相移条纹投影三维形貌测量技术综述
|
摘要
结构光三维形貌测量系统目前得到了越来越广泛的应用和研究,相移条纹投影三维形貌精密测量技术是其重要的发展方向。对结构光相移条纹投影三维形貌测量系统的应用发展、工作过程、不同系统构成方式、相移条纹的各种形式及特点、相位误差校正方法、不同相位解包裹算法及其优缺点和适用场合、测量系统数学模型的实现方法及其相应的优缺点、高动态范围测量技术等进行了详细的分析。对相移条纹投影系统的工作流程、实现方法、关键技术的发展及其存在问题等进行了比较全面的梳理,为三维形貌精密测量技术进一步满足先进制造中更高精度的要求指出了后续的研究方向。
Structured light three-dimensional( 3 D) measurement system has been widely used and studied in optical metrology recent years. 3 D surface construction methods with fringe projection techniques have become one of the most active research areas. The measurement principle,working process,system configurations,phase shifting fringes,phase error correction, phase unwrapping, high dynamic range measurement method are detailed. The advantages and disadvantages of the techniques are also discussed. The working flow,realization method,key techniques and existing problems of a phase shifting fringe projection system are introduced comprehensively, and the subsequent research directions are pointed out for the 3 D shape measurement technology to meet the requirements of higher precision in advanced manufacturing in the further.
Structured light three-dimensional( 3 D) measurement system has been widely used and studied in optical metrology recent years. 3 D surface construction methods with fringe projection techniques have become one of the most active research areas. The measurement principle,working process,system configurations,phase shifting fringes,phase error correction, phase unwrapping, high dynamic range measurement method are detailed. The advantages and disadvantages of the techniques are also discussed. The working flow,realization method,key techniques and existing problems of a phase shifting fringe projection system are introduced comprehensively, and the subsequent research directions are pointed out for the 3 D shape measurement technology to meet the requirements of higher precision in advanced manufacturing in the further.
引文
[1]Luhmann T,Robson S,Kyle S,et al.Close Range Photogrammetry:Principles,Techniques and Applications[M].Dunbeath,Scotland,UK:Whittles Publishing,2006.
[2]Gorthi S,Rastogi P.Fringe projection techniques:Whither we are?[J].Optics and Lasers in Engineering,2010,48(2):133-140.
[3]Dai M,Yang F,Liu C,et al.A dual-frequency fringe projection three-dimensional shape measurement system using a DLP 3D projector[J].Optics Communications,2017,382:294-301.
[4]Li B,Zhang S.Microscopic structured light 3D profilometry:Binary defocusing technique vs.sinusoidal fringe projection[J].Optics and Lasers in Engineering,2017,96:117-123.
[5]Shen Q,Chen W,Zhong M,et al.An improving fringe analysis method based on the accuracy of S-transform profilometry[J].Optics Communications,2014,322:8-15.
[6]Chen K,Xi J,Yu Y,et al.Three-dimensional measurement of object surfaces with complex shape and color distribution based on projection of color fringe patterns[J].Applied Optics,2013,52(30):7360-7366.
[7]韦争亮,古耀达,黄志斌,等.双目立体视觉中特征点三维坐标重构校准研究[J].计量学报,2014,35(2):102-107.Wei Z L,Gu Y D,Huang Z B,et al.Research on Calibration of Three Dimensional Coordinate Reconstruction of Feature Points in Binocular Stereo Vision[J].Acta Metrologica Sinica,2014,35(2):102-107.
[8]潘贝.基于黑白编码结构光的快速三维重建方法研究[D].浙江:浙江工业大学,2011.
[9]谢捷如,王震.运用LCD条纹投影进行光学三维轮廓测量[J].计量学报.2008,29(4):301-304.Xie J R,Wang Z.Optical 3D Profile Measurements Using LCD Fringe Projection[J].Acta Metrologica Sinica,2008,29(4):301-304.
[10]Zhang Q,Su X,Xiang L,et al.3-D shape measurement based on complementary Gray-code light[J].Optics and Lasers in Engineering,2012,50(4):574-579.
[11]Geng J.Structured-light 3D surface imaging:a tutorial[J].Advances in Optics and Photonics,2011,3(2):128-160.
[12]Servin M,Padilla M,Garnica G,et al.Profilometry of three-dimensional discontinuous solids by combining two-steps temporal phase unwrapping,co-phased profilometry and phase-shifting interferometry[J].Optics and Lasers in Engineering,2016,87:75-82.
[13]Servin M,Garnica G,Padilla J M.360-degree fringeprojection profilometry of discontinuous solids with 2 cophased projectors and 1-camera[J].Physics,2014.ar Xiv ID:1412.0049.
[14]Zhong K,Li Z,Zhou X,et al.Enhanced phase measurement profilometry for industrial 3D inspection automation[J].International Journal of Advanced Manufacturing Technology,2015,76(9-12):1563-1574.
