A solution to illumination direction estimation of a shaded image: Genetic algorithm

In oblique shape from shading (SfS), the illumination direction is essential for recovering the 3D surface of a shaded image. On the other hand, fast marching methods (FMM) are SfS algorithms that use the mechanism of wave propagation to reconstruct the surface. In this paper, the estimation of illumination direction is addressed and we model it as an optimization problem. The idea is to minimize the inconsistency of wave propagation of FMM during the reconstruction. As the consistency of wave propagation is a multi-modal function of illumination direction, genetic algorithm (GA) is utilized. The proposed algorithm is examined on four synthetic models and a real world object. The experimental results show that the proposed algorithm is superior to benchmark methods.

Research highlights
► Inconsistent wavefront propagation of fast marching method infers incorrect estimation of illumination direction.
► Illumination direction estimation can be modeled as an optimization problem.
► The problem landscape of illumination direction is multi-modal and hence evolutionary algorithm is a suitable problem solver.