Shape-preserving properties of univariate cubic L1 splines

Author:

Cheng Hao,Fang Shu-Cherng,Lavery John E.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference22 articles.

1. Preserving convexity using piecewise cubic interpolation;Brodlie;Comput. Graphics,1991

2. H. Cheng, Theory and algorithms for cubic L1 splines, Ph.D. Dissertation, Operations Research Program, North Carolina State University, 2002.

3. Univariate cube L1 splines—a geometric programming approach;Cheng;Math. Method Oper. Res.,2002

4. Algorithms for shape-preserving interpolation;Constantini,1989

5. Curves and Surfaces for Computer Aided Geometric Design;Farin,1997

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1. Optimization Models for Interpolating Overlapping Interval Data;IOP Conference Series: Materials Science and Engineering;2020-03-01

2. Convex Shape Preservation of Cubic $$L^1$$ Spline Fits;Annals of Data Science;2017-01-03

3. On shape-preserving capability of cubic L1 spline fits;Computer Aided Geometric Design;2015-12

4. Convexity-preserving approximation by univariate cubic splines;Journal of Computational and Applied Mathematics;2015-10

5. Approximation of Irregular Geometric Data by Locally Calculated Univariate Cubic $$L^1$$ L 1 Spline Fits;Annals of Data Science;2014-03

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