2013/03/07 by Maria Charina, Charina, Maria, Costanza Conti +3
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #FOS: Mathematics #Numerical Analysis (math.NA) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1303.1678
openalex publication_date 2013/03/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study scalar multivariate non-stationary subdivision schemes with a\ngeneral dilation matrix. We characterize the capability of such schemes to\nreproduce exponential polynomials in terms of simple algebraic conditions on\ntheir symbols. These algebraic conditions provide a useful theoretical tool for\nchecking the reproduction properties of existing schemes and for constructing\nnew schemes with desired reproduction capabilities and other enhanced\nproperties. We illustrate our results with several examples.\n