Abstract: NURBS curve and surface fairing treatment is a very important issue in
CAD/CAM. On the basis of a study of several common methods in NURBS surface fairing,
aiming at the insufficiency of the existing fairing algorithm in multi-scale features coexisting
surface fairing, a thought of combining anisotropic wavelet into surface multi-resolution analysis
is put forward by use of the anisotropic wavelet’ advantage in the expression of high-dimensional
information, which can be applied into NURBS surface fairing to achieve the preservation of
surface features.

Key words: multi-resolution analysis, anisotropic wavelet, NURBS surface, fairing