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The distribution of visual interstellar extinction $A_V$ has been mapped inselected areas over the Northern sky, using available LAMOST DR5 and GaiaDR2/EDR3 data. $A_V$ was modelled as a barometric function of galactic latitudeand distance. The function parameters were then approximated by sphericalharmonics. The resulting analytical tridimensional model of the interstellarextinction can be used to predict $A_V$ values for stars with known parallaxes,as well as the total Galactic extinction in a given location in the sky.

Approximate analytical description of the high latitude extinction