Fast Convergence of the Two Dimensional Discrete Shearlet Transform

Authors

  • Jaime Navarro Fuentes Universidad Autónoma Metropolitana, Azcapotzalco, Departamento de Ciencias Básicas
  • Oscar Herrera Alcántara Universidad Autónoma Metropolitana, Departamento de Sistemas

DOI:

https://doi.org/10.13053/cys-24-2-3372

Keywords:

Shearlets, tight frames, continuity, image processing

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.

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Published

2020-06-23

Issue

Vol. 24 No. 2 (2020): Thematic Issue on Language & Knowledge Engineering (Guest editors: D. Pinto, B. Beltrán, A. Vázquez)

Section

Articles of the Thematic Issue

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