Total Positivity of the Cubic Trigonometric Bézier Basis

Xuli Han and Yuanpeng Zhu

Journal of Applied Mathematics, 2014, vol. 2014, 1-5

Abstract:

Within the general framework of Quasi Extended Chebyshev space, we prove that the cubic trigonometric Bézier basis with two shape parameters and given in Han et al. (2009) forms an optimal normalized totally positive basis for . Moreover, we show that for or 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.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/JAM/2014/198745.pdf (application/pdf)
http://downloads.hindawi.com/journals/JAM/2014/198745.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:198745

DOI: 10.1155/2014/198745

Access Statistics for this article

More articles in Journal of Applied Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().