Object Estimation From Limited Fourier Magnitude Samples

H. M. Berenyi; C. L. Byrne; M. A. Fiddy

doi:10.1117/12.941477

10 September 1987 Object Estimation From Limited Fourier Magnitude Samples

H. M. Berenyi, C. L. Byrne, M. A. Fiddy

Proceedings Volume 0808, Inverse Problems in Optics; (1987) https://doi.org/10.1117/12.941477
Event: Fourth International Symposium on Optical and Optoelectronic Applied Sciences and Engineering, 1987, The Hague, Netherlands

Abstract

The optical phase retrieval problem occurs in imaging, microscopy and several types of interferometry. This paper is concerned with retrieving an optimal estimate for the Fourier phase from a restricted number of noisy Fourier magnitude (or power spectrum) data samples. Of particular interest is the case when the direct Fourier transform of such limited data provides a poor object estimate even when the correct complex data are available. A method to achieve this is described based on the minimisation of a phase dependent cost function and the results of an approximate but sub-optimal iterative implementation are discussed.

Citation Download Citation

H. M. Berenyi, C. L. Byrne, and M. A. Fiddy "Object Estimation From Limited Fourier Magnitude Samples", Proc. SPIE 0808, Inverse Problems in Optics, (10 September 1987); https://doi.org/10.1117/12.941477

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