A Partial Approximation Shepard Method Based on Cardinal Spline About Messy Data

Abstract:

      With regards to Shepard method, in the paper, we present a better one based on partial approximation to fit messy data. In the method, partial cubic cardinal spline function is chosen as weight function φ(x) in the Shepard formula which is φ(x)∈C² and has good attenuation characteristics. So the traditional Shepard method is improved and the better results can be achieved in practical applications.