What are the most sophisticated methods for interpolating a scalar field say Electric or Magnetic Field on a 3-D grid?
I have scalar data on a meshgrid with equal spacing. I would like to use an interpolating method to interpolate those values onto random points I select on the same grid. I think my best bet is using tricubic splines. Am I right? Some of the scalars might not be linear with others being linear though. Any guidance would be appreciated.