Estimating the Motion Direction from Brightness Gradient on Lines

In previous works we combined feature-based techniques and optical flow methods to obtain depth or motion. The expressions relating the brightness constraint to the 3D localization and motion of a line and its projection were established. In this paper, those expressions have been used to obtain the motion direction of a camera when the rotation velocity is bounded, without assumptions about the depth of lines. Our approach exploits the visibility constraint and it allows to make use of a priori information about the scene or the motion. With the proposed technique, the topology (easily extracted in the image) that relates adjacent edge elements into line segments is exploited to better compute camera motion. Besides the motion direction, our method allows also to compute the rotation velocity when lines in prominent 3D directions are available.