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- W4214771884 abstract "Abstract In many applications, it is useful to use piecewise polynomials that satisfy certain regularity conditions at the joint points. Cubic spline functions emerge as good candidates having C 2 regularity. On the other hand, if the data points present discontinuities, the classical spline approximations produce Gibbs oscillations. In a recent paper, we have introduced a new nonlinear spline approximation avoiding the presence of these oscillations. Unfortunately, this new reconstruction loses the C 2 regularity. This paper introduces a new nonlinear spline that preserves the regularity at all the joint points except at the end points of an interval containing a discontinuity, and that avoids the Gibbs oscillations." @default.
- W4214771884 created "2022-03-02" @default.
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- W4214771884 date "2022-02-25" @default.
- W4214771884 modified "2023-10-16" @default.
- W4214771884 title "A class of C2 quasi-interpolating splines free of Gibbs phenomenon" @default.
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- W4214771884 doi "https://doi.org/10.1007/s11075-022-01254-6" @default.
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