[15]Servin M,Garnica G,Estrada J C,et al.Coherent digital demodulation of single-camera N-projections for3D-object shape measurement:co-phased profilometry[J].Optics Express,2013,21(21):24873-24878.
[16]Geng J.3D surface profile imaging method and apparatus using single spectral light condition:US6 556 706[P].2003-04-29.
[17]Zuo C,Chen Q,Gu G H,et al.High-speed threedimensional profilometry for multiple objects with complex shapes[J].Optics Express,2012,20(17):19493-19510.
[18]Chen K,Xi J,Yu Y,et al.Three-dimensional measurement of object surfaces with complex shape and color distribution based on projection of color fringe patterns[J].Applied Optics,2013,52(30):7360-7366.
[19]Ekstrand L,Zhang S.Three-dimensional profilometry with nearly focused binary phase-shifting algorithms[J].Optics Letters,2011,36(23):4518-4520.
[20]Zuo C,Feng F,Gu G,et al.Optimized pulse width modulation pattern strategy for three-dimensional profilometry with projector defocusing[J].Applied Optics,2012,51(19):4477-4490.
[21]Lohry W,Zhang S.3D shape measurement with 2D area modulated binary patterns[J].Optics and Lasers in Engineering,2012,50(7):917-921.
[22]Dai J,Zhang S.Phase-optimized dithering technique for high-quality 3D shape measurement[J].Optics and Lasers in Engineering,2013,51(6):790-795.
[23]Li B,Wang Y,Dai J,et al.Some recent advances on superfast 3D shape measurement with digital binary defocusing techniques[J].Optics and Lasers in Engineering,2014,54(1):236-246.
[24]高鹏,李勇,涂颜帅,等.离焦条纹投影三维测量中正弦光栅的二值化方法研究[J].光子学报.2014,43(5):0512006.Gao P,Li Y,Tu Y S,et al.Binarization methods of sinusoidal grating in 3D measurement base on defocused fringe projection[J].Acta Photonica Sinica,2014,43(5):0512006.
[25]赵立伟,达飞鹏,郑东亮.离焦投影三维测量的二值光栅生成方法[J].光学学报,2016,36(8):0812005.Zhao L W,Da F P,Zheng D L.Method for binary grating generation using defocused projection for threedimensional measurement[J].Acta Optica Sinica,2016,36(8):0812005.
[26]Li B.High quality three-dimensional(3D)shape measurement using intensity-optimized dithering technique[D].Ames:Iowa State University,2014.
[27]Dai J,Li B,Zhang S.Intensity-optimized dithering technique for three-dimensional shape measurement with projector defocusing[J].Optics and Lasers in Engineering,2014,53(2):79-85.
[28]于晓洋,吴海滨,尹丽萍,等.格雷码与相移结合的结构光三维测量技术[J].仪器仪表学报,2007,28(12):2152-2157.Yu X Y,Wu H B,Yin L P,et al.3D measurement technology based on structured light by combining Gray code with phase-shift[J].Chinese Journal of scientific instrument,2007,28(12):2152-2157.
[29]Zhang Q,Su X,Xiang L,et al.3-D shape measurement based on complementary Gray-code light[J].Optics and Lasers in Engineering,2012,50(4):574-579.
[30]Zheng D,Da F,Qian K,et al.Phase-shifting profilometry combined with Gray-code patterns projection:unwrapping error removal by an adaptive median filter[J].Optics Express,2017,25(6):4700-4713.
[31]Chen K,Xi J,Yu Y,et al.Three-dimensional measurement of object surfaces with complex shape and color distribution based on projection of color fringe patterns[J].Applied Optics,2013,52(30):7360-7366.
[32]Budianto B,Lun D.Robust Fringe Projection Profilometry via Sparse Representation[J].IEEE Transactions on Image Processing A Publication of the IEEE Signal Processing Society,2016,25(4):1726-1739.
[33]Zhang C,Zhao H,Zhang L,et al.Full-field phase error detection and compensation method for digital phase-shifting fringe projection profilometry[J].Measurement Science&Technology,2015,26(3):035201.
[34]Chen X,Yao J,Chen J,et al.A convenient look-uptable-based method for the compensation of non-linear error in digital fringe projection[J].Theoretical and Applied Mechanics Letters,2016,6(1):49-53.
[35]Pan B,Qian K,Huang L,et al.Phase error analysis and compensation for nonsinusoidal waveforms in phaseshifting digital fringe projection profilometry[J].Optics Letters,2009,34(4):416-8.
[36]Zhang W,Yu L,Li W S,et al.Black-Box phase error compensation for digital phase-shifting profilometry[J].IEEE Transactions on Instrumentation and Measurement,2017,66(10):2755-2761.
[37]Li Z,Li Y.Gamma-distorted fringe image modeling and accurate gamma correction for fast phase measuring profilometry[J].Optics Letters,2011,36(2):154-6.
