Novel method of arbitrary topological composite free-form surface reconstruction

The main problems of parametric methods in composite surface reconstruction are analyzed. A novel surface reconstruction scheme of recursive interpolating subdivision is presented to calculate the interpolated vertices from the arbitrary topological initial mesh formed by the discrete measurement points of the physical model. A quad-tree typed data structure is designed to store all the necessary information of subdivision process. The presented examples of complicated surface reconstruction can verify that the parametrization of the discrete measurement points and the surface conjunction between patches which are required in the parametric methods can be avoided. A novel effective approach used for the complicated surface reconstruction is put forward.