Results 11 to 20 of about 4,542 (232)

Analysis of directional higher order jump discontinuities with trigonometric shearlets [PDF]

arXiv, 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
semanticscholar   +4 more sources

Quaternionic shearlet transform [PDF]

Optik, 2018
Abstract The shearlet transform has been shown to be a valuable and powerful time–frequency analyzing tool for optics and non-stationary signal processing. In this article, we propose a novel transform called quaternionic shearlet transform which is designed to represent quaternion-valued signals at different scales, locations and orientations.
Azhar Y. Tantary, Firdous A. Shah
openaire   +3 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, Duval-Poo, Miguel A., Noceti, Nicoletta, Odone, Francesca   +3 more
core   +2 more sources

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-
Philipp Grohs
openalex   +4 more sources

Normalized group activations based feature extraction technique using heterogeneous data for Alzheimer’s disease classification [PDF]

PeerJ Computer Science
Several 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, Julian Benadit Pernabas, Latha Parthiban, Mamoon Rashid, Sultan S. Alshamrani, for the Alzheimer’s Disease Neuroimaging Initiative   +5 more
doaj   +3 more sources

Compactly Supported Shearlets are Optimally Sparse [PDF]

Journal of Approximation Theory, 2010
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.
Kutyniok, G., Lim, W.
core   +4 more sources

Shearlets and Optimally Sparse Approximations [PDF]

, 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, DL Donoho, EJ Candés, EM Stein, G Kutyniok, G Kutyniok, I Daubechies, K Guo, MA Pinsky, MN Do, P Kittipoom, RA DeVore, S Kuratsubo   +12 more
core   +3 more sources

The Shearlet Transform and Lizorkin Spaces [PDF]

arXiv, 2020
17
Nenad Teofanov, Stevan Pilipović, Francesca Bartolucci   +2 more
openaire   +4 more sources

Linearized Riesz transform and quasi-monogenic shearlets [PDF]

Int. J. Wavelets Multiresolution Inf. Process., 2014
The only quadrature operator of order two on L2(ℝ2) which covaries with orthogonal transforms, in particular rotations is (up to the sign) the Riesz transform. This property was used for the construction of monogenic wavelets and curvelets.
S. Häuser, Bettina Heise, Gabriele Steidl   +2 more
openalex   +2 more sources

A Shearlets-Based Method for Rain Removal from Single Images [PDF]

Applied Sciences, 2019
This work focuses on the problem of rain removal from a single image. The directional multilevel system, Shearlets, is used to describe the intrinsic directional and structure sparse priors of rain streaks and the background layer.
Guomin Sun, Jinsong Leng, Carlo Cattani
openalex   +2 more sources