B-spline Surface Reconstruction by Inverse Subdivisions

This paper presents a method to reconstruct a B-spline surface from a quadrangular mesh, using an inverse Catmull-Clark subdivision. We want to minimize the surface contraction due to the approximating subdivision scheme. We introduce geometrical operations which minimize the impact of the subdivision approximation and can be used in the parametric surface reconstruction. The quality of the method is evaluated by criteria of distances, curvatures or computing time on experimental results.