Tension Spline Fitting with Bezier Curve

In geographical information system, geographical curves expressed by curve will become a trend. In this paper, based on the study of features of the tension spline and Bezier curve, it is proposed for geographical curve a new method and corresponding computing formula. In the method, we first fit the geographical curve by the tension spline, and the tension spline is divided by characteristic points, which finally is fitted by cubic Bezier curve piece by piece to a complete Bezier curve. Experiments show the different between fitted cubic Bezier curve and tension spline is small. The geographical curves expressed by the method express effectively the geographical features, especially large deflection geographical curves, and are convenient for editing and meet the needs of standardized metafile.