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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
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 +2 more sources
Applied and Computational Harmonic Analysis, 2013 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.
Bodmann, Bernhard G. +2 more
core +6 more sources
ShearLab 3D: Faithful Digital Shearlet Transforms based on Compactly Supported Shearlets [PDF]
ACM Transactions on Mathematical Software, 2014 Wavelets and their associated transforms are highly efficient when approximating and analyzing one-dimensional signals. However, multivariate signals such as images or videos typically exhibit curvilinear singularities, which wavelets are provably ...
Kutyniok, Gitta +2 more
core +5 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
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 +4 more sources
Introduction to Shearlets [PDF]
Applied and Numerical Harmonic Analysis, 2012 Shearlets emerged in recent years among the most successful frameworks for the efficient representation of multidimensional data. Indeed, after it was recognized that traditional multiscale methods are not very efficient at capturing edges and other anisotropic features which frequently dominate multidimensional phenomena, several methods were ...
Gitta Kutyniok, Demetrio Labate
exaly +2 more sources
Image Separation Using Wavelets and Shearlets [PDF]
Lecture Notes in Computer Science, 2012 In this paper, we present an image separation method for separating images into point- and curvelike parts by employing a combined dictionary consisting of wavelets and compactly supported shearlets utilizing the fact that they sparsely represent point and curvilinear singularities, respectively. Our methodology is based on the very recently introduced
Gitta Kutyniok, Wang-Q Lim
exaly +3 more sources
, 2014 The aim of this report is a self-contained overview on shearlets, a new multiscale method emerged in the last decade to overcome some of the limitation of traditional multiscale methods, like wavelets.
Bubba, Tatiana Alessandra
core +2 more sources
Compactly supported shearlets are optimally sparse
Journal of Approximation Theory, 2011 Cartoon-like images, i.e., C^2 functions which are smooth apart from a C^2 discontinuity curve, have by now become a standard model for measuring sparse (non-linear) approximation properties of directional representation systems. It was already shown that curvelets, contourlets, as well as shearlets do exhibit (almost) optimally sparse approximation ...
Gitta Kutyniok, Wang-Q Lim
exaly +4 more sources