Finding Shortest Paths on Terrains by Killing Two Birds with One Stone
Summary: Proposes lower/upper bounds for shortest surface distance on terrains to accelerate terrain-spatial queries. Bounds tighter than prior work prune expensive distances, yielding up to 43x speedups for kNN and reverse kNN in terrain spaces. (summarized by gpt-5-nano on Feb 09 2026)
Incoming Non-self Citations Over Time
No non-self incoming citations found for this paper in this database.
Authors
- 1. Manohar Kaul
- 2. Raymond Chi-Wing Wong
- 3. Bin Yang
- 4. Christian S. Jensen
Incoming Citations (Sorted by Pagerank)
Showing 6 of 6 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 10,016 | Efficient Proximity Queries on Simplified Height Maps | 2026 | SIGMOD | 4.1945683e-05 |
| 10,938 | Proximity Queries on Point Clouds using Rapid Construction Path Oracle | 2024 | SIGMOD | 4.1945683e-05 |
| 11,174 | EAR-Oracle: On Efficient Indexing for Distance Queries between Arbitrary Points on Terrain Surface | 2023 | SIGMOD | 4.1945683e-05 |
| 11,789 | Distance Oracle on Terrain Surface | 2017 | SIGMOD | 4.1945683e-05 |
| 11,878 | New Lower and Upper Bounds for Shortest Distance Queries on Terrains | 2016 | VLDB | 4.1945683e-05 |
| 11,996 | Terrain-Toolkit: A Multi-Functional Tool for Terrain Data | 2014 | VLDB | 4.1945683e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 3 of 3 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 1,513 | Continuous Monitoring of Nearest Neighbors on Land Surface | 2009 | VLDB | 0.00011593275 |
| 1,514 | Indexing Land Surface for Efficient kNN Query | 2008 | VLDB | 0.00011593275 |
| 12,172 | Finding Shortest Path on Land Surface | 2011 | SIGMOD | 4.1945683e-05 |
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