Proceed with smooth character guide line,curvi li near curvature calculation formula of thrice Beta spline construction was educed and used in the system of actual mutual design,and the result was compared with curve smooth character of thrice B spline.

The independent variety of shape controls parameters in Beta spline and the matching disciplinarian of parameters were studied.

Analysis and Application of the Parameters in Beta-spline;

Beta-spline and B-spline are used to lofting the transverse section curves and waterlines,reads the hull data from Access spreadsheet,checks the fairness of constructed spline curves,and makes revision to the position of certain data points,to improve the over all fairness of hull shape.

If the matrix is nonsingular, lower triangular and totally positive, there exists Beta-like splines having minimal compact supports.

In this paper,image edge detection in video tracking is put forward based on Beta-spline function.

In this paper,the conception of rational Beta-splines surface modeling is introduced according to real application system.