Multiresolution image analysis using dual Fresnel transform pairs and application to medical image denoising

A new multiresolution image analysis and image processing technique which split the band in the Fresnel transform signal domain has been proposed. There are two methods to solve the Fresnel integral equation. Applying two different Fresnel transform methods in invert direction to an image sequentially with an adequate distance parameter, a down-scaled image can be produced representing a multiresolution image. In this paper, denoising of medical images are performed as an example of application to image processing. The results show that the proposed technique has advantages compared to the wavelet based method and adaptive nonlinear filtering.