynomial in Bernstein-Bezier form on a triangle. Using the linear conditions, computational methods based on macro-element spline spaces are developed to construct convexity preserving splines over triangulations that interpolate or approximate given scattered data.
mag-2011
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/08 - ANALISI NUMERICA
English
Con Impact Factor ISI
Spline interpolation; Shape preservation; Convex surfaces
Schumaker, L.l., Speleers, H. (2011). Convexity preserving splines over triangulations. COMPUTER AIDED GEOMETRIC DESIGN, 28(4), 270-284 [10.1016/j.cagd.2011.03.001].
Schumaker, Ll; Speleers, H
Articolo su rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/215126
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