Calculate how many points a route goes through [on hold]

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Is there a way in which a route mapping interface can determine how many points a certain (user created) route has 'touched'?

In the sense that firstly:

1. I have a set of markers or points (e.g. geojson format)
2. I have a route from A to B.
3. How many of these pre-determined points does route A to B go through?

Even if a route does not exactly go through a point (i.e. is which a certain radius of the point), is here any software or programme that can perform this function? And, if any, is there a web-facing interface that can do this?



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