To my knowledge, Deviation Checking seems to be a simplified version of Deviation Gauge.
Deviation Gauge has "Measurement Definition" allowing specify how the measure the deviation between two objects. The only Measurement Definition method that I can't understand is 3D, for which the official documentation explains: Computes the deviation in 3D space, as for example from a selected object towards a reference object.
Deviation Checking does not have "Measurement Definition", therefore I can only guess how it measures deviation.
Hope to know whether guesses below are correct or not:
1. If the objects to be compared are two curves, two edges or two surfaces, my guess is that, both Deviation Checking and Deviation Gauge (Measurement Definition=3D) would compare two points having equal parameters.
2. If the objects to be compared are a curve and a surface, my guess is that, both Deviation Checking and Deviation Gauge (Measurement Definition=3D) would compare a point on the curve and its projection (normal) point on the surface.
Thanks!