Calculating distance from points to different class in raster using ArcGIS Spatial An

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I am looking for some advice on how to calculate the distance from a point to a different class of a raster.

Specifically, I have observations (points) of animal use overlaid on land cover data.

For each point I want to calculate the distance to the nearest cell of a different cover type.

For instance, if a point is located in a grassland patch, what is the distance to the nearest cell that is not grass.

I am using ArcGIS 10 and have a Spatial Analyst license.

I think raster calculator might be the best approach for this but could anyone provide an equation that would accomplish this?



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