Method to Interpolate Scattered Rainfall Data Using the Thin Plate Spline, B-Spline and Energy Fairing

This paper aims at constructing a smooth surface using scattered rainfall data to gives us a visual distribution of rainfall. A grid is superimposed on the map within the data boundary, and thin plate spline (TPS) method is used to interpolate rainfall data to obtain the values of the grid points. Due to the irregularity of the data boundary, the grid has to be divided into several small regular grids then B-Spline is used to interpolate these grid points to construct surfaces. Finally an energy method is used to join these surfaces together, and it gives us the smoothest joined surfaces in vision.