Abstract
In view of the problem of “jumping points” in the phase unwrapping of the multifrequency heterodyne principle, this paper proposes a novel method to improve the multifrequency heterodyne. By solving the root-mean-square error of the original frequency function, it includes the relationship between the error and the adjacent phase in the condition of constrained phase unwrapping, and it compensates phase ±2π of the skip point. To ensure the accuracy of phase unwrapping, the function with a “jump point” after each phase unwrapping and the absolute phase curve of the principal value function are used to establish the threshold judgment model of the least square method, and the initial phase unwrapping of the principal value function with different frequencies is carried out continuously. The simulation analysis of phase compensation with the four-step phase-shifting method shows that the error is reduced to 36% under the set environment. The experimental result of 3D reconstruction by measuring the flatness of the plate shows that the error decreases by 41% after phase compensation compared with before phase compensation. The three-dimensional reconstruction experiment of pitch measurement with a nut shows that the nut after phase compensation is smooth without noise, and the pitch error is 0.033 mm, which verified the method is workable and effective.
Highlights
Based on triangulation, the structured light threedimensional measurement method has been widely used in various fields due to its high-precision and noncontact measurement [1,2,3]
The second part of this paper involves the description of the principle of multifrequency heterodyne phase unwrapping; the third part is a novel method of phase compensation; we divide the fourth part into simulation verification of this method and experimental verification of the feasibility of this method; the fifth part is the summary
To eliminate the jumping error in the process of phase unwrapping, this paper proposes a novel method of multifrequency heterodyne phase compensation, which solves the problem of “jumping points” in the actual situation
Summary
The structured light threedimensional measurement method has been widely used in various fields due to its high-precision and noncontact measurement [1,2,3]. If the error is greater than the set value, the error is taken as the constraint condition for phase unwrapping again until the threshold condition is met In this way, the jumping error is eliminated when the phase of the initial principal value function of different frequencies is unwrapped. Compared with single-frequency wrapping phase error compensation, the multifrequency heterodyne method is more fault-tolerant and accurate in 3D reconstruction of objects because of the independent phase unwrapping process of various frequencies. The second part of this paper involves the description of the principle of multifrequency heterodyne phase unwrapping; the third part is a novel method of phase compensation; we divide the fourth part into simulation verification of this method and experimental verification of the feasibility of this method; the fifth part is the summary
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