Approximate Merging of a Pair of DP Curves

Abstract

This paper deals with the approximate merging problem of two adjacent DP curves with different degrees by a single curve. We first transform the DP curves into the Bézier curves. Then, we merge Bézier curves. Finally, we transform the Bézier curve back into the DP curve. In the end of this paper, numerical examples are provided to demonstrate the validity and efficiency of our algorithms.