Generalized Daubechies wavelet families
We present a generalization of the orthonormal Daubechies wavelets and of their related
biorthogonal flavors (Cohen-Daubechies-Feauveau, 9/7). Our fundamental constraint is that …
biorthogonal flavors (Cohen-Daubechies-Feauveau, 9/7). Our fundamental constraint is that …
Non-stationary subdivision schemes: State of the art and perspectives
C Conti, N Dyn - Approximation Theory XVI: Nashville, TN, USA, May 19 …, 2021 - Springer
This paper reviews the state of the art of non-stationary subdivision schemes, which are
iterative procedures for generating smooth objects from discrete data, by repeated level …
iterative procedures for generating smooth objects from discrete data, by repeated level …
A non-stationary uniform tension controlled interpolating 4-point scheme reproducing conics
In this paper we propose a non-stationary C1-continuous interpolating 4-point scheme
which provides users with a single tension parameter that can be either arbitrarily increased …
which provides users with a single tension parameter that can be either arbitrarily increased …
Generalized B-splines as a tool in isogeometric analysis
The concept of isogeometric analysis has been proposed in [13], where NURBS are
considered as basis of the analysis, thanks to their ability to construct an exact geometric …
considered as basis of the analysis, thanks to their ability to construct an exact geometric …
[HTML][HTML] Algebraic conditions on non-stationary subdivision symbols for exponential polynomial reproduction
We present an accurate investigation of the algebraic conditions that the symbols of a non-
singular, univariate, binary, non-stationary subdivision scheme should fulfill in order to …
singular, univariate, binary, non-stationary subdivision scheme should fulfill in order to …
[HTML][HTML] From approximating subdivision schemes for exponential splines to high-performance interpolating algorithms
L Romani - Journal of Computational and Applied Mathematics, 2009 - Elsevier
In this work we construct three novel families of approximating subdivision schemes that
generate piecewise exponential polynomials and we show how to convert these into …
generate piecewise exponential polynomials and we show how to convert these into …
Convergence of univariate non-stationary subdivision schemes via asymptotic similarity
A new equivalence notion between non-stationary subdivision schemes, termed asymptotic
similarity, which is weaker than asymptotic equivalence, is introduced and studied. It is …
similarity, which is weaker than asymptotic equivalence, is introduced and studied. It is …
Regularity of non-stationary subdivision: a matrix approach
M Charina, C Conti, N Guglielmi, V Protasov - Numerische mathematik, 2017 - Springer
In this paper, we study scalar multivariate non-stationary subdivision schemes with integer
dilation matrix M and present a unifying, general approach for checking their convergence …
dilation matrix M and present a unifying, general approach for checking their convergence …
Reproduction of exponential polynomials by multivariate non-stationary subdivision schemes with a general dilation matrix
We study scalar multivariate non-stationary subdivision schemes with a general integer
dilation matrix. We characterize the capability of such schemes to reproduce exponential …
dilation matrix. We characterize the capability of such schemes to reproduce exponential …
Multiresolution subdivision snakes
We present a new family of snakes that satisfy the property of multiresolution by exploiting
subdivision schemes. We show in a generic way how to construct such snakes based on an …
subdivision schemes. We show in a generic way how to construct such snakes based on an …