This article describes the use of geometric measurements of continuous, discrete parameters to study morphometric variation in the wing cells of two sibling species, Drosophila mercatorum and Drosophila paranaensis. To validate the results, the same wing samples were also analyzed using truss networks and partial warps, in addition to a comparison with the ellipse method. The use of discriminative measurements in conjunction with a Bayesian-based classification method yielded a relatively high number of correct classifications for new individuals. These results compared favorably with those obtained using truss networks, partial warps and the ellipse method. These findings indicate that continuous curvature and arc length measurements may be useful parameters for the morphometric analysis of insect wings and possibly other biological structures and shapes.