Applications Of Analytic Functions In Computer Aided Geometric Design

Application of analytic functions in CAGD (Computer Aided Geometric Design) is a new area of Computer Graphics. Formerly the Bezier curve application, as a result of the function which is not all pass the control points, cause the the deviation of actual production design. Simultaneously the numbers of data increase the computation dimension and the computation quantity, which is inconvenienced to the analysis question. In this thesis, according to the property of analytic functions and Bezier curves, we find a new algorithm that converse between them. First , we change the analytic function into polynomial . Then we can use the equivalence between the Bezier curve and polynomial, transfer the polynomial into Bezier curves, structure the new control points. In this way, we not only guarantee the consistency with the original curve, but also reduced the computation dimension.