Out-of-Focus Projector Calibration Method with Distortion Correction on the Projection Plane in the Structured Light Three-Dimensional Measurement System

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 di...

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Main Authors: Jiarui Zhang, Yingjie Zhang, Bo Chen
Format: Article
Language:English
Published: MDPI AG 2017-12-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/17/12/2963
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author Jiarui Zhang
Yingjie Zhang
Bo Chen
author_facet Jiarui Zhang
Yingjie Zhang
Bo Chen
author_sort Jiarui Zhang
collection DOAJ
description 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.
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spelling doaj.art-cd8e537cba4e4028a6a4123d703bd22e2022-12-22T02:56:28ZengMDPI AGSensors1424-82202017-12-011712296310.3390/s17122963s17122963Out-of-Focus Projector Calibration Method with Distortion Correction on the Projection Plane in the Structured Light Three-Dimensional Measurement SystemJiarui Zhang0Yingjie Zhang1Bo Chen2School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, ChinaSchool of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, ChinaSchool of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, Shaanxi, ChinaThe 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.https://www.mdpi.com/1424-8220/17/12/2963calibrationout-of-focus projectordistortion correctionfocal planeprojection plane
spellingShingle Jiarui Zhang
Yingjie Zhang
Bo Chen
Out-of-Focus Projector Calibration Method with Distortion Correction on the Projection Plane in the Structured Light Three-Dimensional Measurement System
Sensors
calibration
out-of-focus projector
distortion correction
focal plane
projection plane
title Out-of-Focus Projector Calibration Method with Distortion Correction on the Projection Plane in the Structured Light Three-Dimensional Measurement System
title_full Out-of-Focus Projector Calibration Method with Distortion Correction on the Projection Plane in the Structured Light Three-Dimensional Measurement System
title_fullStr Out-of-Focus Projector Calibration Method with Distortion Correction on the Projection Plane in the Structured Light Three-Dimensional Measurement System
title_full_unstemmed Out-of-Focus Projector Calibration Method with Distortion Correction on the Projection Plane in the Structured Light Three-Dimensional Measurement System
title_short Out-of-Focus Projector Calibration Method with Distortion Correction on the Projection Plane in the Structured Light Three-Dimensional Measurement System
title_sort out of focus projector calibration method with distortion correction on the projection plane in the structured light three dimensional measurement system
topic calibration
out-of-focus projector
distortion correction
focal plane
projection plane
url https://www.mdpi.com/1424-8220/17/12/2963
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AT yingjiezhang outoffocusprojectorcalibrationmethodwithdistortioncorrectionontheprojectionplaneinthestructuredlightthreedimensionalmeasurementsystem
AT bochen outoffocusprojectorcalibrationmethodwithdistortioncorrectionontheprojectionplaneinthestructuredlightthreedimensionalmeasurementsystem