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Statistical mechanics approach to the phase unwrapping problem

Author

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  • Stramaglia, Sebastiano
  • Refice, Alberto
  • Guerriero, Luciano

Abstract

The use of mean-field theory to unwrap principal phase patterns has been recently proposed. In this paper we generalize the mean-field approach to process phase patterns with arbitrary degree of undersampling. The phase unwrapping problem is formulated as that of finding the ground state of a locally constrained, finite size, spin-L Ising model under a non-uniform magnetic field. The optimization problem is solved by the mean-field annealing technique. Synthetic experiments show the effectiveness of the proposed algorithm.

Suggested Citation

  • Stramaglia, Sebastiano & Refice, Alberto & Guerriero, Luciano, 2000. "Statistical mechanics approach to the phase unwrapping problem," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 276(3), pages 521-534.
    • Handle: RePEc:eee:phsmap:v:276:y:2000:i:3:p:521-534
    DOI: 10.1016/S0378-4371(99)00462-8
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    Cited by:

    1. Kiwata, Hirohito, 2012. "Physical consideration of an image in image restoration using Bayes’ formula," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(6), pages 2215-2224.

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