[38]Xu Z,Chan Y.Removing harmonic distortion of measurements of a defocusing three-step phase-shifting digital fringe projection system[J].Optics and Lasers in Engineering,2017,90:139-145.
[39]Zheng D,Da F.Gamma correction for two step phase shifting fringe projection profilometry[J].OptikInternational Journal for Light and Electron Optics,2013,124(13):1392-1397.
[40]Yatabe K,Ishikawa K,Oikawa Y.Compensation of fringe distortion for phase-shifting three-dimensional shape measurement by inverse map estimation[J].Applied Optics,2016,55(22):6017-6024.
[41]Lei Z,Wang C,Zhou C.Multi-frequency inverse-phase fringe projection profilometry for nonlinear phase error compensation[J].Optics and Lasers in Engineering,2015,66:249-257.
[42]Cai Z,Liu X,Jiang H,et al.Flexible phase error compensation based on Hilbert transform in phase shifting profilometry[J].Optics Express,2015,23(19):25171-81.
[43]Zheng D,Da F,Kemao Q,et al.Phase error analysis and compensation for phase shifting profilometry with projector defocusing[J].Applied Optics,2016,55(21):5721-5728.
[44]Zhang S.Comparative study on passive and active projector nonlinear gamma calibration[J].Applied Optics,2015,54(13):3834-3841.
[45]Xu W,Cumming I.A region-growing algorithm for In SAR phase unwrapping[J].IEEE Transactions on Geoscience&Remote Sensing,2014,37(1):124-134.
[46]钱晓凡,李斌,李兴华,等.横向剪切最小二乘相位解包裹算法的改进[J].中国激光,2012,39(11):193-197.Qian X F,Li B,Li X H,et al.Improvement of LeastSquare Phase Unwrapping Algorithm Based on Lateral Shearing Interferometry[J].Chinese Journal of Lasers,2012,39(11):193-197.
[47]郭媛,吴全,毛琦,等.基于横向剪切的四向最小二乘相位解包裹算法[J].光电子·激光.2015,26(10):1953-1959.Guo Y,Wu Q,Mao Q,et al.Four directions leastsquare phase unwrapping algorithm based on lateral shearing interferometry[J].Journal of Optoelectronics Laser,2015,26(10):1953-1959.
[48]徐建亮,周明安,方晓芬,等.一种两步相移任意步距相位轮廓测量技术研究[J].计量学报,2016,37(5):472-475.Xu J L,Zhou M A,Fang X F,et al.Study on an Two Phase-shifting Profilometry with an Arbitrary Steps Algorithm[J].Acta Metrologica Sinica,2016,37(5):472-475.
[49]Dai Z,Zha X.An Accurate Phase Unwrapping Algorithm Based on Reliability Sorting and Residue Mask[J].IEEE Geoscience&Remote Sensing Letters,2012,9(2):219-223.
[50]Lu Y,Zhao W,Zhang X.Quality Map Generation in Two-Dimensional Phase Unwrapping Process by Using Edge Detection Techniques.In:Vision Sensors and Edge Detection[M].Francisco:Gallegos-Funes(Ed.),In Tech,2010.DOI:10.5772/10137.
[51]Chen K,Xi J,Yu Y.Quality-guided spatial phase unwrapping algorithm for fast three-dimensional measurement[J].Optics Communications,2013,294:139-147.
[52]Li W,Fang S.Reliability-guided phase unwrapping algorithm following noncontinuous path based on color fringe projection[J].Optik-International Journal for Light and Electron Optics,2012,123(6):537-546.
[53]Zheng D,Da F.Phase coding method for absolute phase retrieval with a large number of codewords[J].Optics Express,2012,20(22):24139-24150.
[54]Xu Y,Jia S,Luo X,et al.Multi-frequency projected fringe profilometry for measuring objects with large depth discontinuities[J].Optics Communications,2013,288:27-30.
[55]Ding Y,Xi J,Yu Y,et al.Absolute phase recovery of three fringe patterns with selected spatial frequencies[J].Optics and Lasers in Engineering,2015,70:18-25.
[56]Lu J,Mo R,Sun H,et al.Simplified absolute phase retrieval of dual-frequency fringe patterns in fringe projection profilometry[J].Optics Communications,2016,364:101-109.
[57]Zuo C,Huang L,Zhang M,et al.Temporal phase unwrapping algorithms for fringe projection profilometry:A comparative review[J].Optics and Lasers in Engineering,2016,85:84-103.
[58]Dai M,Yang F,Liu C,et al.A dual-frequency fringe projection three-dimensional shape measurement system using a DLP 3D projector[J].Optics Communications,2017,382:294-301.
[59]Zhang M,Chen Q,Tao T,et al.Robust and efficient multi-frequency temporal phase unwrapping:optimal fringe frequency and pattern sequence selection[J].Optics Express,2017,25(17):20381-20400.
