OPTIMAL CONSTRUCTION OF THE CITY VORONOI DIAGRAM
- Title
- OPTIMAL CONSTRUCTION OF THE CITY VORONOI DIAGRAM
- Authors
- Bae, SW; Kim, JH; Chwa, KY; null
- Date Issued
- 2009-04
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Abstract
- We address proximity problems in the presence of roads on the L(1) plane. More specifically, we present the first optimal algorithm for constructing the city Voronoi diagram. We apply the continuous Dijkstra method to obtain an optimal algorithm for building a shortest path map for a given source, and then it extends to that for the city Voronoi diagram. Moreover, our algorithm can be extended to other generalized situations including metric spaces induced by roads and obstacles together.
- Keywords
- Voronoi diagram; transportation network; time metric; city metric; shortest travel time path; continuous Dijkstra method; SHORTEST PATHS; PLANE; OBSTACLES
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/26530
- ISSN
- 0218-1959
- Article Type
- Conference
- Files in This Item:
- There are no files associated with this item.
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