中国物理B ›› 2012, Vol. 21 ›› Issue (9): 94203-094203.doi: 10.1088/1674-1056/21/9/094203

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

A method for phase reconstruction in the optical three-dimensional shape measurement

乔闹生, 贺志   

  1. School of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, China
  • 收稿日期:2012-01-30 修回日期:2012-02-20 出版日期:2012-08-01 发布日期:2012-08-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 61144006).

A method for phase reconstruction in the optical three-dimensional shape measurement

Qiao Nao-Sheng (乔闹生), He Zhi (贺志)   

  1. School of Physics and Electronics, Hunan University of Arts and Science, Changde 415000, China
  • Received:2012-01-30 Revised:2012-02-20 Online:2012-08-01 Published:2012-08-01
  • Contact: Qiao Nao-Sheng E-mail:190138413@qq.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 61144006).

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摘要： In the optical three-dimensional shape measurement, a method of improving the measurement precision for phase reconstruction without phase unwrapping is analyzed in detail. Intensities of any five consecutive pixels that lie in the x-axis direction of the phase domain are given. Partial derivatives of the phase function in the x- and y-axis directions are obtained with a phase-shifting mechanism, the origin of which is analysed. Furthermore, to avoid the phase unwrapping in the phase reconstruction, we derive the gradient of the phase function and perform a two-dimensional integral along the x- and y-axis directions. The reconstructed phase can be obtained directly by performing the numerical integration, and thus it is of great convenience for phase reconstruction. Finally, the results of numerical simulations and practical experiments verify the correctness of the proposed method.

关键词: phase reconstruction, optical three-dimensional shape measurement, measurement precision

Abstract: In the optical three-dimensional shape measurement, a method of improving the measurement precision for phase reconstruction without phase unwrapping is analyzed in detail. Intensities of any five consecutive pixels that lie in the x-axis direction of the phase domain are given. Partial derivatives of the phase function in the x- and y-axis directions are obtained with a phase-shifting mechanism, the origin of which is analysed. Furthermore, to avoid the phase unwrapping in the phase reconstruction, we derive the gradient of the phase function and perform a two-dimensional integral along the x- and y-axis directions. The reconstructed phase can be obtained directly by performing the numerical integration, and thus it is of great convenience for phase reconstruction. Finally, the results of numerical simulations and practical experiments verify the correctness of the proposed method.

Key words: phase reconstruction, optical three-dimensional shape measurement, measurement precision

中图分类号:  (Imaging and optical processing)

  • 42.30.-d
42.30.Kq (Fourier optics) 42.30.Rx (Phase retrieval)