[60]Zhang Z.A flexible new technique for camera calibration[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,2000,22(11):1330-1334.
[61]张广军.机器视觉[M].北京:科学出版社,2005,24-31.
[62]Liu Y.Accuracy improvement of 3D measurement using digital fringe projection[J].Equine Veterinary Journal,2015,36(8):683-688.
[63]Zhang W,Li W,Yu L,et al.Sub-pixel projector calibration method for fringe projection profilometry[J].Optics Express,2017,25(16):19158-19169.
[64]Zhang S.Recent progresses on real-time 3D shape measurement using digital fringe projection techniques[J].Optics and Lasers in Engineering,2010,48(2):149-158.
[65]李中伟,史玉升,钟凯,等.结构光测量技术中的投影仪标定算法[J].光学学报,2009,29(11):3061-3065.Li Z W,Shi Y S,Zhong K,et al.Projector Calibration Algorithm for the Structured Light Measurement Technique[J].Acta Optica Sinica,2009,29(11):3061-3065.
[66]Huang Z,Xi J,Yu Y,et al.Accurate projector calibration based on a new point-to-point mapping relationship between the camera and projector images[J].Applied Optics,2015,54(3):347-356.
[67]Li B,Karpinsky N,Zhang S.Novel calibration method for structured-light system with an out-of-focus projector[J].Applied Optics,2014,53(16):3415-3426.
[68]Merner L,Wang Y,Zhang S.Accurate calibration for3D shape measurement system using a binary defocusing technique[J].Optics and Lasers in Engineering,2013,51(5):514-519.
[69]Wang Y,Cai B,Wang K,et al.Out-of focus color camera calibration with one normal-sized color-coded pattern[J].Optics and Lasers in Engineering,2017,98:17–22.
[70]李万松,苏礼坤,苏显渝.相位检测面形术在大尺度三维面形测量中的应用[J].光学学报,2000,20(6):792-796.Li W S,Shu L K,Shu X Y.Phase-Measuring Profilometry in Big Scale Measurement[J].Acta Optica Sinica,2000,20(6):792-796.
[71]Du H,Wang Z.Three-dimensional shape measurement with an arbitrarily arranged fringe projection profilometry system[J].Optics Letters,2007,32(16):2438-2440.
[72]Xiao Y,Cao Y,Wu Y.Improved algorithm for phaseto-height mapping in phase measuring profilometry[J].Applied Optics,2012,51(8):1149-1155.
[73]盖绍彦.光栅投影三维测量系统的关键技术研究[D].南京:东南大学,2008.
[74]Huang J,Wu Q.A new reconstruction method based on fringe projection of three-dimensional measuring system[J].Optics and Lasers in Engineering,2014,52(1):115-122.
[75]Yu L,Zhang W,Li W,et al.Simplification of high order polynomial calibration model for fringe projection profilometry[J].Measurement Science&Technology,2016,27(10):105202.
[76]Ekstrand L,Zhang S.Autoexposure for threedimensional shape measurement using a digital-lightprocessing projector[J].Optical Engineering,2011,50(12):123603.
[77]Jiang H,Zhao H J,Li X D.High dynamic range fringe acquisition:A novel 3-D scanning technique for highreflective surfaces[J].Optics and Lasers in Engineering,2012,50:1484–1493.
[78]Feng S,Zhang Y,Chen Q,et al.General solution for high dynamic range three-dimensional shape measurement using the fringe projection technique[J].Optics and Lasers in Engineering,2014,59:56-71.
[79]Zhang B,Ouyang Y,Zhang S.High dynamic range saturation intelligence avoidance for three-dimensional shape measurement[C]//15th IEEE/ACM International Symposium on Cluster,Cloud and Grid Computing.Shenzhen,China,2015:981-990.
[80]Song Z,Jiang H,Lin H,et al.A high dynamic range structured light means for the 3D measurement of specular surface[J].Optics and Lasers in Engineering,2017,95:8-16.
[81]Li D,Kofman J.Adaptive fringe-pattern projection for image saturation avoidance in 3D surface-shape measurement[J].Optics Express,2014,22(8):9887-9901.
[82]Lin H,Gao J,Mei Q,et al.Adaptive digital fringe projection technique for high dynamic range threedimensional shape measurement[J].Optics Express,2016,24(7):9887-9901.
[83]Lin H,Gao J,Mei Q,et al.Three-dimensional shape measurement technique for shiny surfaces by adaptive pixel-wise projection intensity adjustment[J].Optics and Lasers in Engineering,2017,91:206-215.
[84]Li S,Da F,Rao L.Novel adaptive fringe projection technique for high dynamic range 3D shape measurement[C]//International Conference on Optical and Photonics Engineering.Asundi,India,2017:104491l.
[85]Chen B,Zhang S.High-quality 3D shape measurement using saturated fringe patterns[J].Optics and Lasers in Engineering,2017,87:83-39.
