Total Positivity of the Cubic Trigonometric Bézier Basis
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-17
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
Within the general framework of Quasi Extended Chebyshev space, we prove that the cubic trigonometric Bézier basis with two shape parameters λ and μ given in Han et al.
(2009) forms an optimal normalized totally positive basis for λ,μ∈(-2,1].
Moreover, we show that for λ=-2 or μ=-2 the basis is not suited for curve design from the blossom point of view.
In order to compute the corresponding cubic trigonometric Bézier curves stably and efficiently, we also develop a new corner cutting algorithm.
American Psychological Association (APA)
Han, Xuli& Zhu, Yuanpeng. 2014. Total Positivity of the Cubic Trigonometric Bézier Basis. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-453927
Modern Language Association (MLA)
Han, Xuli& Zhu, Yuanpeng. Total Positivity of the Cubic Trigonometric Bézier Basis. Journal of Applied Mathematics No. 2014 (2014), pp.1-5.
https://search.emarefa.net/detail/BIM-453927
American Medical Association (AMA)
Han, Xuli& Zhu, Yuanpeng. Total Positivity of the Cubic Trigonometric Bézier Basis. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-5.
https://search.emarefa.net/detail/BIM-453927
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-453927