Approximate merging of multiple Bézier segments

This paper deals with the approximate merging problem of multiple adjacent Bézier curves with different degrees by a single Bézier curve, which is a frequently seen problem in modeling. The unified matrix representation for precise merging is presented and the approximate merging curve is further derived based on matrix operation. Continuity at the endpoints of curves is also discussed in the merging process. Examples show that the method in this paper achieves satisfying merging results.