[86]Jiang C,Bell T,Zhang S.High dynamic range realtime 3D shape measurement[J].2016,24(7):7337-7346.
[87]Wang M,Du G,Zhou C,et al.Enhanced high dynamic range 3D shape measurement based on generalized phase-shifting algorithm[J].Optics Communications,2017,385:43–53.
[88]Hu Q,Harding K G.Shiny parts measurement using color separation[J].Proceedings of SPIE-The International Society for Optical Engineering,2005,6000:125-132.
[89]Feng S,Chen Q,Zuo C,et al.Fast three-dimensional measurements for dynamic scenes with shiny surfaces[J].Optics Communications,2017,382:18-27.
[90]Liu G,Liu X,Feng Q.3D shape measurement of objects with high dynamic range of surface reflectivity[J].Applied Optics,2011,50(23):4557-4565.
[91]Salahieh B,Chen Z,Rodriguez J,et al.Multipolarization fringe projection imaging for high dynamic range objects[J].Optics Express,2014,22(8):10064-71.
[2]Gorthi S,Rastogi P.Fringe projection techniques:Whither we are?[J].Optics and Lasers in Engineering,2010,48(2):133-140.
[3]Dai M,Yang F,Liu C,et al.A dual-frequency fringe projection three-dimensional shape measurement system using a DLP 3D projector[J].Optics Communications,2017,382:294-301.
[4]Li B,Zhang S.Microscopic structured light 3D profilometry:Binary defocusing technique vs.sinusoidal fringe projection[J].Optics and Lasers in Engineering,2017,96:117-123.
[5]Shen Q,Chen W,Zhong M,et al.An improving fringe analysis method based on the accuracy of S-transform profilometry[J].Optics Communications,2014,322:8-15.
[6]Chen K,Xi J,Yu Y,et al.Three-dimensional measurement of object surfaces with complex shape and color distribution based on projection of color fringe patterns[J].Applied Optics,2013,52(30):7360-7366.
[7]韦争亮,古耀达,黄志斌,等.双目立体视觉中特征点三维坐标重构校准研究[J].计量学报,2014,35(2):102-107.Wei Z L,Gu Y D,Huang Z B,et al.Research on Calibration of Three Dimensional Coordinate Reconstruction of Feature Points in Binocular Stereo Vision[J].Acta Metrologica Sinica,2014,35(2):102-107.
[8]潘贝.基于黑白编码结构光的快速三维重建方法研究[D].浙江:浙江工业大学,2011.
[9]谢捷如,王震.运用LCD条纹投影进行光学三维轮廓测量[J].计量学报.2008,29(4):301-304.Xie J R,Wang Z.Optical 3D Profile Measurements Using LCD Fringe Projection[J].Acta Metrologica Sinica,2008,29(4):301-304.
[10]Zhang Q,Su X,Xiang L,et al.3-D shape measurement based on complementary Gray-code light[J].Optics and Lasers in Engineering,2012,50(4):574-579.
[11]Geng J.Structured-light 3D surface imaging:a tutorial[J].Advances in Optics and Photonics,2011,3(2):128-160.
[12]Servin M,Padilla M,Garnica G,et al.Profilometry of three-dimensional discontinuous solids by combining two-steps temporal phase unwrapping,co-phased profilometry and phase-shifting interferometry[J].Optics and Lasers in Engineering,2016,87:75-82.
[13]Servin M,Garnica G,Padilla J M.360-degree fringeprojection profilometry of discontinuous solids with 2 cophased projectors and 1-camera[J].Physics,2014.ar Xiv ID:1412.0049.
[14]Zhong K,Li Z,Zhou X,et al.Enhanced phase measurement profilometry for industrial 3D inspection automation[J].International Journal of Advanced Manufacturing Technology,2015,76(9-12):1563-1574.
[15]Servin M,Garnica G,Estrada J C,et al.Coherent digital demodulation of single-camera N-projections for3D-object shape measurement:co-phased profilometry[J].Optics Express,2013,21(21):24873-24878.
[16]Geng J.3D surface profile imaging method and apparatus using single spectral light condition:US6 556 706[P].2003-04-29.
[17]Zuo C,Chen Q,Gu G H,et al.High-speed threedimensional profilometry for multiple objects with complex shapes[J].Optics Express,2012,20(17):19493-19510.
[18]Chen K,Xi J,Yu Y,et al.Three-dimensional measurement of object surfaces with complex shape and color distribution based on projection of color fringe patterns[J].Applied Optics,2013,52(30):7360-7366.
[19]Ekstrand L,Zhang S.Three-dimensional profilometry with nearly focused binary phase-shifting algorithms[J].Optics Letters,2011,36(23):4518-4520.
[20]Zuo C,Feng F,Gu G,et al.Optimized pulse width modulation pattern strategy for three-dimensional profilometry with projector defocusing[J].Applied Optics,2012,51(19):4477-4490.
