A new algorithm based on wavelet theory for diffraction tomography

Abstract

The reconstruction algorithms based on microwave diffraction tomography have been developed to visualize multidimensional cross-section of an object. A wavelet based approach is discussed for the solution of microwave diffraction tomography problem. The matrix equation is described in the wavelet domain. The major advantages of this solution is that the wavelet transform can usefully be severely truncated, that is, turned into sparse expansions. The use of sparse matrix techniques leads to considerable reduction in computation time and data.