Univariate Cubic L1 Interpolating Splines: Analytical Results for Linearity, Convexity and Oscillation on 5-PointWindows

Univariate Cubic L1 Interpolating Splines: Analytical Results for Linearity, Convexity and Oscillation on 5-PointWindows

We analytically investigate univariate C1 continuous cubic L1 interpolating splines calculated by minimizing an L1 spline functional based on the second derivative on 5-point windows. Specifically, we link geometric properties of the data points in the windows with linearity, convexity and oscillati...

Full description

Bibliographic Details
Main Authors: Shu-Cherng Fang, John E. Lavery, Qingwei Jin
Format: Article
Language:English
Published: MDPI AG 2010-07-01
Series:Algorithms
Subjects:
convexity
cubic L1 spline
5-point window
interpolation
linearity
locally calculated
oscillation
second-derivative-based
univariate
Online Access:http://www.mdpi.com/1999-4893/3/3/276/

Internet

http://www.mdpi.com/1999-4893/3/3/276/

Similar Items