Interpolating map values with varying 'CellExtentInLatitude'

Hi,
I am reading an EASE-Grid original map with 'cylindrical equal-area' projection and 'mapparalles' parameter of 30 degree. I have also the lat and lon at the center of each raster cell. I'd like to do interpolation at query lat and lon like in 'geointerp' but here the 'CellExtentInLatitude' is not a scalar and varries with latitude. To be able to use 'scatteredInterpolant' for interpolation I guess I need to transform lat and lon to Intrinsic coordinate first, but I am not sure how to do this. Any suggestion is highly appreciated.

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