Advanced Search

ISSN1001-3806 CN51-1125/TN Map

Volume 30 Issue 6
Sep.  2013
Article Contents
Turn off MathJax

Citation:

Weighted minimum cost flow phase unwrapping algorithm based on second difference

  • Received Date: 2005-11-04
    Accepted Date: 2006-03-14
  • Phase unwrapping is an important step for precise phase measurement in optical interferometric techniques.Due to the effect of noise and undersampled region,an accurate phase unwrapping has been quite difficult.A new phase unwrapping algorithm based on phase second difference and minimum cost flow algorithm is presented.Computer simulation shows:it can avoid local incomplete unwrapping problem that interlaced cuts produce closed regions in branch cut algorithm and reduce the errors caused by least square unwrapping algorithm.Comparing with the unweighted minimum cost flow algorithm,it also improves the phase unwrapping precision.The phase unwrapping result on real data in 3-D shape measurement verifies the validity of the algorithm.
  • 加载中
  • [1]

    BERND G,HERBERT W.Phase unwrapping with the branch-cut method:role of phase-field direction[J].Appl Opt,2000,39 (26):4802~4816.
    [2]

    ZHANG L,LIU S N,LIN D Y et al.The progress of extracting phase information based on spatial carrier fringe pattern analysis[J].Laser Technology,2005,29 (1):90~93 (in Chinese).
    [3]

    GHIGLIA D C,ROMERO L A.Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods[J].J O S A,1994,A11(1):107~117.
    [4]

    COSTANTINI M.A novel phase unwrapping method based on network programming[J].IEEE Transactions on Geoscience and Remote Sensing,1998,36 (3):813~821.
    [5]

    FLYNN T J.Two-dimensional phase unwrapping with minimum weighted discontinuity[J].J O S A,1997,A14(10):2692~2701.
    [6]

    CHEN C W,ZEBKER H A.Network approaches to two-dimensonal phase unwrapping:intⅡ ractability and two new algorithms[J].J O S A,2000,A17(3):401~414.
    [7]

    HUBIG M,SUCHANDT S,ADAM N.A class of solution-invariant transformations of cost functions for minimum cost flow phase unwrapping[J].J O S A,2004,A21 (10):1975~1987.
    [8]

    CHEN C W,ZEBKER H A.Two-dimensional phase unwrapping with use of statistical models for cost functions in nonlinear optimization[J].J O S A,2001,A18(2):338~351.
    [9]

    BONE D J.Fourier fringe analysis:the two-dimensional phase unwrapping problem[J].Appl Opt,1991,30(25):3627~3632.
    [10]

    QUIROGA J A,GONZALEZ-CANO A,BERNABEU E.Phase unwrapping algorithm based on adaptive criterion[J].Appl Opt,1995,34 (14):2560~2563.
    [11]

    MARROQUIN J L,RIVERA M.Quadratic regularization functionals for phase unwrapping[J].J O S A,1995,A12 (11):2393~2400.
  • 加载中
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Article views(2771) PDF downloads(318) Cited by()

Proportional views

Weighted minimum cost flow phase unwrapping algorithm based on second difference

  • 1. Faculty of Science, Jiujiang University, Jiujiang 332005, China;
  • 2. School for Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510631, China

Abstract: Phase unwrapping is an important step for precise phase measurement in optical interferometric techniques.Due to the effect of noise and undersampled region,an accurate phase unwrapping has been quite difficult.A new phase unwrapping algorithm based on phase second difference and minimum cost flow algorithm is presented.Computer simulation shows:it can avoid local incomplete unwrapping problem that interlaced cuts produce closed regions in branch cut algorithm and reduce the errors caused by least square unwrapping algorithm.Comparing with the unweighted minimum cost flow algorithm,it also improves the phase unwrapping precision.The phase unwrapping result on real data in 3-D shape measurement verifies the validity of the algorithm.

Reference (11)

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return