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Shearlets and their applications

AIP Conference Proceedings, 2012
Shearlets were introduced as means to sparsely encode anisotropic singularities of multivariate data while providing a unified treatment of the continuous and digital realm. In this chapter, recent results on compactly supported shearlet systems will be presented, in particular, showing that these shearlet frames provide optimally sparse approximations
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Clifford Valued Shearlet Transform

Advances in Applied Clifford Algebras, 2020
This paper deals with the construction of $$n=3 \text{ mod } 4$$ Clifford algebra $$Cl_{n,0}$$ -valued admissible shearlet transform using the shearlet group $$(\mathbb {R}^* < imes \mathbb {R}^{n-1}) < imes \mathbb {R}^n$$ , a subgroup of affine group of $${\mathbb {R}}^n$$ .
Jyoti Sharma, Shivam Kumar Singh
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Multimodal Medical Image Sensor Fusion Model Using Sparse K-SVD Dictionary Learning in Nonsubsampled Shearlet Domain

IEEE Transactions on Instrumentation and Measurement, 2020
Multimodal medical image sensor fusion (MMISF) has a significant role for better visualization of the diagnostic statistics computed by integrating the vital information taken from input source images acquired using multimodal imaging sensors.
Sneha Singh, R. Anand
semanticscholar   +1 more source

Shearlet Coorbit Theory

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 ...
Sören Häuser   +3 more
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Shearlets as Multi-scale Radon Transforms

Sampling Theory in Signal and Image Processing, 2017
We show that the 2D-shearlet transform is the composition of the affine Radon transform, a 1D-wavelet transform and a 1D-convolution.
BARTOLUCCI, FRANCESCA   +3 more
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Biorthogonal Multiresolution Analysis of Shearlets

2009 First International Conference on Information Science and Engineering, 2009
In this paper, we will give the framework of biorthogonal multiresolution analysis of shearlets in two dimensions, and study associated mathematical properties. Then, we will generalize the classical cascade algorithm.
Ji-zheng Di, Zhi-hui Shi
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Face recognition using Shearlets

2012 IEEE 7th International Conference on Industrial and Information Systems (ICIIS), 2012
In this paper we propose a novel statistical face recognition method that uses a new multiresolution analysis called Shearlet transform for facial texture features representation. In recent years Shearlet transform has emerged as the most successful framework for the efficient representation of multidimensional data in which directional information is ...
Ajit Danti, K. M. Poornima
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The Discrete Shearlet Transform: A New Directional Transform and Compactly Supported Shearlet Frames

IEEE Transactions on Image Processing, 2010
It 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.
openaire   +3 more sources

Image Fusion Using Adjustable Non-subsampled Shearlet Transform

IEEE Transactions on Instrumentation and Measurement, 2019
Multiscale transform (MST) and sparse representation (SR)-based image fusion techniques are widely used in many applications. However, the existing fusion methods are inefficient to perfectly seize significant details and texture information of input ...
Amit Vishwakarma, Manas Kamal Bhuyan
semanticscholar   +1 more source

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