Compare the original grid to the zonal minimum grid: the places of equality are the deepest within their regions.
Thank you for the clarification: you seek the point furthest within the interior of each region. (It's related to the old joke about how far can a person go into the woods. Answer: halfway; after that, they are going out again.)Perhaps surprisingly, my previous solution applies after some preparation:RegionGroup the grid to obtain zones.Compute the Euclidean Distance grid for the complementary region (presumably, the one indicated by zeros).The values in the zonal maximum grid give, region by region, the "deepest" interior distance. Comparing the zonal max to the euclidean distance, as I described earlier, produces a binary grid identifying all the deepest points in all the regions.
Nor does it need one. Every zonal calculation employs two grids: one, which must have an attribute table, designates the zones. The other contains the values to be summarized by zone. It does not need to have an attribute table (and often does not). In this case the RegionGrouped grid plays the former role (and it will have an attribute table) and the Euclidean distance grid plays the latter role. Your comment suggests you just need to get clear about which grid is which.
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