Ab initio compressive phase retrieval

Details Ab initio compressive phase retrieval Ab initio compressive phase retrieval

2008-09-11

arxiv.org/abs/0809.2006v1

Physics

Optics

7 pages, 4 figures, presented at the XXI IUCr Congress, Aug. 2008, Osaka Japan

Scientific paper

Any object on earth has two fundamental properties: it is finite, and it is made of atoms. Structural information about an object can be obtained from diffraction amplitude measurements that account for either one of these traits. Nyquist-sampling of the Fourier amplitudes is sufficient to image single particles of finite size at any resolution. Atomic resolution data is routinely used to image molecules replicated in a crystal structure. Here we report an algorithm that requires neither information, but uses the fact that an image of a natural object is compressible. Intended applications include tomographic diffractive imaging, crystallography, powder diffraction, small angle x-ray scattering and random Fourier amplitude measurements.

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