Shapes modeling of 3D objects based on a hybrid representation using extended B-spline surface model

This paper presents a method for shapes modeling of 3D objects using a B-spline surface model based on a projection expression. The surface model is locally defined on each patch that is effectively arranged depending on object shapes. In order to assure the continuity of the resultant surface, a NURBS (non-uniform rational B-splines) surface with embedding functions is employed. Consequently, this model can be considered as a hybrid model that consists of polygon patches and NURBS surfaces. In order to estimate the surface function, a regularization problem is solved by an iterative algorithm. In the algorithm, since the domains where the surface has to be estimated are restricted to the only error patches, the computation time can be reduced. However, the accuracy of the estimation is never inferior since a subdivision operation of NURBS is employed for the other domains.