Monocular template-based reconstruction of inextensible surfaces

We present a monocular 3D reconstruction algorithm for inextensible deformable surfaces. It is based on point correspondences between the actual image and a template. Since the surface is inextensible, its deformations are isometric to the template, for which the surface shape is known. We exploit the underlying distance constraints to recover the 3D shape. Though these constraints have already been investigated in the literature, we propose a new way to handle them. As opposed to previous methods, ours does not require a known initial deformation. Spatial and temporal smoothness priors are easily incorporated. The reconstruction can be used for 3D augmented reality purposes thanks to a fast implementation. We report results on synthetic and real data. Some of them are faced to stereo-based 3D reconstructions to demonstrate the efficiency of our method.