Abstract

Lens distortion is closely related to the spatial position of depth of field (DoF), especially in close-range photography. The accurate characterization and precise calibration of DoF-dependent distortion are very important to improve the accuracy of close-range vision measurements. In this paper, to meet the need of short-distance and small-focal-length photography, a DoF-dependent and equal-partition based lens distortion modeling and calibration method is proposed. Firstly, considering the direction along the optical axis, a DoF-dependent yet focusing-state-independent distortion model is proposed. By this method, manual adjustment of the focus and zoom rings is avoided, thus eliminating human errors. Secondly, considering the direction perpendicular to the optical axis, to solve the problem of insufficient distortion representations caused by using only one set of coefficients, a 2D-to-3D equal-increment partitioning method for lens distortion is proposed. Accurate characterization of DoF-dependent distortion is thus realized by fusing the distortion partitioning method and the DoF distortion model. Lastly, a calibration control field is designed. After extracting line segments within a partition, the de-coupling calibration of distortion parameters and other camera model parameters is realized. Experiment results shows that the maximum/average projection and angular reconstruction errors of equal-increment partition based DoF distortion model are 0.11 pixels/0.05 pixels and 0.013°/0.011°, respectively. This demonstrates the validity of the lens distortion model and calibration method proposed in this paper.

Highlights

  • Vision measurement is a subject that allows quantitative perception of scene information by combining image processing with calibrated camera parameters

  • The lens distortion is closely related to the depth of field (DoF), which refers to the distance between the nearest and the farthest objects that are in acceptably sharp focus in an image

  • DoF distortion model in the vision measurement of short-distance and small-focal-length settings, a DoF-dependent yet focusing-state-independent distortion model is proposed in this paper

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Summary

Introduction

Vision measurement is a subject that allows quantitative perception of scene information by combining image processing with calibrated camera parameters. For medium- or high-accuracy applications, close-range imaging parameters (e.g., short object distance (

Focusing-State-Independent DoF Distortion Model
Pinhole Camera Model with Distortion
Schematic diagram of camera model andand lenslens distortion:
Radial Distortion Model
Decentering Distortion
DoF-Dependent Radial Distortion Model
DoF-Dependent Decentering Distortion Model
Equal-Increment Partition Based DoF Distortion Model
Equal-Increment Based Distortion Partitioning Method
Calibration Method for Camera Parameters
Independent Distortion Calibration Method Based on Linear Conformation
Image Processing and Camera Calibration
Experimental
Experimental Verification of the 2D Distortion Partitioning Method
10. Distortion
Conclusions
Full Text
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