Zobrazeno 1 - 10
of 227
pro vyhledávání: '"Kutyniok, G."'
Given observations of a physical system, identifying the underlying non-linear governing equation is a fundamental task, necessary both for gaining understanding and generating deterministic future predictions. Of most practical relevance are automat
Externí odkaz:
http://arxiv.org/abs/2002.12388
The high complexity of various inverse problems poses a significant challenge to model-based reconstruction schemes, which in such situations often reach their limits. At the same time, we witness an exceptional success of data-based methodologies su
Externí odkaz:
http://arxiv.org/abs/1811.04602
This paper builds on recent developments of adaptive methods for linear transport equations based on certain stable variational formulations of Petrov-Galerkin type. The variational formulations allow us to employ meshes with cells of arbitrary aspec
Externí odkaz:
http://arxiv.org/abs/1601.00193
This paper proposes an image interpolation algorithm exploiting sparse representation for natural images. It involves three main steps: (a) obtaining an initial estimate of the high resolution image using linear methods like FIR filtering, (b) promot
Externí odkaz:
http://arxiv.org/abs/1308.1126
Over the past years, various representation systems which sparsely approximate functions governed by anisotropic features such as edges in images have been proposed. We exemplarily mention the systems of contourlets, curvelets, and shearlets. Alongsi
Externí odkaz:
http://arxiv.org/abs/1106.2052
Shearlet tight frames have been extensively studied during the last years due to their optimal approximation properties of cartoon-like images and their unified treatment of the continuum and digital setting. However, these studies only concerned she
Externí odkaz:
http://arxiv.org/abs/1003.5481
Recently, shearlet systems were introduced as a means to derive efficient encoding methodologies for anisotropic features in 2-dimensional data with a unified treatment of the continuum and digital setting. However, only very few construction strateg
Externí odkaz:
http://arxiv.org/abs/1002.2657
Autor:
Kutyniok, G., Lim, W.
Cartoon-like images, i.e., C^2 functions which are smooth apart from a C^2 discontinuity curve, have by now become a standard model for measuring sparse (non-linear) approximation properties of directional representation systems. It was already shown
Externí odkaz:
http://arxiv.org/abs/1002.2661
Publikováno v:
J. Functional Anal. 255 (2008), 1831--1850
H. Landau's necessary density conditions for sampling and interpolation may be viewed as a general principle resting on a basic fact of Fourier analysis: The complex exponentials $e^{i kx}$ ($k$ in $\mathbb{Z}$) constitute an orthogonal basis for $L^
Externí odkaz:
http://arxiv.org/abs/0803.3529
In this paper we establish a suprising fundamental identity for Parseval frames in a Hilbert space. Several variations of this result are given, including an extension to general frames. Finally, we discuss the derived results.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/math/0506357