Results 1 to 10 of about 4,542 (232)
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
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 +5 more sources
Asymptotic Analysis of Inpainting via Universal Shearlet Systems [PDF]
SIAM J. Imaging Sci. 7.4 (2014), 2301-2339, 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 +5 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 lack of consistency with some prior knowledge about the object that is being imaged, subject to a (predetermined) level of consistency with the detected attenuation of x-rays ...
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
Digital Shearlet Transforms [PDF]
, 2012 Over the past years, various representation systems which sparsely approximate functions governed by anisotropic features such as edges in images have been proposed. We exemplarily mention the systems of contourlets, curvelets, and shearlets. Alongside the theoretical development of these systems, algorithmic realizations of the associated transforms ...
Gitta Kutyniok +2 more
openalex +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 +7 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 +6 more sources