| Title: |
Guarding a 1.5D Terrain with Imprecise Viewpoints |
| Authors: |
Keikha, Vahideh; Löffler, Maarten; Saumell, Maria; Valtr, Pavel; Sub Geometric Computing; Fernau, Henning; Zhu, Binhai |
| Publication Year: |
2025 |
| Subject Terms: |
1.5D terrain; Data imprecision; Multiple Viewpoints; Visibility; Taverne; Theoretical Computer Science; General Computer Science |
| Description: |
Given an n-vertex 1.5D terrain T and a set of m edges of T, we study the problem of placing one viewpoint on each edge so that the total length of the visible portions of the terrain is maximized. We present an O(n+mlogm) time 12-approximation algorithm for the general problem, and polynomial-time algorithms for the cases m=1 and m=2. Additionally, we show that the problem of computing a point on T maximizing the visible portion of T can be solved in O(n3) time. |
| Document Type: |
book part |
| File Description: |
application/pdf |
| Language: |
English |
| ISSN: |
0302-9743 |
| Relation: |
https://dspace.library.uu.nl/handle/1874/483024 |
| Availability: |
https://dspace.library.uu.nl/handle/1874/483024 |
| Rights: |
info:eu-repo/semantics/OpenAccess |
| Accession Number: |
edsbas.2ED72ED6 |
| Database: |
BASE |