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 C2 and C3 convergence, that is the sets of parameters that fulfill the necessary and sufficient conditions for C2 and C3 convergence, respectively. The identified region of C2 convergence improves a recent result obtained by other authors by considering only sufficient conditions for C2 convergence

Novara P, Romani L (2016). Complete characterization of the regions of C2 and C3 convergence of combined ternary 4-point subdivision schemes. APPLIED MATHEMATICS LETTERS, 62, 84-91 [10.1016/j.aml.2016.07.004].

Complete characterization of the regions of C2 and C3 convergence of combined ternary 4-point subdivision schemes

Romani L
2016

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 C2 and C3 convergence, that is the sets of parameters that fulfill the necessary and sufficient conditions for C2 and C3 convergence, respectively. The identified region of C2 convergence improves a recent result obtained by other authors by considering only sufficient conditions for C2 convergence
2016
Novara P, Romani L (2016). Complete characterization of the regions of C2 and C3 convergence of combined ternary 4-point subdivision schemes. APPLIED MATHEMATICS LETTERS, 62, 84-91 [10.1016/j.aml.2016.07.004].
Novara P; Romani L
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/646095
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