In this research, the geometrical characteristics of various types of dimensional and geometrical tolerances are mathematically represented and compared.
Tolerance analysis is based on tolerance zone analysis and aims at mathematical representation.
The concept of tolerance weight is defined and applied in tolerance analysis and setup planning. It makes the comparison of different types of dimensional and geometrical tolerances possible. In a tolerance graph, the faces of a part are represented as vertices, and the tolerance relations among faces are represented as either directed or undirected edges. A tolerance graph is essentially a directed graph by orienting undirected edges into directed edges or representing an undirected edge as two directed edges. The concept of tolerance graph is used consistently in both tolerance analysis and setup planning through the research.