Improved differential 3D shape retrieval

Abstract Phase unwrapping is a complex step in three-dimensional (3D) surface measurement. To simplify the computation process, Martino et al. proposed a differential algorithm. However, it will result in large error when the orthogonal fringes are not in horizontal or vertical direction. To solve this problem, the relationship between projector׳s and camera׳s coordinate systems is introduced. With the data obtained from coordinate transformation, the improved differential algorithm can be used for orthogonal fringes in any direction. Besides that, taking advantage of Fourier differentiation theorem makes operation and calculation simpler. By contrast, the results of experiments show that the proposed method is applicable to the patterns with orthogonal fringes in every direction. In addition, Fourier differentiation theorem effectively increases the speed of differential process.

[1]  Yajun Wang,et al.  Optimal fringe angle selection for digital fringe projection technique. , 2013, Applied optics.

[2]  Jiangtao Xi,et al.  Three-dimensional measurement of object surfaces with complex shape and color distribution based on projection of color fringe patterns. , 2013, Applied optics.

[3]  José A. Ferrari,et al.  Differential 3D shape retrieval , 2014 .

[4]  Guangyu Jiang,et al.  Dual-frequency fringe Fourier transform profilometry based on defocusing , 2013 .

[5]  G. Garcia-Torales,et al.  Measurement of phase objects by the use of color phase-shifting technique , 2013, Optics & Photonics - Optical Engineering + Applications.

[6]  T. R. Judge,et al.  A review of phase unwrapping techniques in fringe analysis , 1994 .

[7]  J. M. Huntley,et al.  Temporal phase-unwrapping algorithm for automated interferogram analysis. , 1993, Applied optics.

[8]  Jonathan M. Huntley,et al.  Error-reduction methods for shape measurement by temporal phase unwrapping , 1997 .

[9]  S. Nishiyama,et al.  Carrier peak isolation from single interferogram using spectrum shift technique. , 2014, Applied optics.

[10]  Yajun Wang,et al.  3D absolute shape measurement of live rabbit hearts with a superfast two-frequency phase-shifting technique. , 2013, Optics express.

[11]  Zhenkun Lei,et al.  Deflectometry for phase retrieval using a composite fringe , 2014 .

[12]  Zhaoyang Wang,et al.  Real-time, high-accuracy 3D imaging and shape measurement. , 2015, Applied optics.

[13]  Jose I. Alonso,et al.  Automatic wavefront measurement technique using a computer display and a charge-coupled device camera , 2002 .

[14]  R. Bracewell.  The Fourier Transform and Its Applications , 1966 .

[15]  Qi Hao,et al.  Dual-frequency pattern scheme for high-speed 3-D shape measurement. , 2010, Optics express.