Measure of Straight Lines for Digital Contour Analysis

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 for contour analysis.

Domaines: Traitement des images [eess.IV]

David Coeurjolly, Isabelle Sivignon. Measure of Straight Lines for Digital Contour Analysis. International Journal of Imaging Systems and Technology, 2011, pp.67-75. ⟨10.1002/ima.20268⟩. ⟨hal-00529817⟩