Results 1 to 10 of about 84 (77)
Applied and Computational Harmonic Analysis, 2015 In this paper, we introduce Gabor shearlets, a variant of shearlet systems, which are based on a different group representation than previous shearlet constructions: they combine elements from Gabor and wavelet frames in their construction. As a consequence, they can be implemented with standard filters from wavelet theory in combination with standard ...
Xiaosheng Zhuang, Gitta Kutyniok
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Introduction to Shearlets [PDF]
Applied and Numerical Harmonic Analysis, 2012 Shearlets emerged in recent years among the most successful frameworks for the efficient representation of multidimensional data. Indeed, after it was recognized that traditional multiscale methods are not very efficient at capturing edges and other anisotropic features which frequently dominate multidimensional phenomena, several methods were ...
Gitta Kutyniok, Demetrio Labate
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Image Separation Using Wavelets and Shearlets [PDF]
Lecture Notes in Computer Science, 2012 In this paper, we present an image separation method for separating images into point- and curvelike parts by employing a combined dictionary consisting of wavelets and compactly supported shearlets utilizing the fact that they sparsely represent point and curvilinear singularities, respectively. Our methodology is based on the very recently introduced
Gitta Kutyniok, Wang-Q Lim
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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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A Numerical Formulation for N-Dimensional Wave Equations Using Shearlets [PDF]
Control and Optimization in Applied Mathematics, 2020 A shearlet frame approach is used to solve $n$-dimensional wave equations numerically. By the presented procedure, the shearlet coefficients are obtained via separate time-independent partial differential equations.
Rama Amiri +2 more
doaj +1 more source
Journal of Imaging, 2022 The discrete shearlet transformation accurately represents the discontinuities and edges occurring in magnetic resonance imaging, providing an excellent option of a sparsifying transform.
Nicholas E. Protonotarios +3 more
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Journal of Medical Signals and Sensors, 2023 Backgorund: Nowadays, everybody's life is dominated by COVID-19, which might have been the source of severe acute respiratory syndrome coronavirus 2. This virus disrupts the lungs first of all.
Nasser Aghazadeh +2 more
doaj +1 more source
$p$-adic Dual Shearlet Frames [PDF]
Sahand Communications in Mathematical Analysis, 2019 We introduced the continuous and discrete $p$-adic shearlet systems. We restrict ourselves to a brief description of the $p$-adic theory and shearlets in real case.
Mahdieh Fatemidokht +1 more
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Abstract Shearlet Transform [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 Approximately ten years ago the generalization of wavelets to shearlets started its development. This paper extends shearlets (introduced in 2005 to find efficient extensions for the classical wavelet transform, see among others \textit{G. Kutyniok} and \textit{D. Labate} [``Construction of regular and irregular shearlet frames'', J.
Kamyabi-Gol, R.A., Atayi, V.
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Shearlet Smoothness Spaces [PDF]
Journal of Fourier Analysis and Applications, 2013 It is well known that spaces of Besov-Sobolev type can be characterized by building blocks such as atoms, molecules, wavelets where the smoothness is reflected by the related coefficients belonging to suitable sequence spaces. The paper contributes to this topic replacing the classical building blocks by more recent and more flexible ones, in ...
Labate, Demetrio +2 more
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