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Indexing Spatio-Temporal Trajectories with Chebyshev Polynomials

Summary: Chebyshev-polynomial minimax approx for d-D spatio-temporal trajectories as indexing basis; compact, pruning-friendly. Lower Bounding Lemma: trajectory distance ≥ weighted Chebyshev-distance; no false negatives; experiments show Chebyshev indexing beats APCA. (summarized by gpt-5-nano on Feb 09 2026)

Paper ID
3552
Venue
SIGMOD
Year
2004
Pagerank
0.00012372959
Overall Rank
1,363 | 90.52%
DOI
-

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Incoming Citations (Sorted by Pagerank)

Showing 17 of 17 citing papers.

Rank Citing Paper Year Venue Pagerank
251 Robust and Fast Similarity Search for Moving Object Trajectories 2005 SIGMOD 0.00030644658
1,157 A Data-adaptive and Dynamic Segmentation Index for Whole Matching on Time Series 2013 VLDB 0.00013610658
1,161 Querying and Mining of Time Series Data: Experimental Comparison of Representations and Distance Measures 2008 VLDB 0.00013585236
1,516 k-Shape: Efficient and Accurate Clustering of Time Series 2015 SIGMOD 0.00011586255
2,041 Indexable PLA for Efficient Similarity Search 2007 VLDB 9.6992894e-05
3,456 STMaker - A System to Make Sense of Trajectory Data 2014 VLDB 7.075962e-05
3,618 Calibrating Trajectory Data for Similarity-based Analysis 2013 SIGMOD 6.9085505e-05
4,059 GRAIL: Efficient Time-Series Representation Learning 2019 VLDB 6.4854417e-05
4,112 Searching Trajectories by Locations - An Efficiency Study 2010 SIGMOD 6.4422697e-05
4,853 Debunking Four Long-Standing Misconceptions of Time-Series Distance Measures 2020 SIGMOD 5.8760276e-05
6,181 PPQ-Trajectory: Spatio-temporal Quantization for Querying in Large Trajectory Repositories 2021 VLDB 5.1686247e-05
6,577 On Efficiently Searching Trajectories and Archival Data for Historical Similarities 2008 VLDB 5.0042166e-05
10,466 A Structured Study of Multivariate Time-Series Distance Measures 2025 SIGMOD 4.1945683e-05
11,133 Scalable Model-Based Management of Massive High Frequency Wind Turbine Data with ModelarDB 2024 VLDB 4.1945683e-05
11,215 Correlation Joins over Time Series Data Streams Utilizing Complementary Dimension Reduction and Transformation 2023 SIGMOD 4.1945683e-05
11,235 Accelerating Similarity Search for Elastic Measures: A Study and New Generalization of Lower Bounding Distances 2023 VLDB 4.1945683e-05
11,787 Scaling Locally Linear Embedding 2017 SIGMOD 4.1945683e-05
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Showing 10 of 10 cited papers.

Citations counted here include only citations to other VLDB/SIGMOD/CIDR/PODS papers in this database.

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