Notice of RetractionA novel BEZier curve with multiple shape parameters
The construction of Bezier curves with shape control parameters is one of the most popular areas in computer aided geometric design. A class of polynomial basis functions of n degrees with n 1 shape parameters are presented which are the extension of the Bernstein basis functions of n degrees. Based on the presented functions the polynomial curves are constructed. The properties of the generated curves are similar with the n degree Bezier curves. The relationship between fixed point on the curve and shape parameters is given, by changing the shape parameter value, the shape of the generated curve can adjust, the presented method is very useful for the curve design.
2010 3rd International Conference on Computer Science and Information Technology