Voronoi Diagram of Polygonal Chains under the Discrete Fréchet DistanceReport as inadecuate



 Voronoi Diagram of Polygonal Chains under the Discrete Fréchet Distance


Voronoi Diagram of Polygonal Chains under the Discrete Fréchet Distance - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: Voronoi Diagram of Polygonal Chains under the Discrete Fréchet Distance
Polygonal chains are fundamental objects in many applications like pattern recognition and protein structure alignment. A well-known measure to characterize the similarity of two polygonal chains is the famous Fr\`{e}chet distance. In this paper, for the first time, we consider the Voronoi diagram of polygonal chains in $d$-dimension $d=2,3$ under the discrete Fr\`{e}chet distance. Given $n$ polygonal chains ${\cal C}$ in $d$-dimension $d=2,3$, each with at most $k$ vertices, we prove fundamental properties of such a Voronoi diagram {\em VD}$ F{\cal C}$ by presenting the first known upper and lower bounds for {\em VD}$ F{\cal C}$.



Author: Sergey Bereg; Marina Gavrilova; Binhai Zhu

Source: https://archive.org/







Related documents