Some examples of quasi-interpolants constructed from local spline projectors

Authors:
Byung-Gook Lee;Tom Lyche;Knut Mørken
Affiliations:
Dongseo Univ., Pusan, South Korea;Univ. of Oslo, Oslo, Norway;Univ. of Oslo, Oslo, Norway
Venue:
Mathematical Methods for Curves and Surfaces
Year:
2001

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Abstract

We give a recipe for deriving local spline approximation methods which reproduce the whole spline space. The methods are obtained by solving a series of local approximation problems. Examples of specific quadratic and cubic approximation methods are given.