14 citations · 24 across the 15 of their papers we have counts for
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math.NA2012★ 2 cited
Polynomial Reproduction of Multivariate Scalar Subdivision Schemes with General Dilation
Maria Charina, Lucia Romani
In this paper we study scalar multivariate subdivision schemes with general integer expanding dilation matrix. Our main result yields simple algebraic conditions on the symbols of…
math.NA2012
Polynomial Reproduction of Multivariate Scalar Subdivision Schemes
Maria Charina, Costanza Conti
A stationary subdivision scheme generates the full space of polynomials of degree up to if and only if its mask satisfies sum rules of order , or its symbol satisfies zero…
math.NA2012
Numerical methods for checking the regularity of subdivision schemes
Maria Charina
In this paper, motivated by applications in computer graphics and animation, we study the numerical methods for checking regularity of vector multivariate subdivision schemes…