In NC machining of sculptured surfaces, the machining efficiency of cu
rvature catering method is much higher than traditional ones using bal
l-ended or drum-shaped tools. However, in order to get the best result
of utilizing curvature catering method, great attentions have to be p
aid to the arragement of tool traces, for the sensitivity of machining
efficiency with respect to feeding direction is much higher than the
traditional ones. A method of generation ''optimal'' tool-path for 5-a
xis NC sculptuted surface milling with the curvature catering method i
s presented in the paper. It consists of four sections; 1) an algorith
m for determining ''optimal'' feeding direction; 2) variable cutter st
ep size algorithm; 3) side step determination; 4) the criteria for fra
ctionalizing a surface. A numerical example is also presented to demon
strate the feasibility of the method.