3D reconstructions from spherically averaged Fourier transform magnitude and solution x-ray scattering experiments

Youngha Hwang; Peter C. Doerschuk

doi:10.1117/12.659446

2 February 2006 3D reconstructions from spherically averaged Fourier transform magnitude and solution x-ray scattering experiments

Youngha Hwang, Peter C. Doerschuk

Author Affiliations +

Proceedings Volume 6065, Computational Imaging IV; 60650G (2006) https://doi.org/10.1117/12.659446
Event: Electronic Imaging 2006, 2006, San Jose, California, United States

Abstract

Measuring the scattering of a beam of x-rays off a solution of identical particles gives data that is the spherically averaged magnitude of the Fourier transform of the electron number density in the particle. Although the 1-D data provides only limited information for a 3-D reconstruction of the particle, this approach is still attractive because it does not require that the particle be crystallized for x-ray crystallography or frozen for cryo electron microscopy. We describe ongoing work using two mathematical models of the particle, a piecewise constant model and an orthonormal expansion model, and a variety of specialized optimization tools to determine the 3-D reconstruction of the particle from a weighted nonlinear least squares problem.

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Youngha Hwang and Peter C. Doerschuk "3D reconstructions from spherically averaged Fourier transform magnitude and solution x-ray scattering experiments", Proc. SPIE 6065, Computational Imaging IV, 60650G (2 February 2006); https://doi.org/10.1117/12.659446

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