**Digital geometry** deals with discrete sets (usually discrete point sets) considered to be digitized models or images of objects of the Euclidean space.

Simply put, **digitizing** is replacing an object by a discrete set of its points. The images wee see on the TV screen, the raster display of a computer, or in newspapers are in fact digital images.

Its main application areas are computer graphics and image analysis.

Main aspects of study are:

- Constructing digitized representations of objects, with the emphasis on precision and efficiency; see Bresenham's line algorithm.
- Study of properties of digital sets; see Pick's theorem.
- Reconstructing "real" objects from their digital images.

See also: computational geometry, tomography.