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Postnikov constructed a decomposition of a totally nonnegative Grassmannianinto positroid cells. We provide combinatorial formulas that allow one todecide which cell a given point belongs to and to determine affine coordinatesof the point within this cell. This simplifies Postnikov's description of theinverse boundary measurement map and generalizes formulas for the top cellgiven by Speyer and Williams. In addition, we identify a particular subset ofPluecker coordinates as a totally positive base for the set of non-vanishingPluecker coordinates for a given positroid cell.

Combinatorial formulas for Le-coordinates in a totally nonnegative Grassmannian