Results 1 to 10 of about 131 (116)
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 ...
Bodmann, Bernhard G. +2 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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Shearlet Coorbit Spaces: Compactly Supported Analyzing Shearlets, Traces and Embeddings [PDF]
Journal of Fourier Analysis and Applications, 2011 The authors show that compactly supported functions with sufficient smoothness and enough vanishing moments can serve as analyzing vectors for shearlet coorbit space. This approach has bee used to prove embedding theorems for subspaces of shearlet coorbit spaces resembling shearlets on the cone into Besov spaces.
Dahlke, Stephan +2 more
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Digital Shearlet Transforms [PDF]
, 2012 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. Alongside the theoretical development of these systems, algorithmic realizations of the associated transforms ...
Kutyniok, G., Lim, W. -Q, Zhuang, X.
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Quaternionic shearlet transform [PDF]
Optik, 2018 Abstract The shearlet transform has been shown to be a valuable and powerful time–frequency analyzing tool for optics and non-stationary signal processing. In this article, we propose a novel transform called quaternionic shearlet transform which is designed to represent quaternion-valued signals at different scales, locations and orientations.
Firdous A. Shah, Azhar Y. Tantary
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Continuous Shearlet Tight Frames [PDF]
Journal of Fourier Analysis and Applications, 2010 ISSN:1531 ...
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Compactly Supported Shearlets [PDF]
, 2011 24 pages, 7 figures, Conference Proceeding: Approximation Theory XIII (San Antonio, TX, 2010), Springer (to appear)
Kutyniok, Gitta +2 more
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ACM Transactions on Mathematical Software, 2016 Wavelets and their associated transforms are highly efficient when approximating and analyzing one-dimensional signals. However, multivariate signals such as images or videos typically exhibit curvilinear singularities, which wavelets are provably deficient in sparsely approximating and also in analyzing in the sense of, for instance, detecting their ...
Kutyniok, Gitta +2 more
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Inhomogeneous shearlet coorbit spaces [PDF]
International Journal of Wavelets, Multiresolution and Information Processing, 2018 In this paper, we establish inhomogeneous coorbit spaces related to the continuous shearlet transform and the weighted Lebesgue spaces [Formula: see text] for certain weights [Formula: see text]. We present an inhomogeneous shearlet frame for [Formula: see text] which gives rise to a reproducing kernel [Formula: see text] that is not contained in the ...
Fabian Feise, Lukas Sawatzki
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