We discuss methods of exercising local control over surfaces that are
generated as solutions of partial differential equations (PDEs). By ex
amining the way in which the choice of the PDE influences the form of
the solution, we show how required properties of a surface may be real
ised by using a suitably chosen equation. Also, we discuss the way in
which a B-spline surface may be grafted on to the PDE surface to achie
ve small scale changes.