The Method Research Based On PDE Of Removing The Aliasing Of Airborne Geophysical Grided Data

This paper is mainly doing a study on the method of removing the aliasing of airborne magnetic data caused by interpolating and gridding.Geophysical data are frequently collected with a fine sample interval along traverse lines but with a coarser sampling in the direction perpendicular to the traverses. This disparity in sampling intervals is particularly evident when magnetic data are collected simultaneously with airborne electromagnetic data. Interpolating this traverse data onto an evenly spaced 2D grid can result in aliasing artifacts.From the perspective of image processing,this paper make a studying and trying of applying the anisotropic diffusion method to the aliasing data to remove the artifacts.The mainly work and achievement are as follows:1,Making a trying of applying the Mean Filter,Median Filter and Gaussian Filter to the aliasing data , detailedly analyzing the pocessed results and getting the limitation of these methods applied to the aliasing data;2,Deeply studying the theory of anisotropic diffusion, strictly deriving the formula and detailedly analyzing each model of the anisotropic difffusion.Based on these work,this paper analyzes several important parameters appearing in the anisotropic diffusion models , gets the criteria of these parameters be selected and draws further conclusions on metamorphosis relations among Mean Filter,Median Filter,Gaussian Filter,isoptropic diffusion and anisotropic diffusion model in image processing;3,This paper modifies the anisotropic diffusion model to constrain values close to the original traverses. This modification removes the aliasing artifacts and produces a data grid faithful to the original traverse data.and improves accuracy of the processe.