Measure of Straight Lines and its Applications in Digital Geometry

David Coeurjolly (1) , Isabelle Sivignon (1)

1 M2DisCo - Geometry Processing and Constrained Optimization

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.

Domaines: Traitement des images [eess.IV]

David Coeurjolly, Isabelle Sivignon. Measure of Straight Lines and its Applications in Digital Geometry. 13th International Workshop on Combinatorial Image Analysis, Nov 2009, Cancun, Mexico. pp.1-12. ⟨hal-00432711⟩