Detection of singularities by discrete multiscale directional representations

DOI10.1007/s12220-017-9897-xzbMath1440.42152OpenAlexW2734984464MaRDI QIDQ1710249

Kanghui Guo, Demetrio Labate

Publication date: 16 January 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-017-9897-x

zbMATH Keywords

waveletsedge detectioncontinuous waveletscurveletsshearletsanalysis of singularities

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15)

Related Items (6)

Microlocal analysis and characterization of Sobolev wavefront sets using shearlets ⋮ Analysis of directional higher order jump discontinuities with trigonometric shearlets ⋮ Direction sensitive analysis of higher order jump discontinuities along circles on the sphere ⋮ Edge detection with trigonometric polynomial shearlets ⋮ Optimally sparse representations of cartoon-like cylindrical data ⋮ Image inpainting using sparse multiscale representations: image recovery performance guarantees

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Democracy of shearlet frames with applications
• Characterization of piecewise-smooth surfaces using the 3D continuous shearlet transform
• Classification of edges using compactly supported shearlets
• Analysis and detection of surface discontinuities using the 3D continuous shearlet transform
• Compactly supported shearlets are optimally sparse
• Continuous shearlet frames and resolution of the wavefront set
• Shearlets. Multiscale analysis for multivariate data.
• Geometric separation of singularities using combined multiscale dictionaries
• Pointwise smoothness, two-microlocalization and wavelet coefficients
• Continuous curvelet transform. I: Resolution of the wavefront set
• Optimally Sparse Representations of 3D Data with $C^2$ Surface Singularities Using Parseval Frames of Shearlets
• Characterization and Analysis of Edges Using the Continuous Shearlet Transform
• Resolution of the wavefront set using continuous shearlets
• New tight frames of curvelets and optimal representations of objects with piecewise C² singularities
• Edges and Corners With Shearlets
• Microlocal Analysis of the Geometric Separation Problem
• The Construction of Smooth Parseval Frames of Shearlets
• A Shearlet Approach to Edge Analysis and Detection
• Optimally Sparse Multidimensional Representation Using Shearlets
• Wavelet methods for pointwise regularity and local oscillations of functions

This page was built for publication: Detection of singularities by discrete multiscale directional representations