[21]Lohry W,Zhang S.3D shape measurement with 2D area modulated binary patterns[J].Optics and Lasers in Engineering,2012,50(7):917-921.
[22]Dai J,Zhang S.Phase-optimized dithering technique for high-quality 3D shape measurement[J].Optics and Lasers in Engineering,2013,51(6):790-795.
[23]Li B,Wang Y,Dai J,et al.Some recent advances on superfast 3D shape measurement with digital binary defocusing techniques[J].Optics and Lasers in Engineering,2014,54(1):236-246.
[24]高鹏,李勇,涂颜帅,等.离焦条纹投影三维测量中正弦光栅的二值化方法研究[J].光子学报.2014,43(5):0512006.Gao P,Li Y,Tu Y S,et al.Binarization methods of sinusoidal grating in 3D measurement base on defocused fringe projection[J].Acta Photonica Sinica,2014,43(5):0512006.
[25]赵立伟,达飞鹏,郑东亮.离焦投影三维测量的二值光栅生成方法[J].光学学报,2016,36(8):0812005.Zhao L W,Da F P,Zheng D L.Method for binary grating generation using defocused projection for threedimensional measurement[J].Acta Optica Sinica,2016,36(8):0812005.
[26]Li B.High quality three-dimensional(3D)shape measurement using intensity-optimized dithering technique[D].Ames:Iowa State University,2014.
[27]Dai J,Li B,Zhang S.Intensity-optimized dithering technique for three-dimensional shape measurement with projector defocusing[J].Optics and Lasers in Engineering,2014,53(2):79-85.
[28]于晓洋,吴海滨,尹丽萍,等.格雷码与相移结合的结构光三维测量技术[J].仪器仪表学报,2007,28(12):2152-2157.Yu X Y,Wu H B,Yin L P,et al.3D measurement technology based on structured light by combining Gray code with phase-shift[J].Chinese Journal of scientific instrument,2007,28(12):2152-2157.
[29]Zhang Q,Su X,Xiang L,et al.3-D shape measurement based on complementary Gray-code light[J].Optics and Lasers in Engineering,2012,50(4):574-579.
[30]Zheng D,Da F,Qian K,et al.Phase-shifting profilometry combined with Gray-code patterns projection:unwrapping error removal by an adaptive median filter[J].Optics Express,2017,25(6):4700-4713.
[31]Chen K,Xi J,Yu Y,et al.Three-dimensional measurement of object surfaces with complex shape and color distribution based on projection of color fringe patterns[J].Applied Optics,2013,52(30):7360-7366.
[32]Budianto B,Lun D.Robust Fringe Projection Profilometry via Sparse Representation[J].IEEE Transactions on Image Processing A Publication of the IEEE Signal Processing Society,2016,25(4):1726-1739.
[33]Zhang C,Zhao H,Zhang L,et al.Full-field phase error detection and compensation method for digital phase-shifting fringe projection profilometry[J].Measurement Science&Technology,2015,26(3):035201.
[34]Chen X,Yao J,Chen J,et al.A convenient look-uptable-based method for the compensation of non-linear error in digital fringe projection[J].Theoretical and Applied Mechanics Letters,2016,6(1):49-53.
[35]Pan B,Qian K,Huang L,et al.Phase error analysis and compensation for nonsinusoidal waveforms in phaseshifting digital fringe projection profilometry[J].Optics Letters,2009,34(4):416-8.
[36]Zhang W,Yu L,Li W S,et al.Black-Box phase error compensation for digital phase-shifting profilometry[J].IEEE Transactions on Instrumentation and Measurement,2017,66(10):2755-2761.
[37]Li Z,Li Y.Gamma-distorted fringe image modeling and accurate gamma correction for fast phase measuring profilometry[J].Optics Letters,2011,36(2):154-6.
[38]Xu Z,Chan Y.Removing harmonic distortion of measurements of a defocusing three-step phase-shifting digital fringe projection system[J].Optics and Lasers in Engineering,2017,90:139-145.
[39]Zheng D,Da F.Gamma correction for two step phase shifting fringe projection profilometry[J].OptikInternational Journal for Light and Electron Optics,2013,124(13):1392-1397.
[40]Yatabe K,Ishikawa K,Oikawa Y.Compensation of fringe distortion for phase-shifting three-dimensional shape measurement by inverse map estimation[J].Applied Optics,2016,55(22):6017-6024.
[41]Lei Z,Wang C,Zhou C.Multi-frequency inverse-phase fringe projection profilometry for nonlinear phase error compensation[J].Optics and Lasers in Engineering,2015,66:249-257.
[42]Cai Z,Liu X,Jiang H,et al.Flexible phase error compensation based on Hilbert transform in phase shifting profilometry[J].Optics Express,2015,23(19):25171-81.
