Convexity preserving scattered data interpolation using Powell–Sabin elements
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Cited by (8)
On C<sup>2</sup> cubic quasi-interpolating splines and their computation by subdivision via blossoming
2023, Journal of Computational and Applied MathematicsA novel construction of B-spline-like bases for a family of many knot spline spaces and their application to quasi-interpolation
2022, Journal of Computational and Applied MathematicsCitation Excerpt :Shape-preserving properties for the spline spaces proposed in this work can be achieved by imposing conditions on the location of the new knots to achieve simpler results than those available when using spaces without split points. Inserting new knots is used also in the bivariate case to preserve convexity [17]. The proposed B-spline-like functions could be used in a natural way to define shape-preserving approximating splines.
Nonnegative data interpolation by spherical splines
2018, Journal of Computational and Applied MathematicsSmooth bivariate shape-preserving cubic spline approximation
2016, Computer Aided Geometric DesignCitation Excerpt :Constructions based on local information and leading to computationally attractive local schemes have been successfully employed as well, see for example (Schumaker and Speleers, 2010; Costantini and Manni, 1991, 1999; Manni, 2001). Macro-element spaces have been extensively used in development of shape-preservation methods, see for example (Willemans and Dierckx, 1994, 1995; Schmidt, 1999; Li, 1999; Lai, 2000; Carnicer et al., 2009). In this paper we develop a local approach to shape-preservation.
Convexity preserving splines over triangulations
2011, Computer Aided Geometric DesignConvexity-preserving scattered data interpolation scheme using side-vertex method
2019, International Journal of Applied and Computational Mathematics
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Partially supported by the Spanish Research Grant MTM2006-03388 and by Gobierno de Aragón.