I have a 2D distribution of mass on a sphere given as a matrix of masses in latitude-longitude grid cells. I need these masses projected to another grid on the same sphere with different location of pole and different cell sizes, again as masses in grid cells.
The projection has to be:
monotonous, i.e. not create substantial artificial maxima/minima of concentration (mass/cell area)
strictly mass-conservative (to numerical accuracy)
I could not find any ready made tool for that, though I believe, there should be something available (C, fortran or whatever). Any clue?