Инд. авторы: | Kvasov B.I. |
Заглавие: | Monotone and convex interpolation by weighted quadratic splines |
Библ. ссылка: | Kvasov B.I. Monotone and convex interpolation by weighted quadratic splines // Advances in Computational Mathematics. - 2014. - Vol.40. - Iss. 1. - P.91-116. - ISSN 1019-7168. - EISSN 1572-9044. |
Внешние системы: | DOI: 10.1007/s10444-013-9300-9; SCOPUS: 2-s2.0-84896319799; WoS: 000330718300005; |
Реферат: | eng: In this paper we discuss the design of algorithms for interpolating discrete data by using weighted C (1) quadratic splines in such a way that the monotonicity and convexity of the data are preserved. The analysis culminates in two algorithms with automatic selection of the shape control parameters: one to preserve the data monotonicity and other to retain the data convexity. Weighted C (1) quadratic B-splines and control point approximation are also considered.
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Ключевые слова: | Control point approximation; Weighted B-splines; Adaptive choice of shape control parameters; Weighted C-1 quadratic splines; Monotone and convex interpolation; |
Издано: | 2014 |
Физ. характеристика: | с.91-116 |