نتایج جستجو برای: surface smoothness

تعداد نتایج: 644205  

1999
Zhuoer Shi D. S. Zhang Donald J. Kouri David K. Hoffman

We present a novel polynomial functional neural networks using Distributed Approximating Functional (DAF) wavelets (infinitely smooth filters in both time and frequency regimes), for signal estimation and surface fitting. The remarkable advantage of these polynomial nets is that the functional space smoothness is identical to the state space smoothness (consisting of the weighting vectors). The...

Journal: :Journal of Approximation Theory 2015
Yurii Kolomoitsev Jürgen Prestin

The main purpose of the paper is to study sharp estimates of approximation of periodic functions in the Hölder spaces H p for all 0 < p ≤ ∞ and 0 < α ≤ r. By using modifications of the classical moduli of smoothness, we give improvements of the direct and inverse theorems of approximation and prove the criteria for the precise order of decrease of the best approximation in these spaces. Moreove...

2015
Borislav R. Draganov

The paper presents upper estimates of the error of weighted and unweighted simultaneous approximation by the Bernstein operators and their iterated Boolean sums. The estimates are stated in terms of the Ditzian-Totik modulus of smoothness or appropriate K-functionals. AMS classification: 41A10, 41A17, 41A25, 41A28, 41A35, 41A36.

2003
Janusz J. Charatonik J. Charatonik

Interrelations between smoothness of a continuum at a point, pointwise smoothness, the property of Kelley at a point and local connectedness are studied in the paper.

2010
Chadi Nour Ronald J. Stern Jean Takche J. TAKCHE

The exterior sphere condition is compared to proximal smoothness, and examples are provided, which show that the two properties are not necessarily equivalent. Then conditions are given under which equivalence holds, and an open question involving the union of uniform closed balls property is stated in the form of a conjecture.

2007
Naokant Deo NAOKANT DEO

The purpose of this present paper is to give an equivalent theorem on Lupaş operators with ω φλ(f, t), where ω r φλ(f, t) is Ditzian-Totik modulus of smoothness for linear combination of Lupaş operators.

Journal: :NeuroImage 2018
Emma C. Robinson Kara Garcia Matthew F. Glasser Zhengdao Chen Timothy S. Coalson Antonios Makropoulos Jelena Bozek Robert Wright Andreas Schuh Matthew A. Webster Jana Hutter Anthony Price Lucilio Cordero-Grande Emer J. Hughes Nora Tusor Philip V. Bayly David C. Van Essen Stephen M. Smith Daniel Rueckert

In brain imaging, accurate alignment of cortical surfaces is fundamental to the statistical sensitivity and spatial localisation of group studies, and cortical surface-based alignment has generally been accepted to be superior to volume-based approaches at aligning cortical areas. However, human subjects have considerable variation in cortical folding, and in the location of functional areas re...

Journal: :SIAM J. Math. Analysis 2012
Gitta Kutyniok Jakob Lemvig Wang-Q Lim

Abstract. We study efficient and reliable methods of capturing and sparsely representing anisotropic structures in 3D data. As a model class for multidimensional data with anisotropic features, we introduce generalized three-dimensional cartoon-like images. This function class will have two smoothness parameters: one parameter β controlling classical smoothness and one parameter α controlling a...

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