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Original Articles

Performance Evaluation of Phase Unwrapping Algorithms for Noisy Phase Measurements

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REFERENCES

  • Chavez , S. ; Xiang , Q-S. ; An , L. Understanding phase maps in MRI: a new cutline phase unwrapping method . Medical Imaging - IEEE Trans. 2002 , 21 , 966 – 977 .
  • Heshmat , S. ; Tomioka , S. ; Nishiyama , S. Phase extraction and unwrapping using rotational and direct compensators for digital hologram . Opt. Eng. 2013 , 52 , 101910-1–101910-8 .
  • Heshmat , S. ; Tomioka , S. ; Nishiyama , S. Phase unwrapping algorithm based on singularity compensation for three-dimensional shape measurement . Opt. Rev. 2012 , 19 , 444 – 450 .
  • Zhao , M. ; Huang , L. ; Zhang , Q. ; Su , X. ; Asundi , A. ; Kemao , Q. Quality-guided phase unwrapping technique: comparison of quality maps and guiding strategies . Appl. Opt. 2011 , 50 , 6214 – 6224 .
  • Ito , K. Analysis of the phase unwrapping algorithm . Appl. Opt. 1982 , 21 , 2470 .
  • Goldstein , R.M. ; Zebker , H.A. ; Werner , C.L. Satellite radar interferometry: two-dimensional phase unwrapping . J. Radio Sci. 1988 , 23 , 713 – 720 .
  • Judge , T.R. ; Bryanston-Cross , P.J. A review of phase unwrapping techniques in fringe . Opt. Lasers Eng. 1994 , 21 , 199 – 239 .
  • Buckland , J.R. ; Huntley , J.M. ; Turner , S.R.E. Unwrapping noisy phase maps by use of a minimum-cost-matching algorithm . Appl. Opt. 1995 , 34 , 5100 – 5108 .
  • Cusack , R. ; Huntley , J.M. ; Goldrein , H.T. Improved noise-immune phase-unwrapping algorithm . Appl. Opt. 1995 , 34 , 781 – 789 .
  • Flynn , J.T. Two-dimensional phase unwrapping with minimum weighted discontinuity . Opt. Soc. Am. A 1997 , 14 , 2692 – 2701 .
  • Gutmann , B. ; Weber , H. Phase unwrapping with the branch-cut method: clustering of discontinuity sources and reverse simulated annealing . Appl. Opt. 1999 , 38 , 5577 – 5593 .
  • Herráez , M. ; Burton , D. ; Lalor , M. ; Gdeisat , M. Fast two-dimensional phase unwrapping algorithm based on sorting by reliability following a non-continuous path . Appl. Opt. 2002 , 41 , 7437 – 7444 .
  • Karout , S.A. ; Gdeisat , M.A. ; Burton , D.R. ; Lalor , M.J. Two-dimensional phase unwrapping using a hybrid genetic algorithm . Appl. Opt. 2007 , 46 , 730 – 743 .
  • Hunt , B.R. Matrix formulation of the reconstruction of phase values from phase differences . Opt. Soc. Am. 1979 , 69 , 393 – 399 .
  • Takajo , H. ; Takahashi , T. Least-squares phase estimation from the phase difference . Opt. Soc. Am. A 1988 , 5 , 416 – 425 .
  • Ghiglia , D.C. ; Romero , L.A. Direct phase estimation from phase differences using fast elliptic partial differential equation solvers . Opt. Lett. 1989 , 14 , 1107 – 1109 .
  • Ghiglia , D.C. ; Romero , L.A. Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods . Opt. Soc. Am. A 1994 , 11 , 107 – 117 .
  • Aoki , T. ; Sotomaru , T. ; Ozawa , T. ; Komiyama , T. ; Miyamoto , Y. ; Takeda , M. Two-dimensional phase unwrapping by direct elimination of rotational vector fields from phase gradients obtained by heterodyne techniques . Opt. Rev. 1998 , 5 , 374 – 379 .
  • Yamaki , R. ; Hirose , A. Singularity-spreading phase unwrapping . IEEE Trans. Geosci 2007 , 45 , 3240 – 3251 .
  • Tomioka , S. ; Heshmat , S. ; Miyamoto , N. ; Nishiyama , S. Phase unwrapping for noisy phase maps using rotational compensator with virtual singular points . Appl. Opt. 2010 , 49 , 4735 – 4745 .
  • Tomioka , S. ; Nishiyama , S. Phase unwrapping for noisy phase map using localized compensator. Appl. Opt. 2012, 51, 4984–4994.
  • Heshmat , S. ; Tomioka , S. ; Nishiyama , S. Reliable phase unwrapping algorithm based on rotational and direct compensators . Appl. Opt. 2011 , 50 , 6225 – 6233 .
  • Takeda , M. ; Ina , H. ; Kobayashi , S. Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry . Opt. Soc. Am. 1982 , 72 , 156 – 160 .
  • Perry , K.E. ; McKelvie , J. A comparison of phase shifting; & Fourier methods in the analysis of discontinuous fringe patterns . Opt. Lasers Eng. 1993 , 19 , 269 – 284 .
  • Cuche , E. ; Marquet , P. ; Depeursinge , C. Spatial filtering for zero-order and twin-image elimination in digital off-axis holography . Appl. Opt. 2000 , 39 , 4070 – 4075 .
  • Chen , F. ; Brown , G.M. ; Song , M. Overview of three-dimensional shape measurement using optical methods . Opt. Eng. 2000 , 39 , 10 – 22 .

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