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
Authors
- 1. Manohar Kaul (Aarhus University)
- 2. Raymond Chi-Wing Wong (Hong Kong University of Science and Technology)
- 3. Bin Yang (Aarhus University)
- 4. Christian S. Jensen (Aarhus University)
BibTeX Citation
@article{kaul_vldb14,
title = {{Finding Shortest Paths on Terrains by Killing Two Birds with One Stone}},
author = {Kaul, Manohar and Wong, Raymond Chi-Wing and Yang, Bin and Jensen, Christian S.},
journal = {PVLDB},
series = {{VLDB} '14},
volume = {7},
number = {1},
pages = {73--84},
doi = {10.14778/2732232.2732239},
url = {https://doi.org/10.14778/2732232.2732239},
year = {2014}
}Incoming Citations (Sorted by Pagerank)
Showing 7 of 7 citing papers.
| Rank | Citing Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 8,701 | New Lower and Upper Bounds for Shortest Distance Queries on Terrains | 2016 | VLDB | 5.2905577e-05 |
| 10,429 | Constrained Shortest Path Finding on Terrain Surfaces | 2026 | SIGMOD | 4.9793485e-05 |
| 10,524 | Efficient Proximity Queries on Simplified Height Maps | 2026 | SIGMOD | 4.9793485e-05 |
| 11,503 | Proximity Queries on Point Clouds using Rapid Construction Path Oracle | 2024 | SIGMOD | 4.9793485e-05 |
| 11,695 | EAR-Oracle: On Efficient Indexing for Distance Queries between Arbitrary Points on Terrain Surface | 2023 | SIGMOD | 4.9793485e-05 |
| 12,291 | Distance Oracle on Terrain Surface | 2017 | SIGMOD | 4.9793485e-05 |
| 12,485 | Terrain-Toolkit: A Multi-Functional Tool for Terrain Data | 2014 | VLDB | 4.9793485e-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 |
|---|---|---|---|---|
| 1,650 | Continuous Monitoring of Nearest Neighbors on Land Surface | 2009 | VLDB | 9.9787032e-05 |
| 1,651 | Indexing Land Surface for Efficient kNN Query | 2008 | VLDB | 9.9787032e-05 |
| 8,710 | Finding Shortest Path on Land Surface | 2011 | SIGMOD | 5.2905577e-05 |
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Semantically Similar Papers
| # | Overall Rank | Paper | Year | Venue |
|---|---|---|---|---|
| 1 | 677 | Voronoi-Based K Nearest Neighbor Search for Spatial Network Databases | 2004 | VLDB |
| 2 | 11,503 | Proximity Queries on Point Clouds using Rapid Construction Path Oracle | 2024 | SIGMOD |
| 3 | 1,650 | Continuous Monitoring of Nearest Neighbors on Land Surface | 2009 | VLDB |
| 4 | 447 | Scalable Network Distance Browsing in Spatial Databases | 2008 | SIGMOD |
| 5 | 10,524 | Efficient Proximity Queries on Simplified Height Maps | 2026 | SIGMOD |
| 6 | 1,651 | Indexing Land Surface for Efficient kNN Query | 2008 | VLDB |
| 7 | 10,429 | Constrained Shortest Path Finding on Terrain Surfaces | 2026 | SIGMOD |
| 8 | 12,291 | Distance Oracle on Terrain Surface | 2017 | SIGMOD |
| 9 | 8,710 | Finding Shortest Path on Land Surface | 2011 | SIGMOD |
| 10 | 8,701 | New Lower and Upper Bounds for Shortest Distance Queries on Terrains | 2016 | VLDB |