Estimating Three-dimensional Motion Parameters Of A Rigid Body Based On Curve Correspondences
Wu Liu, Liu Jian, Wan Faguan, Minghao He · 2005
This paper presents a technique for estimation of 3-D motion parameters from the correspondence of a quadratic curve in two perspective views. Using the relationship between the coefficients of the two quadratic equations which represent the perspective views of a quadratic edge on the object surface, we can completely determine the rotation matrix and the translation vector of the moving object. This paper focusses on a theorem that reconstruct the perpendicular projection of 3-d planar quadratic curve from its perspective projections.