A new method for planar curves has been developed. Curvature signal is decomposed with wavelet at first, and then select interpolative dots by altering pace, which is used to construct a G2 continuous rational cubic Bezier spline curve. This method can meet the reconstruction request of processing tons of data in reverse engineering, and dispose data with noise directly. Furthermore, by altering pace to select interpolative dots, this method can avoid selecting evil dots to advance the effectiveness. The effectiveness and the adaptability of this method are proved with some examples.