Using Coplanar Circles to Perform Calibration-Free Planar Scene Analysis under a Perspective View
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part I
Metric Rectification to Estimate the Aspect Ratio of Camera-Captured Document Images
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part II
Plane metric rectification from a single view of multiple coplanar circles
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Video mensuration using a stationary camera
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
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A new metric rectification method for planar homography is proposed based on a closed form algebraic solution of the image of the absolute conic on the image plane.Our solution allows shape measurement to be made directly on the image plane without explicitly computing the homography matrix or recoreringing the rectified image.We show that the invariance property of the relationship between the circular points and the absolute conic under projective transformation can effectively do planar metric rectification.In this approach, the image of the absolute conic is solved algebraically to achieve metric rectification based only on the vanishing line and the image of one arbitrary circle on the world plane extracted automatically from the image plane.The process of conic solving introduces no errors and the performance of the method is mainly dependent on the robustness of the straight line and ellipse fitting processes.The fitting scheme suggested in the paper is robust and give good results in most cases.