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Shearlets as Multi-scale Radon Transforms
Sampling Theory in Signal and Image Processing, 2017It 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
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The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames
IEEE Transactions on Image Processing, 2010It is now widely acknowledged that analyzing the intrinsic geometrical features of the underlying image is essential in many applications including image processing. In order to achieve this, several directional image representation schemes have been proposed.
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Oberwolfach Reports, 2011
Over the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing an efficient means for encoding isotropic phenomena. Directional multiscale systems, particularly shearlets, are now having the same dramatic impact on the encoding of multivariate signals.
Gitta Kutyniok, Demetrio Labate
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Over the last 20 years, multiscale methods and wavelets have revolutionized the field of applied mathematics by providing an efficient means for encoding isotropic phenomena. Directional multiscale systems, particularly shearlets, are now having the same dramatic impact on the encoding of multivariate signals.
Gitta Kutyniok, Demetrio Labate
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A Shearlet Approach to Edge Analysis and Detection
IEEE Transactions on Image Processing, 2009It is well known that the wavelet transform provides a very effective framework for analysis of multiscale edges. In this paper, we propose a novel approach based on the shearlet transform: a multiscale directional transform with a greater ability to localize distributed discontinuities such as edges.
Sheng Yi +3 more
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2015
In this chapter, we will provide a comprehensive overview of shearlet coorbit theory. We will present an almost self-contained introduction into coorbit theory which is the basis for all our investigations. We also discuss the group theoretical background of the continuous shearlet transform, and we explain how the shearlet transform can be combined ...
Stephan Dahlke +3 more
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In this chapter, we will provide a comprehensive overview of shearlet coorbit theory. We will present an almost self-contained introduction into coorbit theory which is the basis for all our investigations. We also discuss the group theoretical background of the continuous shearlet transform, and we explain how the shearlet transform can be combined ...
Stephan Dahlke +3 more
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2012 19th IEEE International Conference on Image Processing, 2012
Glenn R. Easley +2 more
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Glenn R. Easley +2 more
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Shearlets on bounded domains and analysis of singularities using compactly supported shearlets
2016Die vorliegende Arbeit untersucht und erweitert die Theorie der Shearletsysteme. Diese Systeme wurden seit ihrer Einführung in einer Vielzahl von Anwendungen in der Signal- und Bildverarbeitung und weiteren verwandten Gebieten eingesetzt. Die Resultate dieser Arbeit lassen sich zwei Bereichen zuordnen.
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Edge detection with trigonometric polynomial shearlets
Advances in Computational Mathematics, 2021Kevin Schober, Jürgen Prestin
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Complex shearlets and rotary phase congruence tensor for corner detection
Pattern Recognition, 2022Mingzhe Wang +2 more
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