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Shearlets and Optimally Sparse Approximations [PDF]

open access: yes, 2011
Multivariate functions are typically governed by anisotropic features such as edges in images or shock fronts in solutions of transport-dominated equations.
DL Donoho   +12 more
core   +3 more sources

Image Quality Assessment by Considering Multiscale and Multidirectional Visibility Differences in Shearlet Domain [PDF]

open access: goldIEEE Access, 2019
Conventional objective image assessment metrics, such as mean squared error and peak signal-to-noise ratio, which only calculates pixel-based differences between the original and the degraded images, are not in agreement with the human vision.
Wu Dong, Hongxia Bie, Likun Lu, Yeli Li
doaj   +2 more sources

Digital Shearlet Transforms [PDF]

open access: green, 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

Texture features in the Shearlet domain for histopathological image classification [PDF]

open access: yesBMC Medical Informatics and Decision Making, 2020
Background A various number of imaging modalities are available (e.g., magnetic resonance, x-ray, ultrasound, and biopsy) where each modality can reveal different structural aspects of tissues.
Sadiq Alinsaif, Jochen Lang
doaj   +2 more sources

Shearlets and Microlocal Analysis [PDF]

open access: green, 2012
Although wavelets are optimal for describing pointwise smoothness properties of univariate functions, they fail to efficiently characterize the subtle geometric phenomena of multidimensional singularities in high-dimensional functions. Mathematically these phenomena can be captured by the notion of the wavefront set which describes point- and direction-
Philipp Grohs
openalex   +4 more sources

A Breast Cancer Image Classification Algorithm with 2c Multiclass Support Vector Machine. [PDF]

open access: yesJ Healthc Eng, 2023
Breast cancer is the most frequent type of cancer in women; however, early identification has reduced the mortality rate associated with the condition. Studies have demonstrated that the earlier this sickness is detected by mammography, the lower the death rate.
Wajeed MA   +6 more
europepmc   +2 more sources

Gabor shearlets [PDF]

open access: yesApplied 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
openaire   +6 more sources

A Comparative Study of Shearlet, Wavelet, Laplacian Pyramid, Curvelet, and Contourlet Transform to Defect Detection [PDF]

open access: yesJournal 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
doaj   +1 more source

Adaptive filter method in Bendlet domain for biological slice images

open access: yesMathematical Biosciences and Engineering, 2023
The biological cross-sectional images majorly consist of closed-loop structures, which are suitable to be represented by the second-order shearlet system with curvature (Bendlet).
Yafei Liu   +3 more
doaj   +1 more source

Computerized tomography with total variation and with shearlets [PDF]

open access: greenInverse 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
openalex   +5 more sources

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