C 1 Rational Quadratic Trigonometric Interpolation Spline for Data Visualization
Joint Authors
Chen, Zhili
Zhu, Yuanpeng
Liu, Shengjun
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-16
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
A new C1 piecewise rational quadratic trigonometric spline with four local positive shape parameters in each subinterval is constructed to visualize the given planar data.
Constraints are derived on these free shape parameters to generate shape preserving interpolation curves for positive and/or monotonic data sets.
Two of these shape parameters are constrained while the other two can be set free to interactively control the shape of the curves.
Moreover, the order of approximation of developed interpolant is investigated as O(h3).
Numeric experiments demonstrate that our method can construct nice shape preserving interpolation curves efficiently.
American Psychological Association (APA)
Liu, Shengjun& Chen, Zhili& Zhu, Yuanpeng. 2015. C 1 Rational Quadratic Trigonometric Interpolation Spline for Data Visualization. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-20.
https://search.emarefa.net/detail/BIM-1075253
Modern Language Association (MLA)
Liu, Shengjun…[et al.]. C 1 Rational Quadratic Trigonometric Interpolation Spline for Data Visualization. Mathematical Problems in Engineering No. 2015 (2015), pp.1-20.
https://search.emarefa.net/detail/BIM-1075253
American Medical Association (AMA)
Liu, Shengjun& Chen, Zhili& Zhu, Yuanpeng. C 1 Rational Quadratic Trigonometric Interpolation Spline for Data Visualization. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-20.
https://search.emarefa.net/detail/BIM-1075253
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1075253