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Phase Error Compensation of Three-Dimensional Reconstruction Combined with Hilbert Transform

作     者:Tao Zhang Jie Shen Shaoen Wu 

作者机构:School of Mechanical EngineeringNorth China University of Water Conservancy and Hydroelectric PowerZhengzhou450045China Department of Computer ScienceBall State UniversityMuncie47306INUSA 

出 版 物:《Computers, Materials & Continua》 (计算机、材料和连续体(英文))

年 卷 期:2021年第68卷第9期

页      面:3121-3131页

核心收录:

学科分类:0831[工学-生物医学工程(可授工学、理学、医学学位)] 0808[工学-电气工程] 07[理学] 0809[工学-电子科学与技术(可授工学、理学学位)] 0805[工学-材料科学与工程(可授工学、理学学位)] 0701[理学-数学] 0801[工学-力学(可授工学、理学学位)] 0812[工学-计算机科学与技术(可授工学、理学学位)] 

基  金:This work is funded by the Scientific and Technological Projects of Henan Province under Grant 152102210115. 

主  题:Three-dimensional reconstruction structured light Hilbert transform phase compensation 

摘      要:Nonlinear response is an important factor affecting the accuracy of three-dimensional image measurement based on the fringe structured light method.A phase compensation algorithm combined with a Hilbert transform is proposed to reduce the phase error caused by the nonlinear response of a digital projector in the three-dimensional measurement system of fringe structured light.According to the analysis of the influence of Gamma distortion on the phase calculation,the algorithm establishes the relationship model between phase error and harmonic coefficient,introduces phase shift to the signal,and keeps the signal amplitude constant while filtering out the DC component.The phase error is converted to the transform domain,and compared with the numeric value in the space domain.The algorithm is combined with a spiral phase function to optimize the Hilbert transform,so as to eliminate external noise,enhance the image quality,and get an accurate phase value.Experimental results show that the proposed method can effectively improve the accuracy and speed of phase measurement.By performing phase error compensation for free-form surface objects,the phase error is reduced by about 26%,and about 27%of the image reconstruction time is saved,which further demonstrates the feasibility and effectiveness of the method.

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