In this paper we discuss the construction and we analyze the properties of quasi-interpolants based on an extension of C-1 Powell-Sabin quadratic splines over an arbitrary triangulation of a planar domain. These quasi-interpolants possess parameters which allow to control their shape avoiding oscillations and inflections extraneous to the behaviour of the data.
Manni, C. (2006). Shape Control in Powell-Sabin Quasi-Interpolation. In ALGORITHMS FOR APPROXIMATION, PROCEEDINGS (pp.219-240). BERLIN : SPRINGER-VERLAG BERLIN.
Shape Control in Powell-Sabin Quasi-Interpolation
MANNI, CARLA
2006-01-01
Abstract
In this paper we discuss the construction and we analyze the properties of quasi-interpolants based on an extension of C-1 Powell-Sabin quadratic splines over an arbitrary triangulation of a planar domain. These quasi-interpolants possess parameters which allow to control their shape avoiding oscillations and inflections extraneous to the behaviour of the data.File in questo prodotto:
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