Directed at special surface machining, the paper offers the introduction of the concept of slant equidistant surface, the analysis of the properties and the establishment of mathematical models using conic tool to grind special surface.

• 针对异型曲面的加工问题,引入了斜等距曲面的概念,并对其性质进行了分析,建立了锥状刀具磨削异型曲面的数学模型。