Using the WSPD construction, we can easily compute an ε-approximation to the diameter of a point set Pin linear time. Given ε, we let s= 4/εand construct an s-WSPD. As mentioned above, …

Callahan and Kosaraju [8, 10] devised the well-separated pair decomposition (WSPD), and showed that it can be used to solve a large variety of distance problems. Intuitively, a WSPD is …

Introduced by Callahan and Kosaraju back in 1995, the concept of well-separated pair decomposition (WSPD) has occupied a special significance in computational geometry when it …

2022年5月9日 · Introduced by Callahan and Kosaraju back in 1995, the concept of well-separated pair decomposition (WSPD) has occupied a special significance in computational geometry …

Pu, Pv} output by the algWSPD algorithm. Note that algWSPD always stops if both u and v are leafs, whic. , then α = max(diam(Pu), diam(Pv)) > 0. This implies that d(Pu, Pv) ≥ d(u, v) ≥ …

2024年12月1日 · We present a memoryless local routing algorithm for heavy path WSPD spanners. The routing algorithm requires a vertex v of the graph to store O (deg ⁡ (v) log ⁡ …

Accordingly, a surface duct (SD) is virtually ubiquitous with its depth compared with the MIBL depth. The wind direction and the SD characteristics exhibit diurnal variations over the SCB …

Trivially, there exists a WSPD of size O(n2) by setting the fA i;B igpairs to each of the distinct pair singletons of P. Our goal is to show that, given an n-element point set P in Rd and any s > 0, …

In this lecture, we discuss WSPD, a data structure for organizing multi-dimensional points with a tunable scaling parameter s, which allows us to solve many higher di- mensional problems in …

Dr. Tamara Mchedlidze Dr. Darren Strash Computational Geometry Lecture Applications of WSPD & Visibility Graphs 7 Discussion What are further applications of the WSPD? WSPD is …