Improving the resolution of diffraction patterns from many low resolution recordings

Abstract

Holography attempts to record and reconstruct wave fields. The resolution limitation of the recording equipments causes some problems in the reconstruction process. An automatic method for the registration and stitching of low resolution diffraction patterns to form a higher resolution one is proposed. There is no prior knowledge about the 3D position of the object in the recordings and it is assumed that there is only one particle in the object field. The method uses Wigner transform, Canny edge detection and Hough transform to register the patterns, and some additional iterative methods depending on the local variance of the reconstructed patterns to stitch them. The performance of the overall system is evaluated against object radius, noise in the original pattern, recording noise and presence of multiple particles in the object field by computer simulations.