The mathematic-model of cutting contrail while the cutting-tool machining is given, at the same time the similar arithmetic of surface topography machined by the ball-end milling cutter is given.

• 给出在空间三维切削时刀具切削刃的运动轨迹数学模型,并借助该模型给出球头刀切削半圆弧工件表面形貌的仿真算法。