Constrained Shortest Path Finding on Terrain Surfaces
Summary: Introduces CPTS: the shortest path over a terrain surface from s to t visiting all specified POIs, proving NP-hardness. Develops a 2(1+ε)-approximation with O(kN log²N/(ε²β)) time and O(k/(ε²β)) space, outperforming baselines. (summarized by gpt-5.6-luna on Jul 26 2026)
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Authors
- 1. Victor Junqiu Wei (Macau University of Science and Technology)
- 2. Min Xie (Shenzhen University)
- 3. Weicheng Wang (Beijing Institute of Technology)
BibTeX Citation
@inproceedings{wei_sigmod26,
title = {{Constrained Shortest Path Finding on Terrain Surfaces}},
author = {Wei, Victor Junqiu and Xie, Min and Wang, Weicheng},
series = {{SIGMOD} '26},
booktitle = {Proceedings of the {ACM} {SIGMOD} International Conference on Management of Data},
publisher = {Association for Computing Machinery},
doi = {10.1145/3802031},
url = {https://dl.acm.org/doi/10.1145/3802031},
year = {2026}
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Outgoing Citations (Sorted by Pagerank)
Showing 8 of 8 cited papers.
Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.
| Rank | Cited Paper | Year | Venue | Pagerank |
|---|---|---|---|---|
| 1,618 | Continuous Monitoring of Nearest Neighbors on Land Surface | 2009 | VLDB | 0.00010207737 |
| 1,619 | Indexing Land Surface for Efficient kNN Query | 2008 | VLDB | 0.00010207737 |
| 8,526 | Path Advisor: A Multi-Functional Campus Map Tool for Shortest Path | 2021 | VLDB | 5.4119882e-05 |
| 8,532 | New Lower and Upper Bounds for Shortest Distance Queries on Terrains | 2016 | VLDB | 5.4119882e-05 |
| 8,537 | Finding Shortest Paths on Terrains by Killing Two Birds with One Stone | 2014 | VLDB | 5.4119882e-05 |
| 8,543 | Finding Shortest Path on Land Surface | 2011 | SIGMOD | 5.4119882e-05 |
| 11,380 | EAR-Oracle: On Efficient Indexing for Distance Queries between Arbitrary Points on Terrain Surface | 2023 | SIGMOD | 5.093636e-05 |
| 11,993 | Distance Oracle on Terrain Surface | 2017 | SIGMOD | 5.093636e-05 |
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