Results 81 to 90 of about 4,542 (232)
Fast Finite Shearlet Transform [PDF]
arXiv, 2012 In recent years it has turned out that shearlets have the potential to retrieve directional information so that they became interesting for many applications. Moreover the continuous shearlet transform has the outstanding property to stem from a square integrable group representation.
arxiv
Irregular Shearlet Frames: Geometry and Approximation Properties [PDF]
arXiv, 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. However, only very few construction strategies for discrete shearlet systems are known so far.
arxiv
Analysis of Inpainting via Clustered Sparsity and Microlocal Analysis [PDF]
, 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
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).
openaire +2 more sources
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
openaire +4 more sources
Approximation properties of hybrid shearlet-wavelet frames for Sobolev spaces [PDF]
, 2017 In this paper, we study a newly developed shearlet system on bounded domains which yields frames for $H^s(\Omega)$ for some $s\in \mathbb{N}$, $\Omega \subset \mathbb{R}^2$. We will derive approximation rates with respect to $H^s(\Omega)$ norms for functions whose derivatives admit smooth jumps along curves and demonstrate superior rates to those ...
arxiv +1 more source
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.
openaire +2 more sources
Skin Lesion Classification System Using Shearlets
Computer systems science and engineering, 2023 S. M. Kumar, T. Kumanan
semanticscholar +1 more source
Lieb, Entropy and Logarithmic uncertainty principles for the multivariate continuous quaternion Shearlet Transform [PDF]
arXiv, 2019 In this paper, we generalize the continuous quaternion shearlet transform on $\mathbb{R}^{2}$ to $\mathbb{R}^{2d}$, called the multivariate two sided continuous quaternion shearlet transform. Using the two sided quaternion Fourier transform, we derive several important properties such as (reconstruction formula, reproducing kernel, plancherel's formula,
arxiv
Different faces of the shearlet group [PDF]
arXiv, 2014 Recently, shearlet groups have received much attention in connection with shearlet transforms applied for orientation sensitive image analysis and restoration. The square integrable representations of the shearlet groups provide not only the basis for the shearlet transforms but also for a very natural definition of scales of smoothness spaces, called ...
arxiv