Multiple solution in maximum entropy deconvolution of high resolution electron microscope images

The origin of multiple solution in maximum entropy image deconvolution has been analyzed for simple crystal structures. It is illustrated that the entropy-defocus curves contain two kinds of peaks. The sharp peaks originate in the loss of at least one diffracted beam due to the defined threshold for contrast transfer function. There are several smooth peaks, and the deconvoluted images corresponding to these peaks are closely related to one another. It is illustrated how to select the correct solution from among all deconvoluted images.