Results 11 to 20 of about 2,599 (188)
ShearLab 3D: Faithful Digital Shearlet Transforms based on Compactly Supported Shearlets [PDF]
ACM Transactions on Mathematical Software, 2014 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 ...
Kutyniok, Gitta +2 more
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A Convolution-Based Shearlet Transform in Free Metaplectic Domains
Journal of Mathematics, 2021 The free metaplectic transformation (FMT) is a multidimensional integral transform that encompasses a broader range of integral transforms, from the classical Fourier to the more recent linear canonical transforms. The aim of this study is to introduce a
Tarun K. Garg +3 more
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Clifford-Valued Shearlet Transforms on Cl(P,Q)-Algebras
Journal of Mathematics, 2022 The shearlet transform is a promising and powerful time-frequency tool for analyzing nonstationary signals. In this article, we introduce a novel integral transform coined as the Clifford-valued shearlet transform on Cl(p,q) algebras which is designed to
Firdous A. Shah +2 more
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Frontiers in Earth Science, 2023 Microseismic noise suppression is widely used in the exploration of unconventional oil and gas resources. The effective microseismic downhole signals have extremely weak energy and are contaminated by strong interference, making data processing and ...
Li Han, Dongyan Wang, Pengjun Yu
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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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Perceptual watermarking for Discrete Shearlet transform [PDF]
2014 5th European Workshop on Visual Information Processing (EUVIP), 2014 This paper presents a new perceptual watermarking model for Discrete Shearlet transform (DST). DST provides the optimal representation [10] of the image features based on multi-resolution and multi-directional analysis. This property can be exploited on for watermark embedding to achieve the watermarking imperceptibility by introducing the human visual
Baharak Ahmaderaghi +3 more
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The shearlet transform and Lizorkin spaces [PDF]
, 2020 17
Bartolucci, Francesca +2 more
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Comptes Rendus. Géoscience, 2020 Low-amplitude signal detection is a key procedure in borehole microseismic and desert seismic exploration. Usually, signals are difficult to detect due to their low amplitude and noise contamination.
Li, Yue +3 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 ...
Gitta Kutyniok +2 more
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The Continuous Shearlet Transform in Arbitrary Space Dimensions [PDF]
Journal of Fourier Analysis and Applications, 2009 This note is concerned with the generalization of the continuous shearlet transform to higher dimensions. Similar to the two-dimensional case, our approach is based on translations, anisotropic dilations and specific shear matrices. We show that the associated integral transform again originates from a square-integrable representation of a ...
Dahlke, Stephan +2 more
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