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Conics have been used extensively to help perform camera calibration. In this paper, we present a lesser-known result that conics can also be applied to achieve fast and reliable calibration-free scene analysis. We show that the images of the circular points can be identified by solving the intersection of two imaged coplanar circles under projective transformation and thus metric planar rectification can be achieved. The advantage of this approach is that it eliminates the troublesome camera calibration or vanishing line identification step that underlies many previous approaches and makes the computation more direct and efficient. Computation of the vanishing line becomes a by-product of our method which produces a closed form solution by solving the intersection of two ellipses in the perspective view. Different root configurations are inspected to identify the image of the circular points reliably so that 2D Euclidean measurement can be directly made in the perspective view. Compared with other conic based approaches, our algorithm successfully avoids the calibration process and hence is conceptually intuitive and computationally efficient. The experimental results validate the effectiveness and accuracy of the method.