The creation of a web-accessible JAVA programme allows users to create an arbitrary nodal
set (convex or non-convex) in one, two or three dimensions by inputting the co-ordinates of its
nodes, with the aid of a direct data entry form or a point-and-click interface. Options such as P
(polygon), Q (quadtree grid), and R (random nodes in a unit square) are indicated in Figure 2.
This programme displays a visualization of the basis function associated with a node and specific
formulation, both picked by the user. Available formulations in two dimensions include Delaunay
and polygonal interpolation schemes,MLS, and maximum-entropy approximations using a uniform
prior distribution (lead to global basis functions) and a compactly supported prior distribution (lead
to compactly supported basis functions). In one dimension, individual basis functions or all the
basis functions on a grid can be displayed. Two-dimensional basis functions may be dislayed as
contour plots or surface plots. The plots are generated by dividing the polygonal element into
triangles and then dividing the triangles recursively. The user can calculate the value of the basis