Measure of straight lines for digital contour analysis

Abstract

In digital geometry, objects such as digital straight lines can be considered as equivalent classes of Euclidean straight lines with respect to a digitization process. This article investigates the analysis of the set of straight lines whose digitization is a given digital straight segment 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. © 2011 Wiley Periodicals, Inc.