In CAGD a typical problem is that of digitising errors: data points ha
ve been obtained from some digitising device, and a fair surface is so
ught through them. In many cases, however, the digitised data are inac
curate. There are different ways of solving this problem. We propose t
o consider the surface as a plate and to minimise its potential energy
via finite elements. We use comonotone Bezier splines as ansatz funct
ions. The background for our forgoing is based on the method of finite
elements.