On Calibration and Reconstruction from Planar Curves

We describe in this paper closed-form solutions to the following problems in multi-view geometry of n'th order curves: i recovery of the fundamental matrix from 4 or more conic matches in two views, ii recovery of the homography matrix from a single n'th order n  3 matching curve and, in turn, recovery of the fundamental matrix from two matching n'th order planar curves, and iii 3D reconstruction of a planar algebraic curve from two views. Although some of these problems, notably i and iii, were introduced in the past 15,3 , our derivations are analytic with resulting closed form solutions. We have also conducted synthetic experiments on i and real image experiments on ii and iii with subpixel performance levels, thus demonstrating the practical use of our results.

• Type: Conference
• Year: 2000
• Where: ECCV
• Authors: Jeremy Yermiyahou Kaminski, Amnon Shashua
• Keywords: Computer Vision, ECCV 2000, Fundamental Matrix, Order Planar Curves, Planar Algebraic Curve