14 citations · 24 across the 15 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…
A real algebra perspective on multivariate tight wavelet frames
Maria Charina, Mihai Putinar, Claus Scheiderer +1
Recent results from real algebraic geometry and the theory of polynomial optimization are related in a new framework to the existence question of multivariate tight wavelet frames…