  A fractal surface is a set which is a graph of a bivariate continuous
function. In the construction of fractal surfaces using IFS, vertical scaling
factors in IFS are important one which characterizes a fractal feature of
surfaces constructed. We construct IFS with function vertical scaling factors
which are 0 on the boundaries of a rectangular grid using arbitrary data set on
a rectangular grid and give a condition for an attractor of the IFS constructed
being a surface. Finally, lower and upper bounds of Box-counting dimension of
the constructed surface are estimated.
