Title :
A fast algorithm for bidimensional EMD
Author :
Damerval, Christophe ; Meignen, Sylvain ; Perrier, Valérie
Author_Institution :
LMC-IMAG Lab., Univ. of Grenoble, France
Abstract :
In this letter, we describe a new method for bidimensional empirical mode decomposition (EMD). This decomposition is based on Delaunay triangulation and on piecewise cubic polynomial interpolation. Particular attention is devoted to boundary conditions that are crucial for the feasibility of the bidimensional EMD. The study of the behavior of the decomposition on a different kind of image shows its efficiency in terms of computational cost, and the decomposition of Gaussian white noises leads to bidimensional selective filter banks.
Keywords :
Gaussian noise; channel bank filters; fast Fourier transforms; image representation; image texture; interpolation; mesh generation; piecewise polynomial techniques; white noise; Delaunay triangulation; Gaussian white noise; bidimensional EMD; bidimensional selective filter bank; empirical mode decomposition; fast algorithm; image texture; piecewise cubic polynomial interpolation; Boundary conditions; Computational efficiency; Filter bank; Interpolation; Iterative methods; Polynomials; Signal analysis; Signal denoising; Signal processing algorithms; White noise; Delaunay triangulation; empirical mode decomposition (EMD);
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2005.855548
