Smooth Pycnophylactic Interpolation for Geographical Regions

摘要: Abstract Census enumerations are usually packaged in irregularly shaped geographical regions. Interior values can be interpolated for such regions, without specification of “control points,” by using an analogy to elliptical partial differential equations. A solution procedure is suggested, finite difference methods with classical boundary conditions. In order estimate densities, additional nonnegativity condition required. Smooth contour maps, which satisfy the volume preserving and constraints, illustrate method actual data. It suggested that may used convert observations from one bureaucratic partitioning a area another.