TY - GEN
T1 - Efficient trajectory queries under the Fréchet distance (GIS Cup)
AU - Buchin, Kevin
AU - van Diggelen, Tom
AU - Diez, Yago
AU - Meulemans, Wouter
N1 - Funding Information:
The authors would like to thank Matias Korman and Maike Buchin for initial discussions. K.B. was supported in part by the Netherlands Organisation for Scientific Research (NWO, 612.001.207). Y.D. was supported by the IMPACT Tough Robotics Challenge Project of the Japan Science and Technology Agency. W.M. was supported by the Netherlands eScience Center (NLeSC, 027.015.G02).
Publisher Copyright:
© 2017 Copyright held by the owner/author(s).
PY - 2017/11/7
Y1 - 2017/11/7
N2 - Consider a set P of trajectories (polygonal lines in R2), and a query given by a trajectory Q and a threshold > 0. To answer the query, we wish to find all trajectories P ? P such that F(P, Q) ?, where F denotes the Fréchet distance. We present an approach to efficiently answer a large number of queries for the same set P. Key ingredients are (a) precomputing a spatial hash that allows us to quickly find trajectories that have endpoints near Q; (b) precomputing simplifications on all trajectories in P; (c) using the simplifications and optimizations of the decision algorithm to efficiently decide F(P, Q) ? for most P ? P.
AB - Consider a set P of trajectories (polygonal lines in R2), and a query given by a trajectory Q and a threshold > 0. To answer the query, we wish to find all trajectories P ? P such that F(P, Q) ?, where F denotes the Fréchet distance. We present an approach to efficiently answer a large number of queries for the same set P. Key ingredients are (a) precomputing a spatial hash that allows us to quickly find trajectories that have endpoints near Q; (b) precomputing simplifications on all trajectories in P; (c) using the simplifications and optimizations of the decision algorithm to efficiently decide F(P, Q) ? for most P ? P.
KW - Fréchet distance
KW - Range searching
KW - Trajectories
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U2 - 10.1145/3139958.3140064
DO - 10.1145/3139958.3140064
M3 - Conference contribution
AN - SCOPUS:85040993242
SN - 9781450354905
T3 - GIS: Proceedings of the ACM International Symposium on Advances in Geographic Information Systems
BT - GIS
A2 - Ravada, Siva
A2 - Hoel, Erik
A2 - Tamassia, Roberto
A2 - Newsam, Shawn
A2 - Trajcevski, Goce
A2 - Trajcevski, Goce
PB - Association for Computing Machinery
T2 - 25th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems, ACM SIGSPATIAL GIS 2017
Y2 - 7 November 2017 through 10 November 2017
ER -