Skip to Main content Skip to Navigation
Conference papers

Measure of Straight Lines and its Applications in Digital Geometry

David Coeurjolly 1 Isabelle Sivignon 1
1 M2DisCo - Geometry Processing and Constrained Optimization
LIRIS - Laboratoire d'InfoRmatique en Image et Systèmes d'information
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.
Document type :
Conference papers
Complete list of metadata

Cited literature [16 references]  Display  Hide  Download
Contributor : David Coeurjolly <>
Submitted on : Tuesday, November 17, 2009 - 9:29:08 AM
Last modification on : Tuesday, June 1, 2021 - 2:08:07 PM
Long-term archiving on: : Tuesday, October 16, 2012 - 2:11:09 PM


Files produced by the author(s)


  • HAL Id : hal-00432711, version 1


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⟩



Record views


Files downloads