In mathematics, a digital manifold is a special kind of combinatorial manifold which is defined in digital space i.e. grid cell space.
It usually means a piecewise linear manifold made by simplicial complexes.
In other words, if A and B are two i-cells and A is a parallel-move of B, then {A,B} is an (i+1)-cell.
Therefore, k-cells can be defined recursively.
Basically, a connected set of grid points M can be viewed as a digital k-manifold if: (1) any two k-cells are (k-1)-connected, (2) every (k-1)-cell has only one or two parallel-moves, and (3) M does not contain any (k+1)-cells.