Complete characterization of the regions of C2 and C3 convergence of combined ternary 4-point subdivision schemes. (December 2016)

• Record Type: Journal Article
• Authors: Novara, Paola; Romani, Lucia
• Is Part Of: Applied mathematics letters. Volume 62(2016:Dec.)
• Page Start: 84
• Page End: 91
• Publication Date: 2016-12
• Subjects: Combined ternary subdivision -- Convergence -- Regularity -- Joint spectral radius -- Shape parameters; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2016.07.004
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: We present a 3-parameter combined ternary 4-point subdivision scheme that provides a unifying framework for several independent proposals appeared in the literature. For such a scheme we completely characterize the regions of C 2 and C 3 convergence, that is the sets of parameters that fulfill the necessary and sufficient conditions for C 2 and C 3 convergence, respectively. The identified region of C 2 convergence improves a recent result obtained by other authors by considering only sufficient conditions for C 2 convergence.