A New Non-Linear Algorithm for 3D Reconstruction from Straight-line Optical Flow

Abstract

This paper presents a new mathematical definition of straight-line optical flow. By using 21 straight-line optical flows in 3 consecutive image frames, a set of equations about 3D motion parameters are established to obtain 12 motion parameters of 3D object and coordinates of the 3D straight line. Usually, it is difficult to find the 21 straight lines on correspondence. In this paper, a minimum of 6 straight-line optical flows in 3 consecutive image frames is required to obtain 12 motion parameters of 3D object and coordinates of the 3D straight line, by solving non-linear equations. With the parameters and coordinates a 3D scene can be reconstructed.