6 papers
From big q-Jacobi and Chebyshev polynomials to exponential-reproducing subdivision: new identities
Leonard Peter Bos, Lucia Romani, Alberto Viscardi
In this paper we derive new identities satisfied by Chebyshev polynomials of the first kind and big q-Jacobi polynomials. An immediate benefit of the derived identities is the achi…
Construction and evaluation of PH curves in exponential-polynomial spaces
Lucia Romani, Alberto Viscardi
In the past few decades polynomial curves with Pythagorean Hodograph (for short PH curves) have received considerable attention due to their usefulness in various CAD/CAM areas, ma…
Bezout-like polynomial equations associated with dual univariate interpolating subdivision schemes
Luca Gemignani, Lucia Romani, Alberto Viscardi
The algebraic characterization of dual univariate interpolating subdivision schemes is investigated. Specifically, we provide a constructive approach for finding dual univariate in…
Dual Univariate Interpolatory Subdivision of Every Arity: Algebraic Characterization and Construction
Lucia Romani, Alberto Viscardi
A new class of univariate stationary interpolatory subdivision schemes of dual type is presented. As opposed to classical primal interpolatory schemes, these new schemes have masks…
Optimal Hölder-Zygmund exponent of semi-regular refinable functions
Maria Charina, Costanza Conti, Lucia Romani +2
The regularity of refinable functions has been investigated deeply in the past 25 years using Fourier analysis, wavelet analysis, restricted and joint spectral radii techniques. Ho…
Semi-regular Dubuc-Deslauriers wavelet tight frames
Alberto Viscardi
In this paper, we construct wavelet tight frames with n vanishing moments for Dubuc-Deslauriers 2npoint semi-regular interpolatory subdivision schemes. Our motivation for this cons…