A smooth surface interpolation to 3D triangulations

We present a general method for automatic reconstruction of accurate, concise surface models from scattered range data in R3 based on Clough–Tocher split scheme. The method can be used in a variety of applications such as reverse engineering—the automatic generation of CAD models from physical objects. An advantage of the method is its ability to model surfaces of arbitrary topological type and it is easy to implement, and it can be fit to scattered range data effectively. An algorithm is presented. Some examples are given.