Shearlet

Geometric effects of parabolic scaling and shearing with several parameters a and s.

The construction of continuous shearlet systems is based on parabolic scaling matrices

and the corresponding continuous shearlet transform is given by the map

To deal with this problem, the frequency domain is divided into a low-frequency part and two conic regions (see Figure):

Frequency tiling of the cone-adapted shearlet system generated by the classical shearlet.