Pseudo-splines are a rich family of functions that allows the user to meet various demands for balancing polynomial reproduction (i.e., approximation power), regularity and support size. Such a family includes, as special members, B-spline functions, universally known for their usefulness in different fields of application. When replacing polynomial reproduction by exponential polynomial reproduction, a new family of functions is obtained. This new family is here constructed and called the family of exponential pseudo-splines. It is the nonstationary counterpart of (polynomial) pseudo-splines and includes exponential B-splines as a special subclass. In this work we provide a computational strategy for deriving the explicit expression of the Laurent polynomial sequence that identifies the family of exponential pseudo-spline nonstationary subdivision schemes. For this family we study its symmetry properties and perform its convergence and regularity analysis. Finally, we also show that the family of primal exponential pseudo-splines fills in the gap between exponential B-splines and interpolatory cardinal functions. This extends the analogous property of primal pseudo-spline stationary subdivision schemes.
Conti, C., Gemignani, L., & Romani, L. (2016). Exponential pseudo-splines: Looking beyond exponential B-splines. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 439(1), 32-56.
Citazione: | Conti, C., Gemignani, L., & Romani, L. (2016). Exponential pseudo-splines: Looking beyond exponential B-splines. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 439(1), 32-56. |
Tipo: | Articolo in rivista - Articolo scientifico |
Carattere della pubblicazione: | Scientifica |
Presenza di un coautore afferente ad Istituzioni straniere: | No |
Titolo: | Exponential pseudo-splines: Looking beyond exponential B-splines |
Autori: | Conti, C; Gemignani, L; Romani, L |
Autori: | ROMANI, LUCIA (Ultimo) |
Data di pubblicazione: | 2016 |
Lingua: | English |
Rivista: | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jmaa.2016.02.019 |
Appare nelle tipologie: | 01 - Articolo su rivista |