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12/01/2022
Metric approximation of set-valued functions of bounded variation by integral operators
We introduce an adaptation of integral approximation operators to set-va...
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11/10/2022
Multivariate compactly supported C^∞ functions by subdivision
This paper discusses the generation of multivariate C^∞ functions with c...
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08/31/2022
Interpolation of Set-Valued Functions
Given a finite number of samples of a continuous set-valued function F, ...
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03/06/2022
Geometric Hermite Interpolation in ℝ^n by Refinements
We describe a general approach for constructing a broad class of operato...
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08/24/2020
Metric Fourier approximation of set-valued functions of bounded variation
We introduce and investigate an adaptation of Fourier series to set-valu...
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08/16/2019
Extending editing capabilities of subdivision schemes by refinement of point-normal pairs
In this paper we extend the 2D circle average of [11] to a 3D binary ave...
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07/12/2019
Analytic functions in shift-invariant spaces and analytic limits of level dependent subdivision
The structure of exponential subspaces of finitely generated shift-invar...
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02/21/2018
C^1 analysis of 2D subdivision schemes refining point-normal pairs with the circle average
This article continues the investigation started in [9] on subdivision s...
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08/14/2016