Shearlab.jl

Installation

To install Shearlab.jl from within Julia do

julia> Pkg.clone("Shearlab")

Description

Shearlab is a Julia Library with toolbox for two- and threedimensional data processing using the Shearlet system as basis functions which generates an sparse representation of cartoon-like functions. It is based in the Matlab Library Shearlab3D, developed by the Applied Functional Analysis Research Group in the Technical University of Berlin lead by Professor Gita Kutyniok, for further information of the Matlab Implementation you can visit the link Shearlab3D.

The Julia implementation has visible efficiency improvements which can be seen in the carpet Benchmarks, and some examples in Benchmarks.

For the 2D version one has three important functions:

• Generate the Shearlet System.

  SLgetShearletSystem2D(rows,cols,nScales,shearLevels,full= 0,directionalFilter, quadratureMirrorFilter) 
  

• Decoding of a signal X.

  SLsheardec2D(X,shearletSystem) 
  

• Reconstruction of a signal X.

  SLshearrec2D(coeffs,shearletSystem)