Iterative least-squares reconstruction of the Fourier phase of an image from the modulo-2pi phase of its bispectrum

A. Tanju Erdem; M. Ibrahim Sezan

doi:10.1117/12.130950

30 November 1992 Iterative least-squares reconstruction of the Fourier phase of an image from the modulo-2π phase of its bispectrum

A. Tanju Erdem, M. Ibrahim Sezan

Author Affiliations +

Proceedings Volume 1770, Advanced Signal Processing Algorithms, Architectures, and Implementations III; (1992) https://doi.org/10.1117/12.130950
Event: San Diego '92, 1992, San Diego, CA, United States

Abstract

We propose a novel technique for the least-squares reconstruction of the Fourier phase of an image from the modulo-2(pi) phase of its bispectrum. The proposed technique unwraps the given bispectral phase and reconstructs the Fourier phase of the image iteratively through alternating projections onto two particular constraint sets: (1) the set of bispectral phase functions that differ from the given modulo-2(pi) bispectral phase by only integral multiples of 2(pi) at every sample point, and (2) the set of bispectral phase functions that correspond to deterministic signals. We formally define the above sets and their corresponding projection operators. We describe the iterative algorithm in detail, and provide experimental results to demonstrate its performance.

Citation Download Citation

A. Tanju Erdem and M. Ibrahim Sezan "Iterative least-squares reconstruction of the Fourier phase of an image from the modulo-2π phase of its bispectrum", Proc. SPIE 1770, Advanced Signal Processing Algorithms, Architectures, and Implementations III, (30 November 1992); https://doi.org/10.1117/12.130950

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available