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
doaj +3 more sources
Continuous Shearlet Tight Frames [PDF]
Journal of Fourier Analysis and Applications, 2010 Based on the shearlet transform we present a general construction of continuous tight frames for $L^2(\mathbb{R}^2)$ from any sufficiently smooth function with anisotropic moments.
Grohs, Philipp
core +7 more sources
Computerized tomography with total variation and with shearlets [PDF]
Inverse Problems, 2017 To reduce the x-ray dose in computerized tomography (CT), many constrained optimization approaches have been proposed aiming at minimizing a regularizing function that measures a lack of consistency with some prior knowledge about the object that is ...
Edgar Garduño, Gábor T. Herman
semanticscholar +6 more sources
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
doaj +2 more sources
Shearlets as feature extractor for semantic edge detection: the model-based and data-driven realm. [PDF]
Proc Math Phys Eng Sci, 2020 Semantic edge detection has recently gained a lot of attention as an image-processing task, mainly because of its wide range of real-world applications. This is based on the fact that edges in images contain most of the semantic information.
Andrade-Loarca H, Kutyniok G, Öktem O.
europepmc +3 more sources
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
doaj +2 more sources
Asymptotic Analysis of Inpainting via Universal Shearlet Systems [PDF]
, 2014 Recently introduced inpainting algorithms using a combination of applied harmonic analysis and compressed sensing have turned out to be very successful.
Genzel, Martin, Kutyniok, Gitta
core +4 more sources
Scale Invariant Interest Points with Shearlets [PDF]
IEEE Transactions on Image Processing, 2016 Shearlets are a relatively new directional multi-scale framework for signal analysis, which have been shown effective to enhance signal discontinuities such as edges and corners at multiple scales.
De Vito, Ernesto +3 more
core +2 more sources
Analysis of directional higher order jump discontinuities with trigonometric shearlets [PDF]
Mathematical Foundations of Computing, 2021 In a recent article, we showed that trigonometric shearlets are able to detect directional step discontinuities along edges of periodic characteristic functions.
Kevin Schober, Jürgen Prestin
openalex +3 more sources
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
doaj +3 more sources