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Using digital topology approach, we construct digital models of closedsurfaces as the intersection graphs of LCL covers of the surfaces. It is provedthat digital models of closed surfaces are digital 2-dimensional surfacespreserving the geometry and topology of their continuous counterparts. In theframework of the proposed models, we show that for any closed surface thereexists a compressed model of this surface with the minimal number of points.  Key words: Closed Surface; Digital space; Cover; Graph; Digital model;Medical imaging;

Topology preserving representations of compact 2D manifolds by digital  2-surfaces. Compressed digital models and digital weights of compact 2D  manifolds. Classification of closed surfaces by digital tools