Constructing multiwavelet-based shearlets and using them for automatic segmentation of noisy brain images affected by COVID-19 [PDF]
Journal of Medical Signals and Sensors, 2023 Backgorund: Nowadays, everybody's life is dominated by COVID-19, which might have been the source of severe acute respiratory syndrome coronavirus 2. This virus disrupts the lungs first of all.
Nasser Aghazadeh +2 more
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Discrete Shearlets as a Sparsifying Transform in Low-Rank Plus Sparse Decomposition for Undersampled (k, t)-Space MR Data [PDF]
Journal of Imaging, 2022 The discrete shearlet transformation accurately represents the discontinuities and edges occurring in magnetic resonance imaging, providing an excellent option of a sparsifying transform.
Nicholas E. Protonotarios +3 more
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A model-based image fusion framework using discrete band-limited shearlets [PDF]
Scientific ReportsThe limited dynamic range of digital imaging sensors often leads to under- or over-exposed images. While deep learning methods currently dominate multi-exposure image fusion (MEF), they suffer from data dependency and poor interpretability.
Wentao Ji, Xing Chen
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Normalized group activations based feature extraction technique using heterogeneous data for Alzheimer’s disease classification [PDF]
PeerJ Computer ScienceSeveral deep learning networks are developed to identify the complex atrophic patterns of Alzheimer's disease (AD). Among various activation functions used in deep neural networks, the rectifier linear unit is the most used one.
Krishnakumar Vaithianathan +5 more
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A Numerical Formulation for N-Dimensional Wave Equations Using Shearlets [PDF]
Control and Optimization in Applied Mathematics, 2020 A shearlet frame approach is used to solve $n$-dimensional wave equations numerically. By the presented procedure, the shearlet coefficients are obtained via separate time-independent partial differential equations.
Rama Amiri +2 more
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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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PULMONARY EMPHYSEMA ANALYSIS USING SHEARLET BASED TEXTURES AND RADIAL BASIS FUNCTION NETWORK
International Journal of Advances in Signal and Image Sciences, 2020 The emergence of High Resolution Computed Tomography (HRCT) images of the lungs clearly shows the parenchymal lung architecture and thus the quantification of obstructive lung disease becomes most accurate.
Wogderes Semunigus
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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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Mathematics, 2020 The discrete wavelet transform (DWT) is unable to represent the directional features of an image. Similarly, a fixed embedding strength is not able to establish an ideal balance between imperceptibility and robustness of a watermarked image. In this work,
Qiumei Zheng, Nan Liu, Fenghua Wang
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IEEE Access, 2017 Sparsity is one of the key concepts that allows the signal recovery at a significantly lower subsample rate than required by the Nyquist-Shannon sampling theorem.
Guomin Sun, Jinsong Leng, Tingzhu Huang
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