We discuss Kriging Interpolation on high-performance computers as a method for spatial data interpolation. We analyse algorithms for implementing Kriging on high-performance and distributed architectures. In addition to a number of test problems, we focus on an application of comparing rainfall measurements with satellite imagery. We discuss our hardware and software system and the resulting performance on the basis of the Kriging algorithm complexity. We also discuss our results in relation to selection of an appropriate execution target according to the data parameter .sixes. We consider the implications of providing computational servers for processing data using the data interpolation rnethod we describe. We describe the project context for this work, which involves prototyping a data processing and delivery system making use of on-line, data archives and processing services made available, on-demand using World Wide Web protocols.