Rosenfeld (IEEE Trans. Comput. C-23(12), 1264-1269 (1974)) defined the
chord property and proved that a digital arc is a digital straight se
gment if and only if it satisfies the chord property. A new property i
s defined, which we call the compact chord property, and the two prope
rties are proved to be equivalent. The compact chord property offers a
useful alternative for testing a digital arc for straightness by expl
oiting the notion of visibility in computational geometry.