# On the Stretch Factor of the Constrained Delaunay Triangulation

```@article{Bose2006OnTS,
title={On the Stretch Factor of the Constrained Delaunay Triangulation},
author={Prosenjit Bose and J. Mark Keil},
journal={2006 3rd International Symposium on Voronoi Diagrams in Science and Engineering},
year={2006},
pages={25-31}
}```
Given a set P of n points in the plane and a set S of non-crossing line segments whose endpoints are in P, let CDT(P, S) be the constrained Delaunay triangulation of P with respect to S. Given any two visible points p,q isin P, we show that there exists a path from p to q in CDT(P, S), denoted SP CDT(p, q) such that every edge in the path has length at most \pq\ and the ratio \SPCDT(p, q)|/|pq| is at most 4piradic3/9 (ap 2.42), thereby improving on the previously known bound of pi(ap1+radic5)/2… CONTINUE READING

#### Citations

##### Publications citing this paper.
Showing 1-10 of 17 extracted citations
3 Excerpts
2 Excerpts
5 Excerpts

#### References

##### Publications referenced by this paper.
Showing 1-10 of 11 references

## Proximity Structures for Moving Objects in Constrained and Unconstrained Environments

• M. I. KARAVELAS
• Ph.D. thesis, Dept. Comput. Sci., Stanford…
• 2001
1 Excerpt