基于改进离散余弦最小二乘相位展开法的三维形貌重构
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摘要
相位展开图的质量是光栅投影法中三维重建的重要环节。在对变形条纹进行相位解调后,需要将卷叠的相位在整个区域范围内展开,此环节直接影响被测物的三维重建结果。针对基于离散余弦最小二乘相位展开法在有干扰情况下不能得到正确展开结果的问题,提出利用行列展开法对离散余弦最小二乘法进行改进,减少相位展开过程中误差。仿真和实验结果表明,利用改进余弦离散最小二乘法相位展开提高了相位展开图的质量,对提高三维重建精度具有实际意义。
The quality of phase unwrapping is an important part of 3 Dreconstruction in grating projection.After the phase modulation of the deformed fringes,The folded phase needs to be unwrapped throughout the region,which affects the result of 3 Dreconstruction of the measured object.Aiming at the problem that the phase unwrapping method based on discrete least square cannot get the correct expansion results in the case of interference,so put forward using ranks expansion method to improve the discrete cosine least square method,reducing the error in the process of phase unwrapping.The result of simulation and experimental show that the method improved can raise the quality of phase unwrapping,which is of practical significance to improve the accuracy of 3 Dreconstruction.
The quality of phase unwrapping is an important part of 3 Dreconstruction in grating projection.After the phase modulation of the deformed fringes,The folded phase needs to be unwrapped throughout the region,which affects the result of 3 Dreconstruction of the measured object.Aiming at the problem that the phase unwrapping method based on discrete least square cannot get the correct expansion results in the case of interference,so put forward using ranks expansion method to improve the discrete cosine least square method,reducing the error in the process of phase unwrapping.The result of simulation and experimental show that the method improved can raise the quality of phase unwrapping,which is of practical significance to improve the accuracy of 3 Dreconstruction.
引文
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[2]王华英,刘佐强,廖薇,等.基于最小范数的四种相位解包裹算法比较[J].中国激光,2014,41(2):122-127.
[3]郭媛,陈小天.基于最小二乘相位解包裹改进算法的研究[J].中国激光,2014,41(5):189-194.
[4]郭仁慧,李建欣,朱日宏.基于DCT算法的种子点相位解包算法[J].光学学报,2012,32(2):149-156.
[5]肖丹,陈良洲,干江红.基于数字光栅相移法的三维重构[J].光电技术应用,2011,26(5):17-20.
[6]朱勇建,李安虎,潘卫清,等.结构光测量中快速相位解包裹算法的讨论[J].光子学报,2009,38(1):184-188.
[7]CHEN F,SU X.Phase-unwrapping algorithm for the measurement of 3D object[J].Optik-International Journal for Light and Electron Optics,2012,123(24):2272-2275.
[8]闫钧华,朱可,张婉怡,等.基于显著性图像边缘的全参考图像质量评价[J].仪器仪表学报,2016,37(9):2140-2148.
[9]刘姗姗,郁梅,吕亚奇.基于联合恰可察觉失真的立体图像质量评价[J].电子测量与仪器学报,2015,29(12):1757-1764.
[10]刘锦帆,徐浩煜,梁兴东,等.基于HVS结构相似度的极化SAR图像质量评价方法[J].国外电子测量技术,2015,34(11):19-26.
[11]王晋疆,吴明云,刘阳,等.基于图切割的相位展开[J].光子学报,2012,41(9):1130-1134.
[12]FRANCIS D,TATAM R P.Shearography technology and applications:A review[J].Measurement Science and Technology,2010,21(10):102001-102007.
[13]郭俊,王刚,孙杰,等.四步数字相移全息干涉术三维变形测量[J].仪器仪表学报,2011,32(12):2808-2813.
[14]JANG W.Structured-light stereo:Comparative analysis and integration of structured-light and active stereo for measuring dynamic shape[J].Optics and Lasers in Engineering,2013,51(11):1255-1264.
[15]肖志勇.基于数字投影的三维形貌测量系统的实现[J].通信技术,2011,44(2):112-114.