When looking at the MODIS grid [1] and compare it to how the sinusoidal projection is distorted, I wonder how to both practically and formally describe the distortion factor for each MODIS grid tile.
By practically I mean, what's a center tile's (e.g. row 8, col 18
) width and height in meters on ground compared to a tile of a region that is rather distorted on the sinusoidal projected map, like row 2, col 14
?
My understanding is that, by example on the grid shown at [1] which should be a 1km resolution MODIS grid, each tile should be approximately 1200km * 1200km
, but is that approximation nearly the same for mentioned tile regions?
And by formally I mean, how to mathematically describe the distortion factor for MODIS tiles?
[1] http://modis-land.gsfc.nasa.gov/MODLAND_grid.html
[2] https://en.wikipedia.org/wiki/Sinusoidal_projection#/media/File:Tissot_indicatrix_world_map_sinusoidal_proj.svg