Bezier curve interpolation on road map by uniform, chordal and centripetal parameterization

This paper focuses on reconstructing the road curve by using Bezier curve fitting on a map with the aid of various parameterization approaches. A good fitting requires the Bezier curve fits closely to the road on a map without any major distortion that can be seen visually. Since the Bezier curve does not interpolate its control points, then designers had difficulties in determining the most ideal set of control points that can lead to a desired design. The parameterization method proposed by previous researchers may be very useful since the choice of control points had been automatically generated such that the curve will pass through the selected points on the road curve on a map. Differentparameterization techniques for fitting Bezier curve had been implemented in the perspective of road map fitting. One of the finding is that parameterization does not work well for a higher degree. By increasing control points, the curve is perturbed especially near both ends of the curve. The generated Bezier curve fitting may become worse if the actual road contains a lot of sharp corner.