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Linear Interpolation Calculation For Different Quadrants

Oct 17, 2019

The following discriminants can be shared for the four quadrants:

alles cnc-1 

Take a step in the direction of Xe,

 图片2

Take a step in the direction of Ye,

 图片3

(Xe-X0), (Ye-Y0) are signed and affect the direction in which the tool moves relative to the workpiece. The control of the tool relative to the moving direction of the workpiece can be determined according to the quadrant in which the line segment is located. If the line segment is in the third quadrant, when the pulse is output in the X or Y direction, the motor can be reversed, and the discriminant and the pulse distribution mode are The first quadrant is the same; if the line segment is in the second quadrant, the X-direction motor can be reversed and the Y-direction motor can be forwarded; the fourth quadrant reverses the Y-direction motor and the X-direction motor is forward-transmitted.

 

   Quadrant

Direction

First quadrant

Second quadrant

Third quadrant

Fourth quadrant

Xe-X0

>0

<0

<0

>0

Ye-Y0

>0

>0

<0

<0

X-direction motor

Forward

Reverse

Reverse

Forward

Y-direction motor

Forward

Forward

Reverse

Reverse

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