3. Geometry and the specification of spur gear with the module

Pressure angle remains the same throughout the operation, and the teeth are weaker. It is easier to manufacture due to its convex surface. The velocity is not affected due to the variation in the central distance. Interference takes place; there is more wear and tear as contact takes place between convex surfaces (Figure 2).

Figure 2. Involute profile.

we do not use a Non-uniform rational basis spline (NURBS) is a mathematical model commonly used in computer graphics for generating and representing curves and surfaces. It offers great flexibility and precision for handling both analytic and modeled shapes. In general, editing NURBS curves and surfaces is highly intuitive and predictable. Control points are always either connected directly to the curve / surface, or act as if they were connected by a rubber band [1]. The method is based on the fuzzy logic algorithm, which is a well-known method to approximate the ideal position that minimizes the sum of the squared residual errors between the clearance and the model. This choice is motivated by the robustness of this method and it is important to underline here that no attempt to implement it within the coordinate measuring machine (CMMs) software has been reported in the three-dimensional metrology literature. Digital applications have dealt with the case of a gear tooth gear that is fitted to the gearbox of machine tools. The comparison between the real surface obtained by the three-dimensional measuring machine and the ideal model that gives us defects of shape of the tooth. But this precision is generally obtained only for the measurement of well-known shapes of the piece measured and when its dimensions greatly exceed the radius of the tip of the probe, and for this reason, the algorithm is used for the correction of the radius of the probe. For example, simple surfaces form profiles that

are not geometric primitive sections known as planes (circle, sphere, cone, gear, etc.).

Metrology engineering has employed fuzzy logic in the detection of the defect of gears with straight cylindrical teeth. It has also been applied to process control, the modeling of the developing profile of a tooth circle, its optimizations, looks for defects in shape, and position.

2. Fuzzy logic applications in metrology processes

44 Fuzzy Logic Based in Optimization Methods and Control Systems and Its Applications

Figure 1. Synoptic of fuzzy logic.
