For line drawing vectorization, an important step is to change the original data into mathematical representations/expressions. In previous work, most methods used rational Bezier curves or B-Splines to fit the data and achieve high quality. However, these curves are complex for users to modify the shape. Also, we think using such difficult curve equations is unnecessary for line drawing vectorization. In this paper, we propose a new method that can fit a long curve using several cubic Bezier curves, and the G1 continuity is maintained between adjacent curves.