An $$\varOmega (n^3)$$ Lower Bound on the Number of Cell Crossings for Weighted Shortest Paths in 3-Dimensional Polyhedral Structures
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Publisher
Springer International Publishing
Link
http://link.springer.com/content/pdf/10.1007/978-3-030-61792-9_19
Reference19 articles.
1. Aleksandrov, L., Djidjev, H.N., Guo, H., Maheshwari, A., Nussbaum, D., Sack, J.-R.: Algorithms for approximate shortest path queries on weighted polyhedral surfaces. Discrete Comput. Geom. 44(4), 762–801 (2009). https://doi.org/10.1007/s00454-009-9204-0
2. Aleksandrov, L., Djidjev, H., Maheshwari, A., Sack, J.-R.: An approximation algorithm for computing shortest paths in weighted 3-D domains. Discrete Comput. Geom. 50(1), 124–184 (2013). https://doi.org/10.1007/s00454-013-9486-0
3. Aleksandrov, L., Maheshwari, A., Sack, J.: Determining approximate shortest paths on weighted polyhedral surfaces. J. ACM 52(1), 25–53 (2005). https://doi.org/10.1145/1044731.1044733
4. The Boost C++ Library. http://www.boost.org/
5. Bose, P., Maheshwari, A., Shu, C., Wuhrer, S.: A survey of geodesic paths on 3D surfaces. Comput. Geom. 44(9), 486–498 (2011). https://doi.org/10.1016/j.comgeo.2011.05.006
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