A Review of Geometry Recovery from a Single Image Focusing on Curved Object Reconstruction

Single view reconstruction approaches infer the structure of 3D objects or scenes from 2D images. This is an inherently ill-posed problem. An abundance of reconstruction approaches has been proposed in the literature, which can be characterized by the additional assumptions they impose to make the reconstruction feasible. These assumptions are either formulated by restrictions on the reconstructable object domain, by geometric or learned shape priors or by requiring user input. In this chapter, we examine a representative set of state-of-the-art reconstruction approaches, which are applicable to real-world images. We classify the approaches according to their reconstruction objective and compare them based on a variety of important criteria. Finally, we show experimental comparisons for five curved object reconstruction approaches.