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

doi:10.1088/1674-1056/21/9/094203

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.

Keywords: phase reconstruction optical three-dimensional shape measurement measurement precision

Received: 30 January 2012
Revised: 20 February 2012
Accepted manuscript online:

PACS:	42.30.-d	(Imaging and optical processing)
	42.30.Kq	(Fourier optics)
	42.30.Rx	(Phase retrieval)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 61144006).

Corresponding Authors: Qiao Nao-Sheng
E-mail: 190138413@qq.com

Cite this article:

Qiao Nao-Sheng (乔闹生), He Zhi (贺志) A method for phase reconstruction in the optical three-dimensional shape measurement 2012 Chin. Phys. B 21 094203

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