Measure of Straight Lines and its Applications in Digital Geometry
David Coeurjolly, Isabelle Sivignon · 2009
Abstract. In digital geometry, objects such as digital straight lines can be considered as equivalent classes of Euclidean straight lines with re-spect to a digitization process. This paper investigates the analysis of the set of straight lines whose digitization is a given digital straight seg-ment with the help of tools from integral geometry. After a definition of a measure on such sets, we illustrate several applications of it in digital geometry. 1