Image reconstruction with incomplete fourier-space magnitude data combined with real-space information

Image reconstruction is based on phase retrieval by combining incomplete Fourier-space magnitude data with real-space information. Phase retrieval is performed based on the Fourier-space magnitude data, where the real-space information is expressed in a form suitable to use as a phase retrieval constraint, preferably using a wavelet-space representation. The use of incomplete Fourier-space magnitude data advantageously reduces the amount of data required compared to approaches that need comprehensive Fourier-space magnitude data.