Abstract
The concept of regularity plays an important role in the study of the arcs of a digital contour. In this paper, the structure of regular digital arcs is investigated and, once given a general definition of straightness for digital contour arcs, a necessary and sufficient condition for the straightness of regular arcs is given. This condition only depends on parameters characterizing the macrodescription of the regular digital arc; its equivalence with the chord property is also shown. The knowledge of the structure of regular digital arcs can be a good starting point for the study of nonregular digital arcs, so that it could be possible to formulate a general algorithm to detect both concavity and convexity.
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