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3-D image reconstruction from averaged Fourier transform magnitude by parameter estimation

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2 Author(s)
Yibin Zheng ; Sch. of Electr. & Comput. Eng., Purdue Univ., West Lafayette, IN, USA ; Doerschuk, P.C.

An object model and estimation procedure for three-dimensional (3-D) reconstruction of objects from measurements of the spherically averaged Fourier transform magnitudes is described. The motivating application is the 3-D reconstruction of viruses based on solution X-ray scattering data. The object model includes symmetry, positivity and support constraints and has the form of a truncated orthonormal expansion and the parameters are estimated by maximum likelihood methods. Successful 3-D reconstructions based on synthetic and experimental measurements from Cowpea mosaic virus are described

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Image Processing, IEEE Transactions on  (Volume:7 ,  Issue: 11 )