Transforming Coordinates from EASE-Grid to Lat/Lon in R

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Transforming Coordinates from EASE-Grid to Lat/Lon in R
I have 3 matrices, all 721x721. The first contains global snow cover data in the NSIDC's EASE-Grid, the second is the latitude corresponding to each cell of the EASE-Grid and the third is the longitude corresponding to each cell of the EASE-Grid.
For example, the latitude of the snow data in cell [x,y] is given in cell [x,y] of the latitude matrix.
I want to transform the coordinate system from the EASE-Grid into the regular Lat/Lon grid given in the latter two matrices, essentially reordering all the cells in the snow data matrix based on the latitude and longitude matrices.
Any ideas how to do this?
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