Analysis and simplification of lens distortion model for the scheimpflug imaging system calibration

Abstract The Scheimpflug imaging system has been widely applied in many fields, such as 3D reconstruction and tomographic PIV. Modeling and calibration are essential steps for further analysis of the Scheimpflug imaging system. In this paper, lens distortion model of the Scheimpflug imaging system is established and simplified for calibration. Firstly, lens distortion model of the Scheimpflug imaging system is analyzed and established, which is proved to be different from the conventional imaging system. Secondly, the established lens distortion model is simplified to reduce the complexity of the calibration for the infinite parameters. The application condition of the simplified lens distortion model is also analyzed. Finally, calibration experiment is implemented for the Scheimpflug imaging system with the simplified lens distortion model. The high calibration accuracy verifies that the simplified lens distortion model is feasible.

[1]  Peng Zhang,et al.  A Novel Line Scan Camera Calibration Technique With an Auxiliary Frame Camera , 2013, IEEE Transactions on Instrumentation and Measurement.

[2]  Julio Soria,et al.  Stereoscopic PIV measurements of a turbulent boundary layer with a large spatial dynamic range , 2008 .

[3]  Frédéric Champagnat,et al.  Another look at volume self-calibration: calibration and self-calibration within a pinhole model of Scheimpflug cameras , 2016 .

[4]  Qiang Gao,et al.  Laser stripe extraction method in industrial environments utilizing self-adaptive convolution technique. , 2017, Applied optics.

[5]  Xiang Peng,et al.  Distortion correction for microscopic fringe projection system with Scheimpflug telecentric lens. , 2015, Applied optics.

[6]  Haibo Liu,et al.  Review of Calibration Methods for Scheimpflug Camera , 2018, J. Sensors.

[7]  Janne Heikkilä,et al.  Geometric Camera Calibration Using Circular Control Points , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[8]  Toru Yoshizawa,et al.  Compact camera system for 3D profile measurement , 2009, International Conference on Optical Instruments and Technology.

[9]  Lu Lu,et al.  High precision camera calibration in vision measurement , 2007 .

[10]  Zhengyou Zhang,et al.  A Flexible New Technique for Camera Calibration , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Yongkang Guo,et al.  Large depth-of-view portable three-dimensional laser scanner and its segmental calibration for robot vision , 2007 .

[12]  L. Grammatikopoulos,et al.  An automatic approach for camera calibration from vanishing points , 2007 .

[13]  A. Mikš,et al.  Dependence of camera lens induced radial distortion and circle of confusion on object position , 2012 .

[14]  Jianhua Wang,et al.  A new calibration model of camera lens distortion , 2008, Pattern Recognit..

[15]  Shijie Feng,et al.  High-speed real-time 3-D coordinates measurement based on fringe projection profilometry considering camera lens distortion , 2014 .

[16]  Eduard Reithmeier,et al.  Evaluation of system models for an endoscopic fringe projection system , 2015 .

[17]  José Luis Lázaro,et al.  Calibration of a High-Accuracy 3-D Coordinate Measurement Sensor Based on Laser Beam and CMOS Camera , 2009, IEEE Transactions on Instrumentation and Measurement.

[18]  Antonin Miks,et al.  Analysis of imaging for laser triangulation sensors under Scheimpflug rule. , 2013, Optics express.

[19]  Jean-Marc Lavest,et al.  Self-calibration of Scheimpflug cameras: an easy protocol , 2007 .

[20]  Ming Chen,et al.  Calibration of a multiple axes 3-D laser scanning system consisting of robot, portable laser scanner and turntable , 2011 .