14 citations · 24 across the 15 of their papers we have counts for
18 papers
Multivariate compactly supported functions by subdivision
Maria Charina, Costanza Conti, Nira Dyn
This paper discusses the generation of multivariate functions with compact small supports by subdivision schemes. Following the construction of such a univariate functio…
Analytic functions in shift-invariant spaces and analytic limits of level dependent subdivision
Maria Charina, Vladimir Yu. Protasov
The structure of exponential subspaces of finitely generated shift-invariant spaces is well understood and the role of such subspaces for the approximation power of refinable funct…
Multiple multivariate subdivision schemes: matrix and operator approaches
Maria Charina, Thomas Mejstrik
This paper extends the matrix based approach to the setting of multiple subdivision schemes studied in [Sauer 2012]. Multiple subdivision schemes, in contrast to stationary and non…
Optimal Hölder-Zygmund exponent of semi-regular refinable functions
Maria Charina, Costanza Conti, Lucia Romani +2
The regularity of refinable functions has been investigated deeply in the past 25 years using Fourier analysis, wavelet analysis, restricted and joint spectral radii techniques. Ho…
Anisotropic, interpolatory subdivision and multigrid
Maria Charina, Marco Donatelli, Lucia Romani +1
In this paper, we present a family of multivariate grid transfer operators appropriate for anisotropic multigrid methods. Our grid transfer operators are derived from a new family…
Regularity of anisotropic refinable functions
Maria Charina, Vladimir Yu. Protasov
This paper presents a detailed regularity analysis of anisotropic wavelet frames and subdivision. In the univariate setting, the smoothness of wavelet frames and subdivision is wel…
Multigrid methods: grid transfer operators and subdivision schemes
Maria Charina, Marco Donatelli, Lucia Romani +1
The convergence rate of a multigrid method depends on the properties of the smoother and the so-called grid transfer operator. In this paper we define and analyze new grid transfer…
System theory and orthogonal multi-wavelets
Maria Charina, Costanza Conti, Mariantonia Cotronei +1
In this paper we provide a complete and unifying characterization of compactly supported univariate scalar orthogonal wavelets and vector-valued or matrix-valued orthogonal multi-w…
Limits of level and parameter dependent subdivision schemes: a matrix approach
Maria Charina, Costanza Conti, Nicola Guglielmi +1
In this paper, we present a new matrix approach for the analysis of subdivision schemes whose non-stationarity is due to linear dependency on parameters whose values vary in a comp…
Regularity of Non-Stationary Multivariate Subdivision
Maria Charina, Costanza Conti, Nicola Guglielmi +1
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 convergen…
An Algebraic Perspective on Multivariate Tight Wavelet Frames. II
Maria Charina, Mihai Putinar, Claus Scheiderer +1
Continuing our recent work we study polynomial masks of multivariate tight wavelet frames from two additional and complementary points of view: convexity and system theory. We cons…
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…
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…
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…
Scalar Subdivision Schemes and Box Splines
Maria Charina, Costanza Conti, Kurt Jetter +1
We study scalar -variate subdivision schemes, with dilation matrix 2I, satisfying the sum rules of order . Using the results of Möller and Sauer, stated for general expanding…