Study of Bidimensional Empirical Mode Decomposition Method for Various Radial Basis Function Surface Interpolators

Scattered data interpolation is an essential part of bidimensional empirical mode decomposition (BEMD) of an image. In the decomposition process, local maxima and minima of the image are extracted at each iteration and then interpolated to form the upper and lower envelopes, respectively. Because of the properties of radial basis function (RBF) interpolators, they are good candidates for use in BEMD. However, only one or two of the RBF interpolators have been utilized for BEMD so far. This paper employs seven RBF interpolators for BEMD, compares their performances, and finds out the useful ones for BEMD. The analysis is done using synthetic and real texture images. Simulations are made to focus mainly on the effect of interpolation methods by providing less or negligible control on the other parameters of the BEMD process. The study is believed to work as a guideline in the area of BEMD based image analysis.