Robust measurement of the diffuse surface by phase shift profilometry

As one of the most popular non-contact shape measurement methods, phase shift profilometry has been studied for many decades and has found applications in both the scientific and industrial world. However, its measurement accuracy and noise resistance ability are still widely researched topics. In this paper, a method to determine the phase map by calculating the phases from multiple high carrier frequencies is proposed for phase shift profilometry to measure the object's shape. Four-shifted phases are well designed to yield a closed-form solution, and a combination of the computation results from multiple high frequencies can suppress the prevalent noise effectively. Calibration methods are also introduced for practical implementation. A moving kernel filter calculated from the maximum likelihood estimation is used to suppress the noise further. The experimental results verified the effectiveness of the proposed methods.

[1]  Norihiro Abe,et al.  3D Surface Estimation and Model Construction From Specular Motion in Image Sequences , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Kim L. Boyer,et al.  Color-Encoded Structured Light for Rapid Active Ranging , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[3]  Shree K. Nayar,et al.  A Theory of Specular Surface Geometry , 2004, International Journal of Computer Vision.

[4]  X. Nguyen,et al.  High-speed 3D surface profilometry employing trapezoidal phase-shifting method with multi-band calibration for colour surface reconstruction , 2010, 1008.1302.

[5]  Harry Shum,et al.  Omnivergent Stereo , 2004, International Journal of Computer Vision.

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

[7]  Katsushi Ikeuchi,et al.  Determining Surface Orientations of Specular Surfaces by Using the Photometric Stereo Method , 1981, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  Roberto Cipolla,et al.  Multiview Stereo via Volumetric Graph-Cuts and Occlusion Robust Photo-Consistency , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[9]  X. Su,et al.  Fourier transform profilometry based on composite structured light pattern , 2007 .

[10]  Li Zhang,et al.  Rapid shape acquisition using color structured light and multi-pass dynamic programming , 2002, Proceedings. First International Symposium on 3D Data Processing Visualization and Transmission.

[11]  Joaquim Salvi,et al.  Robust Segmentation and Decoding of a Grid Pattern for Structured Light , 2003, IbPRIA.

[12]  Ettore Stella,et al.  HiPER 3-D: An Omnidirectional Sensor for High Precision Environmental 3-D Reconstruction , 2012, IEEE Transactions on Industrial Electronics.

[13]  L. Hassebrook,et al.  Optimized two-frequency phase-measuring-profilometry light-sensor temporal-noise sensitivity. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[14]  C Guan,et al.  Composite structured light pattern for three-dimensional video. , 2003, Optics express.

[15]  Yi Deng,et al.  Stereo Correspondence with Occlusion Handling in a Symmetric Patch-Based Graph-Cuts Model , 2007, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[16]  Fu-Pen Chiang,et al.  Trapezoidal phase-shifting method for three-dimensional shape measurement , 2005 .

[17]  Minoru Maruyama,et al.  Range Sensing By Projecting Multiple Slits With Random Cuts , 1990, Other Conferences.

[18]  Ruigang Yang,et al.  Analytic measurement of mirror surfaces by a single shot with united modeling of incident rays , 2012 .

[19]  John E. Greivenkamp,et al.  Generalized Data Reduction For Heterodyne Interferometry , 1984 .

[20]  Tommy W. S. Chow,et al.  A neural-learning-based reflectance model for 3-D shape reconstruction , 2000, IEEE Trans. Ind. Electron..

[21]  Ruigang Yang,et al.  Measurement of mirror surfaces using specular reflection and analytical computation , 2013, Machine Vision and Applications.

[22]  Laurence G. Hassebrook,et al.  Very high resolution 3D surface scanning using multi-frequency phase measuring profilometry , 2005, SPIE Defense + Commercial Sensing.

[23]  C. J. Morgan.  Least-squares estimation in phase-measurement interferometry. , 1982, Optics letters.

[24]  Jiang Yu Zheng,et al.  Acquiring a Complete 3D Model from Specular Motion under the Illumination of Circular-Shaped Light Sources , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[25]  G Sansoni,et al.  Three-dimensional vision based on a combination of gray-code and phase-shift light projection: analysis and compensation of the systematic errors. , 1999, Applied optics.

[26]  E Goering,et al.  Magnetic reflectometry of heterostructures. , 2014, Journal of physics. Condensed matter : an Institute of Physics journal.

[27]  Katsushi Ikeuchi,et al.  Transparent surface modeling from a pair of polarization images , 2004 .

[28]  Jonathan Kofman,et al.  Multiple-step triangular-pattern phase shifting and the influence of number of steps and pitch on measurement accuracy. , 2007, Applied optics.

[29]  Ronald Chung,et al.  An Accurate and Robust Strip-Edge-Based Structured Light Means for Shiny Surface Micromeasurement in 3-D , 2013, IEEE Transactions on Industrial Electronics.

[30]  Laurence G. Hassebrook,et al.  Improved composite-pattern structured-light profilometry by means of postprocessing , 2008 .

[31]  Kiriakos N. Kutulakos,et al.  A Theory of Refractive and Specular 3D Shape by Light-Path Triangulation , 2005, ICCV.

[32]  André Oosterlinck,et al.  Range Image Acquisition with a Single Binary-Encoded Light Pattern , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[33]  K. Creath.  V Phase-Measurement Interferometry Techniques , 1988 .

[34]  Lee E. Weiss,et al.  Structured Highlight Inspection of Specular Surfaces , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[35]  J C Wyant,et al.  Testing aspherics using two-wavelength holography: use of digital electronic techniques. , 1984, Applied optics.