New Lower and Upper Bounds for Shortest Distance Queries on Terrains
Summary: Introduces new lower/upper bounds for terrain shortest-distance queries that are provably tighter than prior bounds. Unlike triangulation-dependent bounds, they do not rely on mesh quality, enabling pruning and nearly an order-of-magnitude speedups. (summarized by gpt-5-nano on Feb 09 2026)
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Incoming Citations (Sorted by Pagerank)
Showing 4 of 4 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 10,016 | Efficient Proximity Queries on Simplified Height Maps | 2026 | SIGMOD | 5.1725247e-05 |
| 10,941 | Proximity Queries on Point Clouds using Rapid Construction Path Oracle | 2024 | SIGMOD | 5.1725247e-05 |
| 11,177 | EAR-Oracle: On Efficient Indexing for Distance Queries between Arbitrary Points on Terrain Surface | 2023 | SIGMOD | 5.1725247e-05 |
| 11,797 | Distance Oracle on Terrain Surface | 2017 | SIGMOD | 5.1725247e-05 |
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Outgoing Citations (Sorted by Pagerank)
Showing 4 of 4 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 1,740 | Continuous Monitoring of Nearest Neighbors on Land Surface | 2009 | VLDB | 9.9386368e-05 |
| 1,741 | Indexing Land Surface for Efficient kNN Query | 2008 | VLDB | 9.9386368e-05 |
| 12,025 | Finding Shortest Paths on Terrains by Killing Two Birds with One Stone | 2014 | VLDB | 5.1725247e-05 |
| 12,180 | Finding Shortest Path on Land Surface | 2011 | SIGMOD | 5.1725247e-05 |
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| 12,180 | Finding Shortest Path on Land Surface | 2011 | SIGMOD | 5.1725247e-05 |
| 10,016 | Efficient Proximity Queries on Simplified Height Maps | 2026 | SIGMOD | 5.1725247e-05 |
| 8,501 | The Case for Distance-Bounded Spatial Approximations | 2021 | CIDR | 5.4844308e-05 |
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| 11,797 | Distance Oracle on Terrain Surface | 2017 | SIGMOD | 5.1725247e-05 |
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