Shape measurement with modified phase-shift lateral shearing interferometry illumination and radial basis function.

Three-dimensional shapes of objects were evaluated with modified phase-shift lateral shearing interferometry illumination and radial basis function. A simple optical system was developed to create the fringe pattern based on the Murty interferometer. The phase shift was generated only by moving a plane-parallel plate along an in-plane parallel direction. A novel moving radial basis function method was presented to improve the quality of fringe patterns. And the proper calculation window size was given based on numerical simulation. Three-dimensional shapes of two kinds of objects were determined to verify the feasibility and effectiveness of the proposed method, and the reconstructed height distributions were in good accordance with the referenced data.

[2]  Hua Du,et al.  Out-of-plane shape determination in generalized fringe projection profilometry. , 2006, Optics express.

[3]  Daniel Malacara,et al.  Some applications of the Murty interferometer : A review , 1997 .

[4]  Jean-José Orteu,et al.  3-D computer vision in experimental mechanics , 2007 .

[5]  Xinxing Shao,et al.  Strain field estimation based on digital image correlation and radial basis function , 2015 .

[6]  Xinxing Shao,et al.  Vibration measurement based on electronic speckle pattern interferometry and radial basis function , 2015 .

[7]  Seung-Han Park,et al.  Phase-shifting lateral shearing interferometer with two pairs of wedge plates. , 2003, Optics letters.

[8]  Yu Fu,et al.  Determination of surface contour by temporal analysis of shadow moiré fringes , 2004 .

[9]  Hongjian Shi,et al.  Shape and deformation measurement system by combining fringe projection and digital image correlation , 2013 .

[10]  Xiaoyuan He,et al.  A dual-frequency fringe projection three-dimensional shape measurement system using a DLP 3D projector , 2017 .

[11]  Bing Pan,et al.  Accurate Measurement of Satellite Antenna Surface Using 3D Digital Image Correlation Technique , 2009 .

[12]  In Won Lee,et al.  Simple phase-shifting method in a wedge-plate lateral-shearing interferometer. , 2004, Applied optics.

[13]  María Frade,et al.  In situ 3D profilometry of rough objects with a lateral shearing interferometry range finder , 2012 .

[14]  Dalip Singh Mehta,et al.  Liquid-crystal phase-shifting lateral shearing interferometer with improved fringe contrast for 3D surface profilometry. , 2013, Applied optics.

[15]  Liren Liu,et al.  A phase-shifting vectorial-shearing interferometer with wedge plate phase-shifter , 2005 .

[16]  Xiaoyuan He,et al.  Non-destructive strain determination based on phase measurement and radial basis function , 2015 .

[17]  Song Zhang,et al.  Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector. , 2007, Applied optics.

[18]  Fang Zhang,et al.  Contrast enhancement for electronic speckle pattern interferometry fringes by the differential equation enhancement method. , 2006, Applied optics.

[19]  J. Rayas,et al.  Measuring object shape by using in-plane electronic speckle pattern interferometry with divergent illumination , 2010 .

[20]  Xiaoyuan He,et al.  Real-time 3D digital image correlation method and its application in human pulse monitoring. , 2016, Applied optics.

[21]  M. V. R. K. Murty,et al.  The use of a single plane parallel plate as a lateral shearing interferometer with a visible gas laser source. , 1964 .

[22]  Zhenkun Lei,et al.  Multi-frequency inverse-phase fringe projection profilometry for nonlinear phase error compensation , 2015 .

[23]  Qican Zhang,et al.  Dynamic 3-D shape measurement method: A review , 2010 .

[24]  Qian Kemao Applications of windowed Fourier fringe analysis in optical measurement: A review , 2015 .

[25]  Cho Jui Tay,et al.  Surface profiling of a transparent object by use of phase-shifting Talbot interferometry. , 2005, Applied optics.

[26]  D W Griffin,et al.  Phase-shifting shearing interferometer. , 2001, Optics letters.

[27]  Chandra Shakher,et al.  Simple multifrequency and phase-shifting fringe-projection system based on two-wavelength lateral shearing interferometry for three-dimensional profilometry. , 2005, Applied optics.

[28]  Zhao Meirong,et al.  Calibration of a fringe projection profilometry system using virtual phase calibrating model planes , 2005 .