TY - JOUR

T1 - Computing the Fréchet distance between simple polygons

AU - Buchin, K.

AU - Buchin, M.

AU - Wenk, C.

PY - 2008

Y1 - 2008

N2 - We present the first polynomial-time algorithm for computing the Fréchet distance for a non-trivial class of surfaces: simple polygons, i.e., the area enclosed by closed simple polygonal curves, which may lie in different planes. For this, we show that we can restrict the set of maps realizing the Fréchet distance, and develop an algorithm for computing the Fréchet distance using the algorithm for curves, techniques for computing shortest paths in a simple polygon, and dynamic programming.

AB - We present the first polynomial-time algorithm for computing the Fréchet distance for a non-trivial class of surfaces: simple polygons, i.e., the area enclosed by closed simple polygonal curves, which may lie in different planes. For this, we show that we can restrict the set of maps realizing the Fréchet distance, and develop an algorithm for computing the Fréchet distance using the algorithm for curves, techniques for computing shortest paths in a simple polygon, and dynamic programming.

U2 - 10.1016/j.comgeo.2007.08.003

DO - 10.1016/j.comgeo.2007.08.003

M3 - Article

SN - 0925-7721

VL - 41

SP - 2

EP - 20

JO - Computational Geometry

JF - Computational Geometry

IS - 1-2

ER -