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Sparse Regularization Based on Orthogonal Tensor Dictionary Learning for Inverse Problems
Mathematical Problems in Engineering, Volume 2024, Issue 1, 2024.In seismic data processing, data recovery including reconstruction of the missing trace and removal of noise from the recorded data are the key steps in improving the signal‐to‐noise ratio (SNR). The reconstruction of seismic data and removal of noise becomes a sparse optimization problem that can be solved by using sparse regularization.
Diriba Gemechu, Francisco Rossomando
wiley +1 more source
Different Faces of the Shearlet Group [PDF]
The Journal of Geometric Analysis, 2015 Recently, shearlet groups have received much attention in connection with shearlet transforms applied for orientation sensitive image analysis and restoration. The square integrable representations of the shearlet groups provide not only the basis for the shearlet transforms but also for a very natural definition of scales of smoothness spaces, called ...
Dahlke, Stephan +5 more
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A Novel HDR Image Zero-Watermarking Based on Shift-Invariant Shearlet Transform [PDF]
, 2021 Shanshan Shi +3 more
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Iterative CT reconstruction based on ADMM using shearlet sparse regularization
, 2022 Dayu Xiao +4 more
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Shearlets and Microlocal Analysis [PDF]
, 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-
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Image Processing Using Shearlets [PDF]
, 2012 Since shearlets provide nearly optimally sparse representations for a large class of functions that are useful to model natural images, many image processing methods benefit from their use. In particular, the error rates of data estimation from noise are highly dependent on the sparsity properties of the representation, so that many successful ...
Glenn R. Easley, Demetrio Labate
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Bendlet Transform Based Adaptive Denoising Method for Microsection Images. [PDF]
Entropy (Basel), 2022 Mei S +5 more
europepmc +1 more source
Noise reduction by adaptive-SIN filtering for retinal OCT images. [PDF]
Sci Rep, 2021 Hu Y, Ren J, Yang J, Bai R, Liu J.
europepmc +1 more source
Automated Diagnosis and Assessment of Cardiac Structural Alteration in Hypertension Ultrasound Images. [PDF]
Contrast Media Mol Imaging, 2022 Raghavendra U +11 more
europepmc +1 more source
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 ...
Kutyniok, Gitta, Lim, Wang-Q
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