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Subject: [gislist] maximum volume within a polygon
Date:  03/04/2005 09:10:01 AM
From:  Bryan Keith



Hello,

I have a polygon and surface representing elevations. Within my polygon
I want to calculate new maximum elevations constrained by a maximum
slope of 2.5:1.

More details:

Along the edge of my polygon I know the elevations. However, within my
polygon I want to calculate new elevations. I want the maximum
elevation that doesn't exceed my slope constraint. I can't simply look
at any point inside my polygon and look at the nearest point along the
edge and calculate a new elevation based on my slope constraint because
there may be another point along the edge of my polygon which is
slightly farther away but has a much lower elevation. The slope
constraint has to be honored for all PTs along the edge of my polygon.

The best solution I've come with is to grid the area inside the polygon
and make points with elevations along the edge of my polygon. Then for
each point on my grid compute a valid elevation for every point along
the edge of my polygon. Assign the minimum value of these elevations to
the gridded point. I think this solution will work, and I think it will
be a unique solution which will maximize the volume within my polygon.
However, I'm not 100% sure, and it doesn't seem like the best solution.

Any ideas?

Bryan

Bryan Keith
GIS Specialist
Geomega, Inc.
Boulder, CO, USA
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