Skewed Mirror Symmetry for Depth Estimation in 3D Line-Drawings

Abstract

We aim to reconstruct three-dimensional polyhedral solids from axonometric-like line sketches. A new approach is proposed to make use of planes of mirror symmetry detected in sketches. Taking into account mirror symmetry of such polyhedra can significantly improve the reconstruction process. Applying symmetry as a regularity in optimisation-based reconstruction is shown to be adequate by itself, without the need for other inflation techniques or regularities. Furthermore, we show how symmetry can be used to reduce the size of the reconstruction problem, leading to a reduction in computing time.