Abstract
In this paper, we present a new interpolation method expressing an arbitrary discontinuous curve with a high accuracy based on the B-Spline interpolation. We call it “The Heaviside B-Spline interpolation method”. The idea of this method is to use the Heaviside step function to construct a high accurate discontinuous spline function being analogous to the enrichment of displacement discontinuous modeling, known as the eXtended FEM. The Heaviside B-spline interpolation method enables interpolating jump or discontinuous data in 1-D or 2-D plane by using a least square method : The method interpolates “The Heaviside Step function” with a high accuracy without Gibbs's phenomena. We obtain excellent results for several examples in which the data is given by a discontinuous function.
