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math.NA2013
Subdivision schemes, network flows and linear optimization
Maria Charina, Geir Dahl
We link regularity and smoothness analysis of multivariate vector subdivision schemes with network flow theory and with special linear optimization problems. This connection allows…
math.NA2013
Reproduction of Exponential Polynomials by Multivariate Non-stationary Subdivision Schemes with a General Dilation Matrix
Maria Charina, Costanza Conti, Lucia Romani
We study scalar multivariate non-stationary subdivision schemes with a general dilation matrix. We characterize the capability of such schemes to reproduce exponential polynomials…