Three-dimensional profilometry using a Dammann grating.

We propose three-dimensional (3D) profilometry based on a Fourier transform in which a two-dimensional (2D) Dammann grating and a cylindrical lens are used to generate structured light. The Dammann grating splits most of the illumination power into a 2D diffractive spot matrix. The cylindrical lens transforms these 2D diffractive spots into one-dimensional fringe lines that are projected on an object. The produced projection fringes have the advantages of high brightness and high contrast and compression ratios. The experiments have verified the proposed 3D profilometry. The 3D profilometry using Dammann grating should be of high interest for practical applications.

[1]  C. Zhou,et al.  Numerical study of Dammann array illuminators. , 1995, Applied optics.

[2]  Changhe Zhou,et al.  Circular Dammann grating. , 2003, Optics letters.

[3]  Changhe Zhou,et al.  Three-port beam splitter of a binary fused-silica grating. , 2008, Applied optics.

[4]  M. Takeda,et al.  Frequency-multiplex Fourier-transform profilometry: a single-shot three-dimensional shape measurement of objects with large height discontinuities and/or surface isolations. , 1997, Applied optics.

[5]  Changhe Zhou,et al.  Dynamic optical coupled system employing even-numbered dammann gratings. , 2006, Applied optics.

[6]  Xiaoxin Wang,et al.  Scheme of real-time Dammann grating based miniaturized three-dimensional endoscopic imaging system , 2007, SPIE/COS Photonics Asia.

[7]  H. Dammann,et al.  High-efficiency in-line multiple imaging by means of multiple phase holograms , 1971 .

[8]  Y Hao,et al.  Multifrequency grating projection profilometry based on the nonlinear excess fraction method. , 1999, Applied optics.

[9]  Changhe Zhou,et al.  Polarizing beam splitter of a deep-etched fused-silica grating. , 2007, Optics letters.

[10]  Kelly K. Dobson,et al.  Optical image coding with a circular Dammann grating. , 2009, Applied optics.

[11]  Rick L. Morrison,et al.  Symmetries that simplify the design of spot array phase gratings , 1992 .

[12]  M. Takeda,et al.  Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry , 1982 .

[13]  Joris Vanherzeele,et al.  Fourier fringe processing using a regressive Fourier-transform technique , 2005 .

[14]  Xianyu Su,et al.  Fourier transform profilometry:: a review , 2001 .

[15]  M. Takeda,et al.  Fourier transform profilometry for the automatic measurement of 3-D object shapes. , 1983, Applied optics.

[16]  Koichi Iwata,et al.  Three-dimensional profiling using the Fourier transform method with a hexagonal grating projection. , 2008, Applied optics.

[17]  J. Goodman Introduction to Fourier optics , 1969 .