A New 5-Point Ternary Interpolating Subdivision Scheme and Its Differentiability. (14th November 2012)

• Record Type: Journal Article
• Authors: Mustafa, Ghulam; Irum, Jayyada; Bari, Mehwish
• Other Names: Hajdu L. Academic Editor.; Pan L. Academic Editor.; Wang Q.-W. Academic Editor.
• Is Part Of: ISRN computational mathematics. Volume 2012(2012)
• Publication Date: 2012-11-14
• Subjects: Numerical analysis -- Periodicals; Mathematics -- Data processing -- Periodicals; Mathematics -- Data processing; Numerical analysis; Electronic journals; Periodicals; 510
• DOI: 10.5402/2012/924839
• Languages: English
• ISSNs: 2090-7842

Abstract

Abstract : A new 5-point ternary interpolating scheme with a shape parameter is introduced. The resulting curve is C 2 for a certain range of parameters. The differentiable properties of the proposed scheme to extend its application in the generation of smooth curves are explored. Application of the proposed scheme is given to show its visual smoothness. The scheme is also extended to a 5-point tensor product ternary interpolating scheme, and its numerical examples are also included.