Generalised mean averaging interpolation by discrete cubic splines
نویسندگان
چکیده
منابع مشابه
Constrained Interpolation via Cubic Hermite Splines
Introduction In industrial designing and manufacturing, it is often required to generate a smooth function approximating a given set of data which preserves certain shape properties of the data such as positivity, monotonicity, or convexity, that is, a smooth shape preserving approximation. It is assumed here that the data is sufficiently accurate to warrant interpolation, rather than least ...
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We describe an algorithm for constructing point sets which admit unique Lagrange and Hermite interpolation from the space S 1 3 (() of C 1 splines of degree 3 deened on a general class of triangulations. The triangulations consist of nested polygons whose vertices are connected by line segments. In particular, we have to determine the dimension of S 1 3 (() which is not known for arbitrary tria...
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In this paper, geometric Hermite interpolation by planar cubic G1 splines is studied. Three data points and three tangent directions are interpolated per each polynomial segment. Sufficient conditions for the existence of such G1 spline are determined that cover most of the cases encountered in practical applications. The existence requirements are based only upon geometric properties of data a...
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In this paper, geometric interpolation by G cubic spline is studied. A wide class of sufficient conditions that admit a G cubic spline interpolant is determined. In particular, convex data as well as data with inflection points are included. The existence requirements are based upon geometric properties of data entirely, and can be easily verified in advance. The algorithm that carries out the ...
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Lagrange interpolation schemes are constructed based on C 1 cubic splines on certain triangulations obtained from checkerboard quad-rangulations. x1. Introduction Given a triangulation 4 of a simply connected polygonal domain , the space of C 1 cubic splines is deened by S 1 3 (4) := fs 2 C 1 (() : sj T 2 P 3 , all T 2 4g; where P 3 is the space of cubic bivariate polynomials. In this paper we ...
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ژورنال
عنوان ژورنال: Publications of the Research Institute for Mathematical Sciences
سال: 1994
ISSN: 0034-5318
DOI: 10.2977/prims/1195166276