1. A method for imaging a microscopic object with improved resolution comprising: measuring with an interferometer or microscope a complex wavefield scattered by the microscopic object, the complex wavefield being represented by phase and amplitude or by real and imaginary parts; and computing an image of the microscopic object with a resolution better than given by the Abbe diffraction limit, including deconvolving the complex wavefield scattered by the microscopic object with a complex coherent transfer function (CTF) applied to the complex wavefield.