Abstract

The three-dimensional measurement system with a binary defocusing technique is widely applied in diverse fields. The measurement accuracy is mainly determined by out-of-focus projector calibration accuracy. In this paper, a high-precision out-of-focus projector calibration method that is based on distortion correction on the projection plane and nonlinear optimization algorithm is proposed. To this end, the paper experimentally presents the principle that the projector has noticeable distortions outside its focus plane. In terms of this principle, the proposed method uses a high-order radial and tangential lens distortion representation on the projection plane to correct the calibration residuals caused by projection distortion. The final accuracy parameters of out-of-focus projector were obtained using a nonlinear optimization algorithm with good initial values, which were provided by coarsely calibrating the parameters of the out-of-focus projector on the focal and projection planes. Finally, the experimental results demonstrated that the proposed method can accuracy calibrate an out-of-focus projector, regardless of the amount of defocusing.

Highlights

  • Optic three-dimensional (3D) shape measurement has been wildly studied and applied due to its speed, accuracy, and flexibility

  • In order to improve the calibration precision, this paper proposes an out-of-focus projector projector calibration method that is based nonlinear optimization with the with lens proposes an out-of-focus calibration method that on is based on nonlinear optimization distortion correction on the projection plane. plane

  • This paper proposes an accurate and systematic calibration method to calibrate an out-of-focus

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Summary

Introduction

Optic three-dimensional (3D) shape measurement has been wildly studied and applied due to its speed, accuracy, and flexibility. Merner et al [28] attempted to calibrate the structured light system with an out-of-focus projector, in which the pixels z were a low-order polynomial function of absolute phase, and the ( x, y) coordinates were calculated from the camera calibration with a known z value. In this method, high depth accuracy was achieved, but the spatial precision was limited.

Camera
Light Encoding
Digital Binary Defocusing Technique
Out-of-Focus Projector Calibration
Out-of-Focus Projector Model
Re-projectionerrors errors under different defocusing degrees:degrees:
Phase-Domain Invariant Mapping
Out-of-Focus ProjectorCalibration Process
Section 3.1
Method
21. Measurement
Findings
Conclusions
Full Text
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