Profiling of revolution surfaces tool for generation of helical surfaces expressed in polyhedral form

Abstract

The profiling of tool’s bounded by revolution surfaces – disc tool, end mill tool and ring tool – is based on fundamental theorems of the surfaces enwrapping. There are situations when the surfaces are known by sampled points, often determined by measuring on coordinate measuring machines. There are algorithms known for approximation of these discreet points, onhelical surface, using Bezier polynomials or B-spline curves. Relying on an algorithm and a polyhedral representation of the surface measured, a software in Java programing language is approached in the present paper. There are presented numerical applications for profiling the disc tool or end milling tool, reciprocally enwrapping with these surfaces represented by sampled points.