A new digital representation of pictures is proposed. The main feature of this representation is: Given a string of data Z representing a picture with full resolution, various substrings of Z represent the same picture with appropriately lower resolution. This is analogous to a well-known property of holograms. The new representation is based on a particular picture traversal algorithm and uses overlapping sampling areas. The paper presents the principle of this representation, analyzes its overhead, and provides examples of picture reconstruction. An application of the hologram like representation to the transmission of pictures with progressive resolution is indicated.