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SHEARLET TRANSFORMS AND DIRECTIONAL REGULARITIES
International Journal of Wavelets, Multiresolution and Information Processing, 2010 In 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.
J. SAMPO, P. LAKHONCHAI, S. SUMETKIJAKAN
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Homogeneous approximation property for continuous shearlet transforms in higher dimensions
Journal of Inequalities and Applications, 2016 This paper is concerned with the generalization of the homogeneous approximation property (HAP) for a continuous shearlet transform to higher dimensions. First, we give a pointwise convergence result on the inverse shearlet transform in higher dimensions.
Yu Su, Wanchang Zhang, Wenting Su
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Shearlet Transform Applied to a Prostate Cancer Radiomics Analysis on MR Images
MathematicsFor decades, wavelet theory has attracted interest in several fields in dealing with signals. Nowadays, it is acknowledged that it is not very suitable to face aspects of multidimensional data like singularities and this has led to the development of ...
Rosario Corso +3 more
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IEEE Access, 2020 Colon cancer identification is of great significance in medical diagnosis. Real-time, objective and accurate inspection results will facilitate medical professionals to explore symptomatic treatment promptly.
Meiyan Liang +4 more
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Suppressing seismic random noise based on non-subsampled shearlet transform and improved FFDNet
Frontiers in Earth ScienceTraditional denoising methods often lose details or edges, such as Gaussian filtering. Shearlet transform is a multi-scale geometric analysis tool which has the advantages of multi-resolution and multi-directivity.
Hua Fan, Yang Zhang, Wenxu Wang, Tao Li
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, 2009 Die Themen dieser Dissertation sind die notwendigen und die hinreichenden Bedingungen fuerdie Frameeigenschaft in L^2(R^2) bei irregulren Shearlet-Systemen.
Kittipoom, Pisamai
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Applied and Computational Harmonic Analysis, 2015 In this paper, we introduce Gabor shearlets, a variant of shearlet systems, which are based on a different group representation than previous shearlet constructions: they combine elements from Gabor and wavelet frames in their construction. As a consequence, they can be implemented with standard filters from wavelet theory in combination with standard ...
Bodmann, Bernhard G. +2 more
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A Comparative Study of Shearlet, Wavelet, Laplacian Pyramid, Curvelet, and Contourlet Transform to Defect Detection [PDF]
Journal of Soft Computing in Civil Engineering, 2023 This study presents a new approach based on shearlet transform for the first time to detect damages, and compare it with the wavelet, Laplacian pyramid, curvelet, and contourlet transforms to specify different types of defects in plate structures ...
Sepideh Vafaie, Eysa Salajegheh
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$p$-adic Dual Shearlet Frames [PDF]
Sahand Communications in Mathematical Analysis, 2019 We introduced the continuous and discrete $p$-adic shearlet systems. We restrict ourselves to a brief description of the $p$-adic theory and shearlets in real case.
Mahdieh Fatemidokht +1 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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