Results 71 to 80 of about 4,434 (214)

From Frazier-Jawerth characterizations of Besov spaces to Wavelets and Decomposition spaces

open access: yes, 2016
This article describes how the ideas promoted by the fundamental papers published by M. Frazier and B. Jawerth in the eighties have influenced subsequent developments related to the theory of atomic decompositions and Banach frames for function spaces ...
Feichtinger, Hans Georg   +1 more
core   +1 more source

Sparse Regularization Based on Orthogonal Tensor Dictionary Learning for Inverse Problems

open access: yesMathematical 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

Medical Image Fusion based on Shearlets and Human Feature Visibility

open access: yes, 2015
image fusion is a technique that integrates complementary information from multimodality images. The fused image is more suitable for treatment plan strategies.
Nemir Al-Azzawi
semanticscholar   +1 more source

Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis [PDF]

open access: yes, 2012
Recently, compressed sensing techniques in combination with both wavelet and directional representation systems have been very effectively applied to the problem of image inpainting.
King, Emily J.   +2 more
core  

Irregular Shearlet Frames: Geometry and Approximation Properties

open access: yes, 2010
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.
Kittipoom, P., Kutyniok, G., Lim, W.
core   +2 more sources

Compactly supported shearlets are optimally sparse

open access: yesJournal 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
openaire   +3 more sources

The nonexistence of shearlet scaling functions

open access: yesApplied 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).
openaire   +2 more sources

Skin Lesion Classification System Using Shearlets

open access: yesComputer systems science and engineering, 2023
S. M. Kumar, T. Kumanan
semanticscholar   +1 more source

Complex shearlets and rotary phase congruence tensor for corner detection

open access: yesPattern Recognition, 2022
Mingzhe Wang, Changming Sun, A. Sowmya
semanticscholar   +1 more source

On Quaternion Shearlet Transforms

open access: yes, 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.
openaire   +2 more sources

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