Abstract
This paper presents a method for shapes modeling of 3-D 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, 4th order NURBS surfaces with embedding functions are employed. Consequently, this model can be considered as a hybrid model that is consist 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 only the error patches, the computation time can be reduced. However, the accuracy of estimation is never inferior since a subdivision operation of NURBS is employed for the other domains. Through several experiments using real data of range image, the effectiveness of the proposed method has been confirmed.