[43]Zheng D,Da F,Kemao Q,et al.Phase error analysis and compensation for phase shifting profilometry with projector defocusing[J].Applied Optics,2016,55(21):5721-5728.
[44]Zhang S.Comparative study on passive and active projector nonlinear gamma calibration[J].Applied Optics,2015,54(13):3834-3841.
[45]Xu W,Cumming I.A region-growing algorithm for In SAR phase unwrapping[J].IEEE Transactions on Geoscience&Remote Sensing,2014,37(1):124-134.
[46]钱晓凡,李斌,李兴华,等.横向剪切最小二乘相位解包裹算法的改进[J].中国激光,2012,39(11):193-197.Qian X F,Li B,Li X H,et al.Improvement of LeastSquare Phase Unwrapping Algorithm Based on Lateral Shearing Interferometry[J].Chinese Journal of Lasers,2012,39(11):193-197.
[47]郭媛,吴全,毛琦,等.基于横向剪切的四向最小二乘相位解包裹算法[J].光电子·激光.2015,26(10):1953-1959.Guo Y,Wu Q,Mao Q,et al.Four directions leastsquare phase unwrapping algorithm based on lateral shearing interferometry[J].Journal of Optoelectronics Laser,2015,26(10):1953-1959.
[48]徐建亮,周明安,方晓芬,等.一种两步相移任意步距相位轮廓测量技术研究[J].计量学报,2016,37(5):472-475.Xu J L,Zhou M A,Fang X F,et al.Study on an Two Phase-shifting Profilometry with an Arbitrary Steps Algorithm[J].Acta Metrologica Sinica,2016,37(5):472-475.
[49]Dai Z,Zha X.An Accurate Phase Unwrapping Algorithm Based on Reliability Sorting and Residue Mask[J].IEEE Geoscience&Remote Sensing Letters,2012,9(2):219-223.
[50]Lu Y,Zhao W,Zhang X.Quality Map Generation in Two-Dimensional Phase Unwrapping Process by Using Edge Detection Techniques.In:Vision Sensors and Edge Detection[M].Francisco:Gallegos-Funes(Ed.),In Tech,2010.DOI:10.5772/10137.
[51]Chen K,Xi J,Yu Y.Quality-guided spatial phase unwrapping algorithm for fast three-dimensional measurement[J].Optics Communications,2013,294:139-147.
[52]Li W,Fang S.Reliability-guided phase unwrapping algorithm following noncontinuous path based on color fringe projection[J].Optik-International Journal for Light and Electron Optics,2012,123(6):537-546.
[53]Zheng D,Da F.Phase coding method for absolute phase retrieval with a large number of codewords[J].Optics Express,2012,20(22):24139-24150.
[54]Xu Y,Jia S,Luo X,et al.Multi-frequency projected fringe profilometry for measuring objects with large depth discontinuities[J].Optics Communications,2013,288:27-30.
[55]Ding Y,Xi J,Yu Y,et al.Absolute phase recovery of three fringe patterns with selected spatial frequencies[J].Optics and Lasers in Engineering,2015,70:18-25.
[56]Lu J,Mo R,Sun H,et al.Simplified absolute phase retrieval of dual-frequency fringe patterns in fringe projection profilometry[J].Optics Communications,2016,364:101-109.
[57]Zuo C,Huang L,Zhang M,et al.Temporal phase unwrapping algorithms for fringe projection profilometry:A comparative review[J].Optics and Lasers in Engineering,2016,85:84-103.
[58]Dai M,Yang F,Liu C,et al.A dual-frequency fringe projection three-dimensional shape measurement system using a DLP 3D projector[J].Optics Communications,2017,382:294-301.
[59]Zhang M,Chen Q,Tao T,et al.Robust and efficient multi-frequency temporal phase unwrapping:optimal fringe frequency and pattern sequence selection[J].Optics Express,2017,25(17):20381-20400.
[60]Zhang Z.A flexible new technique for camera calibration[J].IEEE Transactions on Pattern Analysis and Machine Intelligence,2000,22(11):1330-1334.
[61]张广军.机器视觉[M].北京:科学出版社,2005,24-31.
[62]Liu Y.Accuracy improvement of 3D measurement using digital fringe projection[J].Equine Veterinary Journal,2015,36(8):683-688.
[63]Zhang W,Li W,Yu L,et al.Sub-pixel projector calibration method for fringe projection profilometry[J].Optics Express,2017,25(16):19158-19169.
[64]Zhang S.Recent progresses on real-time 3D shape measurement using digital fringe projection techniques[J].Optics and Lasers in Engineering,2010,48(2):149-158.
[65]李中伟,史玉升,钟凯,等.结构光测量技术中的投影仪标定算法[J].光学学报,2009,29(11):3061-3065.Li Z W,Shi Y S,Zhong K,et al.Projector Calibration Algorithm for the Structured Light Measurement Technique[J].Acta Optica Sinica,2009,29(11):3061-3065.
