Interpolation of track data with radial basis methods

Abstract

The multiquadric and thin plate spline radial basis methods, together with the triangle-based minimum norm network algorithm and the modified quadratic Shepards' method, are applied to various sets of data that are sampled densely along tracks in the plane. The effectiveness of these methods on track data has been questioned in the past. We observe that both radial basis methods and the minimum norm network method performed well on smoothly varying track data sets, while the multiquadric method with a small value for the parameter R 2 was the only method that was effective on rapidly varying track data.