In this paper we present algorithms for a number of problems in geometric pattern matching where the input consist of a collections of segments in the plane. Our work consists of ...
Alon Efrat, Piotr Indyk, Suresh Venkatasubramanian
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
We study the following variant of the well-known line-simplification problem: we are getting a possibly infinite sequence of points p0, p1, p2, . . . in the plane defining a polyg...
Mohammad Ali Abam, Mark de Berg, Peter Hachenberge...
Given a polygonal curve and a geometric graph, we describe an efficient algorithm to find a path in the graph which is most similar to the curve, using the well-known Fr´echet d...
Carola Wenk, Helmut Alt, Alon Efrat, Lingeshwaran ...
We develop algorithms to compute Voronoi diagrams, shortest path maps, and the Fr´echet distance in the plane with polygonal obstacles. Distances between points are measured eithe...