Phase retrieval with only a nonnegativity constraint
Yaocheng Tian, James R. Fienup
Abstract
We show that it may be possible to reconstruct a real-valued, nonnegative 2D object from the magnitude of its Fourier transform using only a nonnegativity constraint without the usual support constraint, even when significant noise is present in the Fourier intensity data.
Topics & Concepts
Phase retrievalFourier transformConstraint (computer-aided design)OpticsPtychographyComputer scienceNoise (video)Phase (matter)Object (grammar)AlgorithmPhysicsMathematicsMathematical analysisImage (mathematics)Computer visionArtificial intelligenceDiffractionGeometryQuantum mechanicsAdvanced X-ray Imaging TechniquesX-ray Spectroscopy and Fluorescence AnalysisAdvanced Electron Microscopy Techniques and Applications