arcgis desktop - Creating collection of polygons from collection of points?

I have a set of points, which are spread over a wide geographical area. I need to be able to create a set of polygons which best represent the clustered points.

In parts, some points may simply lie on their own, but in the main they are grouped, but not linked.

I have effectively created a grid of, lets say, the north western hemisphere and in each grid, have created a point with an arbitrary value. For all values of zero, I have deleted the points, leaving the points with non zero values in them. I now need to turn these points into polygons and am struggling a little...

Using ArcGIS and python, I thought about clustering the points, then 'convex hulling' them, but am struggling through not really knowing ArcGIS that well; how do I cluster?

thanks in advance for any help.

Answer

To solve this, I made a recursive function which, effectively, stored cordinates of polygon/Polyline/point data by flood filling the raster based on > 0 values held there.