Results 41 to 50 of about 89 (85)
Sparse Regularization Based on Orthogonal Tensor Dictionary Learning for Inverse Problems
Mathematical Problems in Engineering, Volume 2024, Issue 1, 2024.In seismic data processing, data recovery including reconstruction of the missing trace and removal of noise from the recorded data are the key steps in improving the signal‐to‐noise ratio (SNR). The reconstruction of seismic data and removal of noise becomes a sparse optimization problem that can be solved by using sparse regularization.
Diriba Gemechu, Francisco Rossomando
wiley +1 more source
Compactly supported shearlets are optimally sparse
Journal of Approximation Theory, 2011 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 that curvelets, contourlets, as well as shearlets do exhibit (almost) optimally sparse approximation ...
Gitta Kutyniok, Wang-Q Lim
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The nonexistence of shearlet scaling functions
Applied and Computational Harmonic Analysis, 2012 AbstractOver the past five years, the directional representation system of shearlets has received much attention and has been shown to exhibit many advantageous properties. Over this time period, there have been a number of attempts to associate shearlet systems with a multiresolution analysis (MRA).
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Shearlet-based detection of flame fronts [PDF]
Experiments in Fluids, 2016 Identifying and characterizing flame fronts is the most common task in the computer-assisted analysis of data obtained from imaging techniques such as planar laser-induced fluorescence (PLIF), laser Rayleigh scattering (LRS), or particle imaging velocimetry (PIV).
Emily J. King +2 more
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On Quaternion Shearlet Transforms
, 2018 In this paper, we introduce the notion of quaternion shearlet transform- which is an extension of the ordinary shearlet transform. Firstly, we study the fundamental properties of quaternion shearlet transforms and then establish some basic results including Moyal's and inversion formulae.
Shah, Firdous A., Tantary, Azhar Y.
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Shearlet frames with short support
, 2011 Compactly supported shearlets have been studied in both theory and applications. In this paper, we construct symmetric compactly supported shearlet systems based on pseudo splines of type II. Specially, using B-splines, we construct shearlet frame having explicit analytical forms which is important for applications.
Li, Song, Shen, Yi
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Shearlet approximation of functions with discontinuous derivatives
Journal of Approximation Theory, 2016 We demonstrate that shearlet systems yield superior $N$-term approximation rates compared with wavelet systems of functions whose first or higher order derivatives are smooth away from smooth discontinuity curves. We will also provide an improved estimate for the decay of shearlet coefficients that intersect a discontinuity curve non-tangentially.
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shearlets on bounded domains and analysis of singularities using compactly supported shearlets
, 2016 In this thesis we discuss and extend the theory of shearlet systems. These systems were introduced by Guo, Kutyniok, Labate, Lim and Weiss, and have found a multitude of applications in signal- and image processing and related fields since then. The results of this thesis are split into two different but connected parts.
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Analyse von Shearlet-Coorbit-Räumen
, 2018 Coorbit theory provides a framework for the study of approximation theoretic properties of certain elementary building blocks and to analyze properties of functions by considering the decay behavior of their associated wavelet transform. This transform is based on a representation of a group and properties of the group are decisive for the structure of
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