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Is there a formula for Surface profile?

I'm pretty new at measuring surface profile, so my doubts are, how does PC-Dmis calculate surface profile? Is there a formula for it? Does it have anything to do with XYZ deviations?
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  • This is from the current Hexagon GDT training for PC-DMIS.

    ASME Y14.5.1 - 2019 New Actual Value For Profile.

    Actual Value. The actual value of a profile tolerance is based on an enveloping zone called the actual zone that is generated in the same way as the tolerance zone. This concept applies in the same way to equally disposed, unequally disposed and unilateral profile specifications. The generating line segment of the tolerance value t0 is lengthened or shortened by an equal amount at each end. The length change at each end is called the growth parameter g. The line segment for the actual zone has a length equal to t0+2g. The actual zone has the minimum g necessary to contain the actual surface.
    • If the actual zone is contained within the tolerance zone, the growth parameter g is negative.
    • If the actual zone is not contained within the tolerance zone, the growth parameter is positive.
    • If the actual zone is equivalent to the tolerance zone, g=0.
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  • This is from the current Hexagon GDT training for PC-DMIS.

    ASME Y14.5.1 - 2019 New Actual Value For Profile.

    Actual Value. The actual value of a profile tolerance is based on an enveloping zone called the actual zone that is generated in the same way as the tolerance zone. This concept applies in the same way to equally disposed, unequally disposed and unilateral profile specifications. The generating line segment of the tolerance value t0 is lengthened or shortened by an equal amount at each end. The length change at each end is called the growth parameter g. The line segment for the actual zone has a length equal to t0+2g. The actual zone has the minimum g necessary to contain the actual surface.
    • If the actual zone is contained within the tolerance zone, the growth parameter g is negative.
    • If the actual zone is not contained within the tolerance zone, the growth parameter is positive.
    • If the actual zone is equivalent to the tolerance zone, g=0.
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