I have a grid of cells that outline sharp transitions between different neighbour values:
I would like to "smooth" the transition between the cells so that I obtain some sort of gradients between the different values.
How can I do it with ArcGIS?
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What you're looking for is the
focal statistics function in your
spatial analyst toolbox. You find the documentation of the function in your ArcGIS desktop help, or under this link.
Focal statistics will go through your grid using the radius or neighbourhood you've defined and will then apply the selected statistics to each cell. I would recommend using
mean for your task, since it will smooth out the boundaries between your sharp breaks. Also check the screenshot below. Note that this function will increase the size of your raster by the size of your chosen neighbourhood (since it also treats the cells on the edges). You might have to clip it to your original extent afterwards.