The geometry of cutting flutes and the surfaces of end mills is one of the crucial parameters
affecting the quality of the machining in the case of end milling. These are usually
represented by two-dimensional models. This paper describes in detail the methodology to
model the geometry of a flat end mill in terms of three-dimensional parameters. The
geometric definition of the end mill is developed in terms of surface patches; flutes as
helicoidal surfaces, the shank as a surface of revolution and the blending surfaces as …