Frechet similarity of closed polygonal curves

Received (received date) Revised (revised date) Communicated by (Name) The article analyzes similarity of closed polygonal curves with respect to the Fréchet metric, which is stronger than the well-known Hausdorff metric and therefore is more appropriate in some applications. An algorithm is described that determines whether the Fréchet distance between two closed polygonal curves with m and n vertices is less than a given number ε. The algorithm takes O(mn) time whereas the previously known algorithms take O(mn log(mn)) time.