Assign Z value to new coordinates based on interpolated response surface in R

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I'm sure there is a simple answer for this...I've created a response surface of sorts based on interpolated z values (bottom of post). I'm looking for the most efficient way to assign the respective z value to a new point (actually, a dataset of new points), based on the corresponding lat long (which is what the original grid is based on). Anyone have a recommendation for a command and/or package I may look up? The grid is not a shapefile so the spatial joining packages I've seen have not been any use. Thanks so much in advace!




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