Refining implicit function representations of 3-D scenes

This paper considers the problem of modelling a 3-D scene from calibrated images taken from multiple viewpoints. The initial 3-D information is acquired using probabilistic space carving which provides a voxel representation consistent with the given set of images. The scene is afterwards modelled as an implicit surface using radial basis functions (R BF). The mixture of multiorder basis functions models a smoothed 3-D scene representation while providing compactness. We use correspondences between pairs of image patches in order to update the RBF centres for improving the 3-D scene representation. The RBF centre updating leads to improving the consistency between the 3-D model and the given set of images. The proposed method is applied on a complex 3-D scene displaying various objects.