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Abstract Shearlet Transform [PDF]
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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Clifford Valued Shearlet Transform
Advances in Applied Clifford Algebras, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sharma, Jyoti, Singh, Shivam Kumar
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SHEARLET TRANSFORMS AND DIRECTIONAL REGULARITIES
International Journal of Wavelets, Multiresolution and Information Processing, 2010In an effort to characterize uniform and pointwise Hölder regularities, we obtain necessary decay rates and sufficient decay rates of continuous and discrete shearlet transform across scales. They are the same rates as those of the Hart Smith and continuous curvelet transforms.
P. Lakhonchai +2 more
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3-D Discrete Shearlet Transform and Video Processing
IEEE Transactions on Image Processing, 2012In this paper, we introduce a digital implementation of the 3-D shearlet transform and illustrate its application to problems of video denoising and enhancement. The shearlet representation is a multiscale pyramid of well-localized waveforms defined at various locations and orientations, which was introduced to overcome the limitations of traditional ...
Demetrio Labate, Pooran Singh Negi
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THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM
International Journal of Wavelets, Multiresolution and Information Processing, 2008Finding optimal representations of signals in higher dimensions, in particular directional representations, is currently the subject of intensive research. Since the classical wavelet transform does not provide precise directional information in the sense of resolving the wavefront set, several new representation systems were proposed in the past ...
Stephan Dahlke +5 more
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On the shearlet transform using hyperbolic functions
2014Summary: In this paper, we focus on the study of shearlet transform which is defined by using the hyperbolic functions. As a result, we check an admissibility condition such that implies the reconstruction formula. To this end, we use the concept of the classical shearlet, which indicates the position and direction of a singularity.
Zare, Masoumeh +2 more
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Shearlet and contourlet transforms for analysis of electrocardiogram signals
Computer Methods and Programs in Biomedicine, 2018Cardiac arrhythmia is an abnormal variation in the heart electrical activity that affects millions of people worldwide. Electrocardiogram (ECG) signals have been widely used to assess and diagnose cardiac abnormalities.A novel methodology based on shearlet and contourlet transforms for automatically classify an input ECG signal into different heart ...
Paulo H. J. Amorim +4 more
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Discrete linear canonical shearlet transform
International Journal of Wavelets, Multiresolution and Information ProcessingIn this paper, we introduce the continuous and discrete version of the linear canonical shearlet transform (LCST). The authors begin with the definition of the LCST and then establish a relationship between the linear canonical transform (LCT) and the LCST.
Younis Ahmad Bhat, Neyaz A. Sheikh
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A saliency detection model using shearlet transform
Multimedia Tools and Applications, 2014Visual attention is a mechanism to derive possible locations of objects or regions from natural scenes, and many studies have tried to simulate this mechanism to build saliency detection models, which would accelerate the course of many applications, such as object location, detection and recognition, image segmentation, retrieval and so on.
Lei Bao +3 more
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The Radon transform intertwines wavelets and shearlets
Applied and Computational Harmonic Analysis, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bartolucci, Francesca +3 more
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