条纹投影法中考虑伽马非线性影响的相移编码去包裹方法  

Phase-shift encoded unwrapping method considering the Gamma nonlinear influence in fringe projection profilometry

作　　者：刘达 雷振坤[1] 姜昊 白瑞祥[1] LIU Da;LEI Zhenkun;JIANG Hao;BAI Ruixiang(State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116024,Liaoning,China;School of Materials Science and Engineering,Dalian University of Technology,Dalian 116024,Liaoning,China)

机构地区：[1]工业装备结构分析国家重点实验室,大连理工大学工程力学系,辽宁大连116024 [2]大连理工大学材料科学与工程学院,辽宁大连116024

出　　处：《实验力学》2021年第3期287-298,共12页Journal of Experimental Mechanics

基　　金：国家自然科学基金(11772081,11972106)资助。

摘　　要：条纹形貌测量方法中广泛存在相位去包裹问题,相移编码去包裹方法兼顾了时间类方法逐点分析的鲁棒性和空间类方法的高效性,但是容易受到投影仪的伽马非线性影响。本文通过使用有限谐波模型近似非线性影响下的条纹图像,得到了一种考虑非线性影响的相移编码去包裹方法,在不增加编码图像数量的条件下能稳健地实现不连续物体的形貌测量,而且有效抑制了非线性影响造成的相位去包裹误差。仿真分析和实验结果表明在非线性影响下本文方法相比原相移编码方法显著减少了去包裹误差,证实了所提出的相移编码去包裹方法的有效性。Phase unwrapping is a widespread problem fringe projected profilometry methods.The phase-shifting encoding unwrapping method owns the robustness of point-to-point analysis of time-based methods and the efficiency of space-based methods,but the Gamma nonlinear effects from projectors constantly exist.In this work,an improved phase-shifting encoding unwrapping method is proposed using the finite harmonic model to approximate the fringe images under the nonlinear effects.The improved unwrapping method can not only measure the discontinuous objects stably without increasing the number of encoding fringes,but also effectively suppress the phase unwrapping errors caused by the nonlinear effects.Simulation analysis and experimental results show that the proposed method significantly suppresses the unwrapping errors compared with the original phase-shift encoding unwrapping method under the nonlinear effects,verifying the proposed phase-shift encoding unwrapping method.

关 键 词：非线性影响 相移编码去包裹 条纹投影法 形貌测量 

分 类 号：O348.1[理学—固体力学] O438[理学—力学]