90 citations · 109 across the 21 of their papers we have counts for
25 papers
Weighted least squares subdivision schemes for noisy data on triangular meshes
Costanza Conti, Sergio López-Ureña, Dionisio F. Yáñez
This paper presents and analyses a new family of linear subdivision schemes to refine noisy data given on triangular meshes. The subdivision rules consist of locally fitting and ev…
Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
Gert Aarts, Joerg Aichelin, Chris Allton +38
Phase transitions in a non-perturbative regime can be studied by ab initio Lattice Field Theory methods. The status and future research directions for LFT investigations of Quantum…
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…
Reproduction Capabilities of Penalized Hyperbolic-polynomial Splines
Rosanna Campagna, Costanza Conti
This paper investigates two important analytical properties of hyperbolic-polynomial penalized splines, HP-splines for short. HP-splines, obtained by combining a special type of di…
Annihilation Operators for Exponential Spaces in Subdivision
Costanza Conti, Sergio Lopez-Urena, Lucia Romani
We investigate properties of differential and difference operators annihilating certain finite-dimensional subspaces of exponential functions in two variables that are connected to…
Convergence analysis of corner cutting algorithms refining points and refining nets of functions
Costanza Conti, Nira Dyn, Lucia Romani
In this paper we give an elementary proof of the convergence of corner cutting algorithms refining points, in case the corner cutting weights are taken from the rather general clas…
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…
Stirling numbers and Gregory coefficients for the factorization of Hermite subdivision operators
Caroline Moosmüller, Svenja Hüning, Costanza Conti
In this paper we present a factorization framework for Hermite subdivision schemes refining function values and first derivatives, which satisfy a spectral condition of high order.…
An algebraic approach to polynomial reproduction of Hermite subdivision schemes
Costanza Conti, Svenja Hüning
We present an accurate investigation of the algebraic conditions that the symbols of a univariate, binary, Hermite subdivision scheme have to fulfil in order to reproduce polynomia…
Convergence and normal continuity analysis of non-stationary subdivision schemes near extraordinary vertices and faces
Costanza Conti, Marco Donatelli, Lucia Romani +1
Convergence and normal continuity analysis of a bivariate non-stationary (level-dependent) subdivision scheme for 2-manifold meshes with arbitrary topology is still an open issue.…
Symmetric four-directional bivariate pseudo-splines
Costanza Conti, Chongyang Deng, Kai Hormann
Univariate pseudo-splines are a generalization of uniform B-splines and interpolatory -point subdivision schemes. Each pseudo-spline is characterized as the subdivision scheme…
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…
Ellipse-preserving Hermite interpolation and subdivision
Costanza Conti, Lucia Romani, Michael Unser
We introduce a family of piecewise-exponential functions that have the Hermite interpolation property. Our design is motivated by the search for an effective scheme for the joint i…
Approximation order and approximate sum rules in subdivision
Costanza Conti, Lucia Romani, Jungho Yoon
Several properties of stationary subdivision schemes are nowadays well understood. In particular, it is known that the polynomial generation and reproduction capability of a statio…
Convergence of univariate non-stationary subdivision schemes via asymptotical similarity
Costanza Conti, Nira Dyn, Carla Manni +1
A new equivalence notion between non-stationary subdivision schemes, termed asymptotical similarity, which is weaker than asymptotical equivalence, is introduced and studied. It is…
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…
Exponential Splines and Pseudo-Splines: Generation versus reproduction of exponential polynomials
Costanza Conti, Luca Gemignani, Lucia Romani
Subdivision schemes are iterative methods for the design of smooth curves and surfaces. Any linear subdivision scheme can be identified by a sequence of Laurent polynomials, also c…
Hermite subdivision schemes, exponential polynomial generation, and annihilators
Costanza Conti, Mariantonia Cotronei, Tomas Sauer
We consider the question when the so--called spectral condition} for Hermite subdivision schemes extends to spaces generated by polynomials and exponential functions. The main tool…
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…
From full rank subdivision schemes to multichannel wavelets: A constructive approach
Mariantonia Cotronei, Costanza Conti
In this paper, we describe some recent results obtained in the context of vector subdivision schemes which possess the so-called full rank property. Such kind of schemes, in partic…
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…
On the reproduction properties of non-stationary subdivision schemes
Costanza Conti, Lucia Romani
We present an accurate investigation of the algebraic conditions that the symbols of a convergent, univariate, binary, non-stationary subdivision scheme should fulfill in order to…
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…