A linear metric reconstruction by complex Eigen-Decomposition

摘要

This paper proposes a linear algorithm for met- ric reconstruction from projective reconstruction. Metric recon- struction problem is equivalent to estimating the projective trans- or mation matrix that converts projective reconstruction to Eu- clidean reconstruction. We build a quadratic form from dual absolute conic projection equation with respect to the elements of the transformation matrix. The matrix of quadratic form of rank 2 is then eigen-decomposed to produce a linear estimate. The algorithm is applied to three different sets of real data and The results show a feasibility of the algorithm.