Shape from Angle Regularity

This paper deals with automatic Single View Reconstruction (SVR) of multi-planar scenes characterized by a profusion of straight lines and mutually orthogonal line-pairs. We provide a new shape-from-X constraint based on this regularity of angles between line-pairs in manmade scenes. First, we show how the presence of such regular angles can be used for 2D rectification of an image of a plane. Further, we propose an automatic SVR method assuming there are enough orthogonal line-pairs available on each plane. This angle regularity is only imposed on physically intersecting line-pairs, making it a local constraint. Unlike earlier literature, our approach does not make restrictive assumptions about the orientation of the planes or the camera and works for both indoor and outdoor scenes. Results are shown on challenging images which would be difficult to reconstruct for existing automatic SVR algorithms.