Spartial Resolution Reprojection - rom Angular to Rectangular Values with GDAL

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I have an image in a WGS 84 / No Defs projection. I can get it spatial resolutions in angular units for X axis and Y axis through geotransform parameters.

If I would reproject this image into WGS 84 / World Mercator, then geotransform parameters will become reprojected too, and I will be able to get new spatial resolution for my image in meters

How can I reproject those resolutions without image reprojection?



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