Fast Convergence of the Two Dimensional Discrete Shearlet Transform

Abstract

The 2D discrete shearlet transform for a given function f in L2(R2) has been defined through dilation, shear and translation parameters in such a way that the continuity of f at (0, 0) can be studied by means of the convergence of the discrete shearlet transformas the dilation parameter converges to zero. Computer experiments illustrate this property by detecting edges in images that correspond to discontinuities.