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It looks like you need to do a Viewshed analysis. This can be accomplished using ArcGIS Viewshed (3D): ArcGIS Viewshed


Yes, it's possible. The GRASS module is r.surf.area. You can use OPEN GRASS Tools (GRASS plugin of QGIS). Its use is very intuitive. For irregular surfaces you have to use a mask. 1) Using the module in the square area (red) of next image: 2) Results in Output Window:


Somewhere at the bare bone 3D Analyst graph is an option to export the underlying data and use Excel or others to create the graph. If you want to avoid manually made (clicked) profile graphs with the 3D Analyst it is also possible to use existing line features. You create a equal distributed point file along a line for which you want to create the profile. ...


From your diagram it appears that you're interested in the points where the change in gradient is the most. Since the gradient of a line measures the rate of change (i.e. can be considered the derivative), then the gradient of the gradient is the rate of change of the gradient (i.e. can be considered the second derivative). So from this assumption we can say ...

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