Zobrazeno 1 - 10
of 274
pro vyhledávání: '"Dyn, Nira"'
Autor:
Dyn, Nira, Sharon, Nir
This work presents several new results concerning the analysis of the convergence of binary, univariate, and linear subdivision schemes, all related to the {\it contractivity factor} of a convergent scheme. First, we prove that a convergent scheme ca
Externí odkaz:
http://arxiv.org/abs/2405.09414
A new notion of metric differentiability of set-valued functions at a point is introduced in terms of right and left limits of special set-valued metric divided differences of first order. A local metric linear approximant of a metrically differentia
Externí odkaz:
http://arxiv.org/abs/2403.02858
For set-valued functions (SVFs, multifunctions), mapping a compact interval $[a,b]$ into the space of compact non-empty subsets of ${\mathbb R}^d$, we study approximation based on the metric approach that includes metric linear combinations, metric s
Externí odkaz:
http://arxiv.org/abs/2304.12375
We introduce an adaptation of integral approximation operators to set-valued functions (SVFs, multifunctions), mapping a compact interval $[a,b]$ into the space of compact non-empty subsets of ${\mathbb R}^d$. All operators are adapted by replacing t
Externí odkaz:
http://arxiv.org/abs/2212.00439
This paper discusses the generation of multivariate $C^\infty$ functions with compact small supports by subdivision schemes. Following the construction of such a univariate function, called \emph{Up-function}, by a non-stationary scheme based on mask
Externí odkaz:
http://arxiv.org/abs/2211.05677
Given a finite number of samples of a continuous set-valued function F, mapping an interval to compact subsets of the real line, we develop good approximations of F, which can be computed efficiently.
Externí odkaz:
http://arxiv.org/abs/2208.14929
We describe a general approach for constructing a broad class of operators approximating high-dimensional curves based on geometric Hermite data. The geometric Hermite data consists of point samples and their associated tangent vectors of unit length
Externí odkaz:
http://arxiv.org/abs/2203.02903
Publikováno v:
In Computer Aided Geometric Design June 2024 111
Publikováno v:
In Applied and Computational Harmonic Analysis May 2024 70
We introduce and investigate an adaptation of Fourier series to set-valued functions (multifunctions, SVFs) of bounded variation. In our approach we define an analogue of the partial sums of the Fourier series with the help of the Dirichlet kernel us
Externí odkaz:
http://arxiv.org/abs/2008.10340