Algorithm for reconstructing B-spline surfaces from a triangulation mesh
In this paper an algorithm is presented to reconstruct B-spiine surfaces from a triangulation mesh. The triangulation mesh is first partitioned into patches isomorphic to rectangles by an interactive mean. Each patch is then resampled to be represented in the form of quadrangular grid. Final step is to interpolate grid to reconstruct B-spline surfaces. The main achievement of this paper is in the resampling step that is fundamental to compute the B-spline surfaces. Experiments demonstrate that the algorithm is available to the triangulation meshes with arbitrary topology.