Results 151 to 160 of about 566 (171)
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Shearlets as Multi-scale Radon Transforms

Sampling Theory in Signal and Image Processing, 2017
It is shown that the 2D-shearlet transform is the composition of the affine Radon transform, a 1D-wavelet transform and a 1D-convolution. This is applied to give an alternative proof of the fact that the shearlet transform is able to resolve the wavefront set associated with the unit disc.
BARTOLUCCI, FRANCESCA   +3 more
openaire   +2 more sources

COORBIT SPACE THEORY FOR THE TOEPLITZ SHEARLET TRANSFORM

International Journal of Wavelets, Multiresolution and Information Processing, 2012
In this paper we are concerned with the continuous shearlet transform in arbitrary space dimensions where the shear operation is of Toeplitz type. In particular, we focus on the construction of associated shearlet coorbit spaces and on atomic decompositions and Banach frames for these spaces.
Stephan Dahlke   +2 more
openaire   +2 more sources

THE UNCERTAINTY PRINCIPLE ASSOCIATED WITH THE CONTINUOUS SHEARLET TRANSFORM

International Journal of Wavelets, Multiresolution and Information Processing, 2008
Finding 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
openaire   +2 more sources

On the shearlet transform using hyperbolic functions

2014
Summary: 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
openaire   +2 more sources

Shearlet and contourlet transforms for analysis of electrocardiogram signals

Computer Methods and Programs in Biomedicine, 2018
Cardiac 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
openaire   +2 more sources

Discrete linear canonical shearlet transform

International Journal of Wavelets, Multiresolution and Information Processing
In 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
openaire   +2 more sources

A saliency detection model using shearlet transform

Multimedia Tools and Applications, 2014
Visual 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
openaire   +1 more source

Light Field Reconstruction Using Shearlet Transform in TensorFlow

2019 IEEE International Conference on Multimedia & Expo Workshops (ICMEW), 2019
Shearlet Transform (ST) is one of the most effective approaches for light field reconstruction from Sparsely-Sampled Light Fields (SSLFs). This demo paper presents a comprehensive implementation of ST for light field reconstruction using one of the most popular machine learning libraries, i.e. Tensor Flow. The flexible architecture of TensorFlow allows
Yuan Gao 0008   +3 more
openaire   +2 more sources

Shearlet Transform and the Application in Image Processing

2022
Shearlet is a multi-dimensional function used for sparse representation, which has many excellent characteristics such as multi-resolution and multi-direction. It can detect the position of singular points and the direction of singular curves, and is more sensitive to the geometric structure of the image.
Haitao H.   +3 more
openaire   +2 more sources

The Radon transform intertwines wavelets and shearlets

Applied and Computational Harmonic Analysis, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bartolucci, Francesca   +3 more
openaire   +1 more source

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