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Interpolation

Interpolation is used in CNC programming, to define the path and speed of the cutting tool as it moves along the workpiece. The CNC machine interprets the code and generates the appropriate signals to control the motors and drives that move the axes.

1- Rapid positioning

Rapid traverse motion, sometimes called a positioning motion, is a method of moving the cutting tool from one position to another position at a rapid rate of the machine. The maximum rapid rate is determined by the CNC machine manufacturer and takes place within the travel limits of the machine.

2- Linear Interpolation

Moves the tool in a straight line between two points. 

3- Circular interpolation

Circular interpolation enables machining of full circles or arcs, the CNC machine guides the tool along a circular arc. 

4- Helical interpolation

Combines circular motion with linear movement along a third axis.

5- Thread Interpolation

Synchronizes spindle rotation with linear motion for threading.

6- Parametric (Spline) Interpolation

Machines complex curves (e.g., Bézier splines, NURBS) using mathematical models. Spline interpolation is the most sophisticated type. It allows for the creation of very complex, smooth curves by defining a series of points (spline points). The CNC control then generates a smooth curve that passes through these points. Different types of spline exist (e.g., B-splines, Bezier splines), each with its own characteristics.

Conclusion

Comparison Table

Type  G-codes Use Case
PositioningG00Rapid traverse positioning motion
 Linear  G01  Straight cuts, drilling
 Circular  G02, G03  Arcs, holes
 Helical  G02/G03 + Z-axis  Threads, helical paths
 Parametric  G05, G06  Complex curves (NURBS)
 Thread  G33, G76  Thread cutting

Choosing the right interpolation method depends on the part geometry, required precision, and CNC capabilities. While linear and circular interpolations are standard, advanced techniques like parametric or helical unlock complex designs. Always consult your machine’s manual for supported G-codes and compatibility. By mastering these methods, you can optimize tool paths for efficiency and surface quality.
Happy machining!

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