We present a fast image reconstruction method for two- and three-dimensional diffraction imaging. Provided that very little information about the phase is available, the method demonstrates convergence rates that are several orders of magnitude faster than current reconstruction techniques. Unlike current methods, our approach is based on convex optimization. Besides fast convergence, our method allows great deal of flexibility in choosing most appropriate objective function as well as introducing additional information about the sought signal, e.g., smoothness. Benefits of good choice of the objective function are demonstrated by reconstructing an image from noisy data. © 2009 Springer-Verlag.
CITATION STYLE
Osherovich, E., Zibulevsky, M., & Yavneh, I. (2009). Fast reconstruction method for diffraction imaging. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5876 LNCS, pp. 1063–1072). https://doi.org/10.1007/978-3-642-10520-3_102
Mendeley helps you to discover research relevant for your work.