I think that some of the confusion on this topic comes from those pesky digital people! When considering the maximum resolution for a digital sensor, it takes a minimum of two pixels to record a line pair (or cycle). So, if you have a sensor that segment that is, say, 10 pixels long, the maximum that segment can resolve is 5 cycles. Thus, the "resolution" typically cited for a digital sensor can be thought of as "lines" per unit length, but has to be divided by two in order for it to be expressed in terms comparable to the resolution measured in the way discussed here.
David