This book is intended to define and analyse the geometrical and topological properties among the digital subsets of the digital images such as convexity convex envelopes continuity connectedness and r-simplexes with the background of intuitionistic fuzzy logic. As an example automated detection of diabetic retinopathy using intuitionistic fuzzy digital convex envelope segmentation algorithm is propounded. As the co-extension of the above notions some of the maps between the digital images such as continuous maps connected maps C-maps and enfolding maps are presented and investigated with intuitionistic fuzzy logic. Finally intuitionistic fuzzy digital topology is framed up. Under this notion CS - filtered spaces and Hausdorff CS - filtered spaces are instigated.