Wavelet Decomposition and Alpha Stable Fusion

Abstract

This article gives a new method of fusing multifocal images combining the Laplacian pyramid and the wavelet decomposition using the stable distance alpha as a selection rule. We start by decomposing multifocal images into several pyramid levels, then applying the wavelet decomposition to each level. the originality of this work is to use the stable distance alpha to fuse the wavelet images at each level of the Pyramid. To obtain the final fused image, we reconstructed the combined image at each level of the pyramid. We compare our method to other existing methods in the literature and we deduce that it is almost better.

Dempster-Shafer and Alpha Stable Distance for Multi-Focus Image Fusion

“…This distance was introduced at the time of the discovery of stable alpha stochastic variables and processes [29], [30]. Several works have shown that working in a stable alpha space can improve the estimation and visibility of certain phenomena whose variability increases significantly [31]- [33]. The alpha-stable distribution is widely used in the processing of impulsive or spiky signals.…”

Aliasing-Free and Additive Error in Mixed Spectra for Stable Processes. Application: Sound of a Bird just Captivated in Stress

“…doi: 10.18178/ijsps.10.4. [18][19][20][21][22][23][24] known that aliasing phenomenon occurs. For more details about aliasing phenomenon, see [28].…”