Convexity-preserving piecewise rational cubic interpolation

Journal of Information and Computational Science

Volumn 2, Issue 4, 2005, Pages 799-803

  Tian, Meng ^a   Zhang, Yunfeng ^b   Zhu, Jingmei ^b   Duan, Qi ^b  

^a SHANDONG UNIVERSITY OF TECHNOLOGY   (China)

^b SHANDONG UNIVERSITY   (China)

Author keywords

Approximation; Convexity preserving; Interpolation

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; CURVE FITTING; ERROR ANALYSIS; SPLINES; VISUALIZATION;

CONVEX DATA; CONVEX INTERPOLATION; CONVEXITY PRESERVING; ERROR ESTIMATION; PIECEWISE RATIONAL CUBIC SPLINES;

INTERPOLATION;

EID: 33644949673     PISSN: 15487741     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. K. W. Brodlie, S. Butt, Preserving convexity using piecewise cubic interpolation, Computers and Graphics 15 (1991) 15-23.
2. R. Delbourgo, Shape preserving interpolation to convex data by rational functions with quadratic numerator and linear denominator, IMA J. Numer. Anal. 9 (1989) 123-136.
3. Q. Duan, K. Djidjeli, W. G. Price, E. H. Twizell, A rational cubic spline based on function values, Computers and Graphics 22 (1998) 479-486.
4. J. A. Gregory, R. Delbourgo, Piecewise rational quadratic interpolation to monotonic data, IMA J. Numer. Anal. 2 (1982) 123-130.
5. M. Sarfraz, Visualization of positive and convex data by a rational cubic spline interpolation, Information Sciences 146 (2002) 239-254.
6. R. H. Wang, G. Q. Zhu, Rational Function Approximation and Its Application, Science Press, Beijing, 2004, pp. 290-309.