  The three-dimensional reconstruction of scenes from multiple views has made
impressive strides in recent years, chiefly by methods correlating isolated
feature points, intensities, or curvilinear structure. In the general setting,
i.e., without requiring controlled acquisition, limited number of objects,
abundant patterns on objects, or object curves to follow particular models, the
majority of these methods produce unorganized point clouds, meshes, or voxel
representations of the reconstructed scene, with some exceptions producing 3D
drawings as networks of curves. Many applications, e.g., robotics, urban
planning, industrial design, and hard surface modeling, however, require
structured representations which make explicit 3D curves, surfaces, and their
spatial relationships. Reconstructing surface representations can now be
constrained by the 3D drawing acting like a scaffold to hang on the computed
representations, leading to increased robustness and quality of reconstruction.
This paper presents one way of completing such 3D drawings with surface
reconstructions, by exploring occlusion reasoning through lofting algorithms.
