I want to use point data to create a raster surface which distributes the values over space, as defined by an equation, and NOT by interpolating.
I have an equation to describe how the characteristic changes to describe a characteristic that decreases with distance from source e.g.
y = x - 20 log (d) -11
d is the distance from the source,
x is the value of the point data and
yis the value for a point in the raster.
Thus the value of the raster decreases radially from each point. When values from two different points meet I would also like define how the values are added together. As they are not a simple addition of individual values.
I've included this graph to illustrate my question. Two point values (shown in red) a distance apart. The values the raster cells should contains are shown in blue. The shape of the blue line is very different to what would have been produced from an interpolation.
Is there a tool or set of tools that could be used in ArcGIS 10.2 to solve this problem?