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.
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Submitted on : Tuesday, November 17, 2009 - 9:29:08 AM
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  • HAL Id : hal-00432711, version 1

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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⟩

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