Use of Shape-Preserving Interpolation Methods in Surface Modeling

摘要

In many large-scale scientific computations, it is necessary to use surface models based on information provided at only a finite number of points (rather than determined everywhere via an analytic formula). As an example, an equation of state (EOS) table may provide values of pressure (P) as a function of temperature (T) and density (d) for a particular material. These values, while known quite accurately, are typically known only on a rectangular (but generally quite nonuniform) mesh in (T,d)-space. Thus interpolation methods are necessary to completely determine the EOS surface. These methods are discussed with some examples given. (ERA citation 08:042873)