[66]Huang Z,Xi J,Yu Y,et al.Accurate projector calibration based on a new point-to-point mapping relationship between the camera and projector images[J].Applied Optics,2015,54(3):347-356.
[67]Li B,Karpinsky N,Zhang S.Novel calibration method for structured-light system with an out-of-focus projector[J].Applied Optics,2014,53(16):3415-3426.
[68]Merner L,Wang Y,Zhang S.Accurate calibration for3D shape measurement system using a binary defocusing technique[J].Optics and Lasers in Engineering,2013,51(5):514-519.
[69]Wang Y,Cai B,Wang K,et al.Out-of focus color camera calibration with one normal-sized color-coded pattern[J].Optics and Lasers in Engineering,2017,98:17–22.
[70]李万松,苏礼坤,苏显渝.相位检测面形术在大尺度三维面形测量中的应用[J].光学学报,2000,20(6):792-796.Li W S,Shu L K,Shu X Y.Phase-Measuring Profilometry in Big Scale Measurement[J].Acta Optica Sinica,2000,20(6):792-796.
[71]Du H,Wang Z.Three-dimensional shape measurement with an arbitrarily arranged fringe projection profilometry system[J].Optics Letters,2007,32(16):2438-2440.
[72]Xiao Y,Cao Y,Wu Y.Improved algorithm for phaseto-height mapping in phase measuring profilometry[J].Applied Optics,2012,51(8):1149-1155.
[73]盖绍彦.光栅投影三维测量系统的关键技术研究[D].南京:东南大学,2008.
[74]Huang J,Wu Q.A new reconstruction method based on fringe projection of three-dimensional measuring system[J].Optics and Lasers in Engineering,2014,52(1):115-122.
[75]Yu L,Zhang W,Li W,et al.Simplification of high order polynomial calibration model for fringe projection profilometry[J].Measurement Science&Technology,2016,27(10):105202.
[76]Ekstrand L,Zhang S.Autoexposure for threedimensional shape measurement using a digital-lightprocessing projector[J].Optical Engineering,2011,50(12):123603.
[77]Jiang H,Zhao H J,Li X D.High dynamic range fringe acquisition:A novel 3-D scanning technique for highreflective surfaces[J].Optics and Lasers in Engineering,2012,50:1484–1493.
[78]Feng S,Zhang Y,Chen Q,et al.General solution for high dynamic range three-dimensional shape measurement using the fringe projection technique[J].Optics and Lasers in Engineering,2014,59:56-71.
[79]Zhang B,Ouyang Y,Zhang S.High dynamic range saturation intelligence avoidance for three-dimensional shape measurement[C]//15th IEEE/ACM International Symposium on Cluster,Cloud and Grid Computing.Shenzhen,China,2015:981-990.
[80]Song Z,Jiang H,Lin H,et al.A high dynamic range structured light means for the 3D measurement of specular surface[J].Optics and Lasers in Engineering,2017,95:8-16.
[81]Li D,Kofman J.Adaptive fringe-pattern projection for image saturation avoidance in 3D surface-shape measurement[J].Optics Express,2014,22(8):9887-9901.
[82]Lin H,Gao J,Mei Q,et al.Adaptive digital fringe projection technique for high dynamic range threedimensional shape measurement[J].Optics Express,2016,24(7):9887-9901.
[83]Lin H,Gao J,Mei Q,et al.Three-dimensional shape measurement technique for shiny surfaces by adaptive pixel-wise projection intensity adjustment[J].Optics and Lasers in Engineering,2017,91:206-215.
[84]Li S,Da F,Rao L.Novel adaptive fringe projection technique for high dynamic range 3D shape measurement[C]//International Conference on Optical and Photonics Engineering.Asundi,India,2017:104491l.
[85]Chen B,Zhang S.High-quality 3D shape measurement using saturated fringe patterns[J].Optics and Lasers in Engineering,2017,87:83-39.
[86]Jiang C,Bell T,Zhang S.High dynamic range realtime 3D shape measurement[J].2016,24(7):7337-7346.
[87]Wang M,Du G,Zhou C,et al.Enhanced high dynamic range 3D shape measurement based on generalized phase-shifting algorithm[J].Optics Communications,2017,385:43–53.
[88]Hu Q,Harding K G.Shiny parts measurement using color separation[J].Proceedings of SPIE-The International Society for Optical Engineering,2005,6000:125-132.
[89]Feng S,Chen Q,Zuo C,et al.Fast three-dimensional measurements for dynamic scenes with shiny surfaces[J].Optics Communications,2017,382:18-27.
[90]Liu G,Liu X,Feng Q.3D shape measurement of objects with high dynamic range of surface reflectivity[J].Applied Optics,2011,50(23):4557-4565.
[91]Salahieh B,Chen Z,Rodriguez J,et al.Multipolarization fringe projection imaging for high dynamic range objects[J].Optics Express,2014,22(8):10064-71.