An Improved Algorithm for Surface Fitting Based on B Spline Function

Abstract

The B spline function is widely applied for the data processing, such as computer graphics, artificial intelligence and other enginging. In this paper, by using the B spline basic function, an explicit form of 3-order C-B spline basic function is presented based on integral recurrence formula of the C-B spline basic. And an improved algorithm is given for surface fitting combined with least squares theory. The numerical examples indicated that in the case of consistently accuracy, the improved C-B spline fitting algorithm can save as 70% computing time as the B spline fit algorithm at least.