A Linear Approach to Camera Calibration Using Concentric Circles

Abstract

In this paper, we present a new algorithm for camera calibration using concentric circles, which is a linear approach. Different from previous methods, we take the projective equations of three-dimensional circles, which include the intrinsic parameter matrix of the camera, as the basis of our calibration approach. According to the special structure of the projective equations in algebra, we can get a linear equation system about the intrinsic parameters. After enough equations constructed, the calibration can be easily finished. Our method needs three images of the two concentric circles at least, and all the five intrinsic parameters can be recovered. Experiments using computer simulated data demonstrate the robustness and accuracy of our method.

Concentric-circle-based camera calibration

“…Step 5: Construct the constraints on the absolute conic from (13) and stack them all into a linear system.…”

“…Ying and Zha [12] suggested a method for camera calibration based on one circle image and one coplanar vanishing point. Recently, Ma et al in [13] and Wu and Liu in [14], respectively, discussed about the use of concentric circle pattern for camera calibration, where the geometrical and projective characters of circles were analysed. A more comprehensive work was done by Wu et al [15], in which all possible distributions of two coplanar circles were investigated.…”