无相位去包裹的微分法三维形貌测量
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(1.山东大学 物理学院,山东 济南 250100; 2.大连理工大学 工程力学系,辽宁 大连 116024)

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周灿林(1966-),男,工学博士,副教授,主要从事三维形 貌测量、数字图像处理、光测实验力学方法等方面的研究.

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国家自然科学基金(11172054,11472070)资助项目 (1.山东大学 物理学院,山东 济南 250100; 2.大连理工大学 工程力学系,辽宁 大连 116024)


Differential 3D shape measurement without phase unwrapping
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(1.School of Physics,Shandong University,Jinan 250100,China; 2.Department of En gineering Mechanics,Dalian University of Technology,Dalian 116024,China)

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    摘要:

    提出了一种无需相位去包裹的微分算法,应用于 投影栅三维形貌测量。首先由计算机设计并生成 4幅四步相移正弦条纹图,利用DLP投影仪将其投影到待测物体上;然后由CCD相机采集受待 测物体面型调 制的变形光栅条纹图。再利用4幅四步相移变形条纹图,经数值运算求得沿水平和垂直方 向上待测物体 相位的偏导数,而相位偏导数的积分过程相当于求解泊松方程,于是利用离散余弦变换(DCT )求解泊松方程就可得 到待测物体三维形貌对应的相位数据,从而重构待测物体的三维形貌。测量结果表明,相位 解调的 标准差小于0.031rad,验证了本文方法的有 效性。

    Abstract:

    A differential three-dimensional (3D) shape measurement method without phase unwrapping is proposed and applied for profilometry based on fringe projec tion.Firstly,four frames of phase-shifting sinusoidal fringes designed and generated by computer are projected onto the tested object surface by a digital-light-processing (DLP) projector.Then a CCD camera captures four frames of fringe patterns modulated by the tested object′s surfac e shape.Two partial derivatives of the phase of tested object with respect to horizontal and vertical spatial coordinates are derived from four frames of phase-shifted fringe patterns by nu merical calculation of the intensity distribution patterns.Thus,integrating the partia l derivatives of the phase is equivalent to finding the solution of the Poisson′s equation.Di screte cosine transform (DCT) is introduced to solve Poisson′s equation with the Neum ann boundary condition.The 3D surface information of the tested object is reconstructed compl etely.Finally,the experimental evaluation is conducted to prove the validity of the proposed method.The standa rd deviation of phase demodulation is less than 0.0317rad,which shows tha t the method has high precision.The feasibility of the proposed algorithm is also demonstrated by the experimental r esults.

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周灿林,司书春,李辉,雷振坤.无相位去包裹的微分法三维形貌测量[J].光电子激光,2015,26(8):1549~1552

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  • 收稿日期:2015-05-07
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  • 在线发布日期: 2015-09-22
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