Shearlets as Multi-scale Radon Transforms

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type , Conference object 01 Jul 2017 Italy English Publisher:Springer Science and Business Media LLCJournal:Sampling Theory in Signal and Image Processing, volume 17, pages 1-15 (issn: 1530-6429,

Copyright policy )

Authors: BARTOLUCCI, FRANCESCA; De Mari, Filippo; De Vito, Ernesto; Odone, Francesca;

doi: 10.1007/bf03549609 , 10.1109/sampta.2017.8024400

handle: 11567/885723

Shearlets as Multi-scale Radon Transforms

- Summary
- Subjects
- Metrics

Abstract

It is shown that the 2D-shearlet transform is the composition of the affine Radon transform, a 1D-wavelet transform and a 1D-convolution. This is applied to give an alternative proof of the fact that the shearlet transform is able to resolve the wavefront set associated with the unit disc.

Country

Italy

Related Organizations

University of Genoa
Italy

Keywords

shearlets, Signal Processing; Statistics, Probability and Uncertainty; Analysis; Statistics and Probability; Applied Mathematics, Nontrigonometric harmonic analysis involving wavelets and other special systems, wavelets, Radon transform

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average