Effective CG-merging of Two Bézier Curves by Matrix Computation
نویسنده
چکیده
The merging of polynomial curves is frequently required when modeling the complex shape in geometric design and related applications. In this paper, we present an effective method for the CGmerging of two Bézier curves by using matrix computation. By minimizing the distance function defined in terms of control points, the optimal merged curve is obtained and expressed in the matrix form. Due to the two variables available from the conditions of CG-continuity at the endpoints, the merged curve in this way is clearly better than that obtained by the C-merging. Numerical examples are provided to demonstrate the effectiveness of the proposed method.
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