Abstract
Although such functions as Bezier, B-Spline and NURBS are widely used in Computer Graphics for generating any freeformed surfaces, they are not necessarily appropriate for describing the existing surfaces; They need structured data sets according to a grid. Their mathematical structures make it almost impossible to obtain entirely smooth surface. To overcome these problems, an application of parametrized polynomial functions was proposed in this study. By using our parametrized polynomial, the artificial knee joint surface was described mathematically and the results were fully compared with those from B-Spline with respect to accuracy and smoothness. Computer generated images were made to demonstrate that our parametrized polynomial was superior to the B-Spline.
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