Pseudo-geometric Formulation for Fitting Equidistant Parallel Lines

Abstract

We present a novel pseudo-geometric formulation for equidistant parallel lines which allows direct linear evaluation against fitted lines in the image space thus providing improved robustness of fit and avoids the need for non-linear optimization. The key idea of our work is to determine an equidistant set of parallel lines which are at minimum orthogonal distance from the edge lines in the image. The comparative results on simulated and real datasets show that a linear solution using the pseudo-geometric formulation is superior to the previous algebraic solution and performs close to the non-linear solution of the true geometric error.