Reconstruction of an object from its symmetry-averaged diffraction pattern

2005/05/25 by Veit Elser, Elser, Veit · 1 citation
Physics and Astronomy · #Advanced X-ray Imaging Techniques #Crystallography and Radiation Phenomena #Data Analysis #FOS: Physical sciences #Statistics and Probability (physics.data-an) #physics.data-an

paper · pdf · doi:10.48550/arxiv.physics/0505174

9 pages, 4 figures

arxiv created 2005/05/25 · openalex publication_date 2005/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By suitably generalizing the Fourier constraint projection in the difference map phasing algorithm, an object can be reconstructed from its diffraction pattern even when the latter has been incoherently averaged over a discrete group of symmetries. This resolves an ambiguity in the recent proposal for aligning molecules by means of their anisotropic dielectric interaction with an intense light field. The algorithm is demonstrated with simulated data in two and three dimensions.

Cited by

• Dichography: Two-frame Ultrafast Imaging from a Single Diffraction Pattern

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