In this article the general approach for the three-dimensional surface reconstruction is examined. Also, the registration of three-dimensional surfaces is considered. The process of converting a three-dimensional model from a triangular mesh into a point cloud based on the generation of a random point using the principle of barycentric coordinates was applied. Based on the material studied, a complex procedure is proposed, which includes both correction of errors and defects in surfaces obtained as a result of an object scanning, and the registration of these surfaces previously converted into point clouds. On a specific example of the usage of three-dimensional models in dentistry the proposed procedure was tested, results were obtained and conclusions were made.
