Creating a bridge between cardinal Br-spline fundamental functions for interpolation and subdivision

Lucia Romani

Applied Mathematics and Computation, 2021, vol. 401, issue C

Abstract: This paper presents innovative contributions to the fields of cardinal spline interpolation and subdivision. In particular, it unifies cardinal Br-spline fundamental functions for interpolation that are made of r=ML+1 (L∈N∪{0}) distinct pieces between each pair of interpolation nodes and are featured by the properties of C2M−2 smoothness, approximation order 2M and support width 2M(r+1)r, with the basic limit functions of a special class of non-stationary subdivision schemes of arity M.

Keywords: Cardinal splines; Subdivision; Exponential polynomials; Interpolation; Generalized Bezout Equation (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:401:y:2021:i:c:s0096300321001193

DOI: 10.1016/j.amc.2021.126071

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