Improved Subdivision and Refinement of Bézier Curves Algorithm

Bezier curves (BC) have been applied to a wide variety of computer-aided geometric design. A major limitation of the classical Bezier curve,is that only global information about its control points (CP) is considered,so there is a large gap between the curve and its control polygon,leading to distortion in shape representation. This paper presents a new method of subdivision and refinement of Bezier Curves,which divide the origin BC into two segments,and move some of its CP towards the control polygon with a flexible parameter,therefore the divided curves can freely close to the control polygon. Because of choosing a appropriate dividing function,the new BC have CN-1 continuity. In the shape descriptor framework,Only the the origon CP and the rate-distortion is saved,without increasing the number of CP. So this method can apply to the BC-based shape representation.