90 citations · 109 across the 21 of their papers we have counts for
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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…