✦ LIBER ✦

Histopolating splines

✍ Scribed by Ralf Siewer

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 227 KB
Volume: 220
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.09.014

No coin nor oath required. For personal study only.

✦ Synopsis

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 polynomials of degree n. Our approach of generating such a histospline is based on a local spline interpolation operator that is exact for all polynomials of degree n.

📜 SIMILAR VOLUMES

Shape Preserving C2-Spline Histopolation

✍ J.W. Schmidt; W. Hess 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 592 KB

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 construc

Shape preserving histopolation using rat

Shape preserving histopolation using rational quadratic splines

✍ J. W. Schmidt; W. Heß; Th. Nordheim 📂 Article 📅 1990 🏛 Springer Vienna 🌐 English ⚖ 545 KB

Positive, monotone, andS-convexC1-histop

Positive, monotone, andS-convexC1-histopolation on rectangular grids

✍ Jochen W. Schmidt 📂 Article 📅 1993 🏛 Springer Vienna 🌐 English ⚖ 439 KB

Vector-valued Lg-splines II. Smoothing s

Vector-valued Lg-splines II. Smoothing splines

✍ Gursharan S. Sidhu; Howard L. Weinert 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 674 KB

Multivariate F-splines and Fractional Bo

Multivariate F-splines and Fractional Box Splines

✍ Zhiqiang Xu 📂 Article 📅 2009 🏛 SP Birkhäuser Verlag Boston 🌐 English ⚖ 365 KB

Quadratic splines

✍ A Sharma; J Tzimbalario 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 422 KB