MULTIVARIATE INTERPOLATION USING POLYHARMONIC SPLINES

Data measuring and further processing is the fundamental activity in all branches of science technology. interpolation has been an important part computational mathematics for a long time. In paper, we are concerned with by polyharmonic splines arbitrary dimension. We show connection this radial basis functions smooth generating functions, which provide means minimizing L2 norm chosen derivatives interpolant. This can be useful 2D 3D, e.g., construction geographic information systems or computer aided geometric design. prove properties piecewise spline interpolant present simple 1D example to illustratethem.