Direct Camera Calibration Using Two Concentric Circles from a Single View

This paper describes a new camera calibration method based on ellipses properties. We demonstrate that the calibration is possible using one view of two concentric circles of known radii. Based on the estimation of the projected circle centers and on the ellipses properties as the perspective projection of circles, our algorithm estimates both the focal length and the pose and orientation of the camera. We validate the performances of our algorithm using both synthetic and real images. The use of circles greatly simplifies the calibration problem. A noise analysis is also made to compare the accuracy of the results with another well-known calibration method. This calibration method is also well-suited to the 3Dreconstruction problem from an image sequence of an object placed on a turn-table.