2014/06/27 by Maria Charina, Costanza Conti, Charina, Maria +5
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Image and Object Detection Techniques #Numerical Analysis (math.NA) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1406.7131
openalex publication_date 2014/06/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study scalar multivariate non-stationary subdivision schemes with integer dilation matrix M=mI, m >=2, and present a general approach for checking their convergence and for determining their Hölder regularity. The combination of the concepts of asymptotic similarity and approximate sum rules allows us to link stationary and non-stationary settings and to employ recent advances in methods for exact computation of the joint spectral radius. As an application, we prove a recent conjecture on the Hölder regularity of the generalized Daubechies wavelets. We illustrate our results with several examples.