Abstract

A novel calibration method based on polar coordinate is proposed. The world coordinates are expressed in the form of polar coordinates, which are converted to world coordinates in the calibration process. In the beginning, the calibration points are obtained in polar coordinates. By transformation between polar coordinates and rectangular coordinates, the points turn into form of rectangular coordinates. Then, the points are matched with the corresponding image coordinates. At last, the parameters are obtained by objective function optimization. By the proposed method, the relationships between objects and cameras are expressed in polar coordinates easily. It is suitable for multi-camera calibration. Cameras can be calibrated with fewer points. The calibration images can be positioned according to the location of cameras. The experiment results demonstrate that the proposed method is an efficient calibration method. By the method, cameras are calibrated conveniently with high accuracy.

Highlights

  • With the development of photo-electronics, image processing, information sensing, signal processing, and electronics, digital camera is becoming increasingly relevant in science and technology [1,2,3,4,5,6,7,8,9,10,11,12,13,14]

  • One category of the methods is called coplanar approaches. These methods rely on calibration points, which are on a planar template in a single depth

  • Unlike the traditional methods based on rectangular coordinate system, the calibration board is designed in polar coordinates, and the difficulties in multiple-camera calibration is overcome

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Summary

Introduction

With the development of photo-electronics, image processing, information sensing, signal processing, and electronics, digital camera is becoming increasingly relevant in science and technology [1,2,3,4,5,6,7,8,9,10,11,12,13,14]. These methods rely on calibration points, which are on a planar template in a single depth These approaches are either computationally complex or fail to provide result solutions for one camera parameters or more, e.g., the image center, the scale factor, or lens distortion coefficients[19]. Zhang [23] proposed a flexible calibration method, which only requires a few images of a two-dimensional calibration plate taken from different orientations. The relationship in polar coordinates image is relatively simple, which can be used in the multiple-camera calibration plate. Unlike the traditional methods based on rectangular coordinate system, the calibration board is designed in polar coordinates, and the difficulties in multiple-camera calibration is overcome. The method of this paper is summarized

Methods
Experiment Results
Conclusion
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