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Shape Preserving C2-Spline Histopolation

✍ Scribed by J.W. Schmidt; W. Hess

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
592 KB
Volume
75
Category
Article
ISSN
0021-9045

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✦ Synopsis

In this paper, an area matching approximation of histograms is considered under constraints like convexity, monotonicity, or positivity. Using rational-lacunary (C^{2})-splines, sufficient conditions for the existence of convex, monotone, or positive histosplines as well as algorithms for constructing them effectively are given. Moreover, the existence criteria are shown to be satisfied for sufficiently large rationality or lacunarity parameters. 1993 Academic Press, Inc.

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Given an integrable function f, we are concerned with the construction of a spline H n (f ) of degree n with prescribed knots t = (t j ) j ∈Z that satisfies the histopolation conditions for some fixed s n+1 ∈ N. Additionally, the resulting spline operator should be local and reproduce all polynomia