• Acta Optica Sinica
  • Vol. 42, Issue 1, 0112006 (2022)
Yanli Hou, Hangang Liang, Fuqian Li, and Wenjing Chen*
Author Affiliations
  • College of Electronics and Information Engineering, Sichuan University, Chengdu, Sichuan 610065, China
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    DOI: 10.3788/AOS202242.0112006 Cite this Article Set citation alerts
    Yanli Hou, Hangang Liang, Fuqian Li, Wenjing Chen. Spatial-Temporal Combined Phase Unwrapping in Phase Measurement Profilometry[J]. Acta Optica Sinica, 2022, 42(1): 0112006 Copy Citation Text show less
    Fringe pattern and profile of a line in corresponding wrapped phase pattern. (a)--(c) fringe pattern; (d)--(f) profile of a line in wrapped phase pattern
    Fig. 1. Fringe pattern and profile of a line in corresponding wrapped phase pattern. (a)--(c) fringe pattern; (d)--(f) profile of a line in wrapped phase pattern
    Object to be measured in computer simulation
    Fig. 2. Object to be measured in computer simulation
    Deformed fringe patterns without noise. (a)--(c) Deformed fringe patterns obtained by traditional three-frequency temporal phase unwrapping method when t=1,8,64; (d)--(f) deformed fringe patterns obtained by proposed method when t=4,16,64; (g)--(i) deformed fringe patterns obtained by proposed method when t=16,32,64
    Fig. 3. Deformed fringe patterns without noise. (a)--(c) Deformed fringe patterns obtained by traditional three-frequency temporal phase unwrapping method when t=1,8,64; (d)--(f) deformed fringe patterns obtained by proposed method when t=4,16,64; (g)--(i) deformed fringe patterns obtained by proposed method when t=16,32,64
    Reconstruction results and reconstruction errors obtained by different methods in case of no noise. (a)(b) Traditional three-frequency temporal phase unwrapping method; (c)(d) proposed method with t=4,16,64; (e)(f) proposed method with t=16,32,64
    Fig. 4. Reconstruction results and reconstruction errors obtained by different methods in case of no noise. (a)(b) Traditional three-frequency temporal phase unwrapping method; (c)(d) proposed method with t=4,16,64; (e)(f) proposed method with t=16,32,64
    Deformed fringe patterns with noise. (a)--(c) Deformed fringe patterns obtained by traditional three-frequency temporal phase unwrapping method; (d)--(f) deformed fringe patterns obtained by proposed method with t=4,16,64
    Fig. 5. Deformed fringe patterns with noise. (a)--(c) Deformed fringe patterns obtained by traditional three-frequency temporal phase unwrapping method; (d)--(f) deformed fringe patterns obtained by proposed method with t=4,16,64
    Reconstruction results and reconstruction errors obtained by different methods in case of noise. (a)(b) Traditional three-frequency temporal phase unwrapping method; (c)(d) proposed method with t=4,16,64
    Fig. 6. Reconstruction results and reconstruction errors obtained by different methods in case of noise. (a)(b) Traditional three-frequency temporal phase unwrapping method; (c)(d) proposed method with t=4,16,64
    Standard deviation distribution of reconstruction errors of two methods under different noises
    Fig. 7. Standard deviation distribution of reconstruction errors of two methods under different noises
    Deformed fringe patterns obtained by different methods. (a)--(c) Traditional three-frequency temporal phase unwrapping method; (d)--(f) proposed method
    Fig. 8. Deformed fringe patterns obtained by different methods. (a)--(c) Traditional three-frequency temporal phase unwrapping method; (d)--(f) proposed method
    Reconstruction results obtained by different methods. (a) Traditional three-frequency temporal phase unwrapping method; (b) proposed method; (c) local magnification of Fig. 9(a); (d) local magnification of Fig. 9(b)
    Fig. 9. Reconstruction results obtained by different methods. (a) Traditional three-frequency temporal phase unwrapping method; (b) proposed method; (c) local magnification of Fig. 9(a); (d) local magnification of Fig. 9(b)
    MethodStandard deviationMaximum errorMinimum error
    Traditional three-frequency temporal phase unwrapping method0.5849111.6744-110.6744
    Proposed method0.25711.1099-1.2044
    Table 1. Errors of reconstruction resultsunit:mm
    Yanli Hou, Hangang Liang, Fuqian Li, Wenjing Chen. Spatial-Temporal Combined Phase Unwrapping in Phase Measurement Profilometry[J]. Acta Optica Sinica, 2022, 42(1): 0112006
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