A pedestrian approach to ray shooting: shoot a ray, take a walk
SODA '93 Selected papers from the fourth annual ACM SIAM symposium on Discrete algorithms
The crust and the &Bgr;-Skeleton: combinatorial curve reconstruction
Graphical Models and Image Processing
Curve reconstruction: connecting dots with good reason
SCG '99 Proceedings of the fifteenth annual symposium on Computational geometry
A Space-Economical Suffix Tree Construction Algorithm
Journal of the ACM (JACM)
Approximate nearest neighbors and sequence comparison with block operations
STOC '00 Proceedings of the thirty-second annual ACM symposium on Theory of computing
Computational Geometry in C
On spaced seeds for similarity search
Discrete Applied Mathematics
Discrete & Computational Geometry
On map-matching vehicle tracking data
VLDB '05 Proceedings of the 31st international conference on Very large data bases
A sampling theory for compact sets in Euclidean space
Proceedings of the twenty-second annual symposium on Computational geometry
Addressing the Need for Map-Matching Speed: Localizing Globalb Curve-Matching Algorithms
SSDBM '06 Proceedings of the 18th International Conference on Scientific and Statistical Database Management
Linear pattern matching algorithms
SWAT '73 Proceedings of the 14th Annual Symposium on Switching and Automata Theory (swat 1973)
Studying (non-planar) road networks through an algorithmic lens
Proceedings of the 16th ACM SIGSPATIAL international conference on Advances in geographic information systems
Reconstructing curves with sharp corners
Computational Geometry: Theory and Applications
StarTrack next generation: a scalable infrastructure for track-based applications
OSDI'10 Proceedings of the 9th USENIX conference on Operating systems design and implementation
Metric graph reconstruction from noisy data
Proceedings of the twenty-seventh annual symposium on Computational geometry
Mining large-scale, sparse GPS traces for map inference: comparison of approaches
Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining
Constructing street networks from GPS trajectories
ESA'12 Proceedings of the 20th Annual European conference on Algorithms
On vehicle tracking data-based road network generation
Proceedings of the 20th International Conference on Advances in Geographic Information Systems
Probabilistic street-intersection reconstruction from GPS trajectories: approaches and challenges
Proceedings of the Third ACM SIGSPATIAL International Workshop on Querying and Mining Uncertain Spatio-Temporal Data
CrowdAtlas: self-updating maps for cloud and personal use
Proceeding of the 11th annual international conference on Mobile systems, applications, and services
Graph reconstruction via distance oracles
ICALP'13 Proceedings of the 40th international conference on Automata, Languages, and Programming - Volume Part I
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We consider the problem of reconstructing a road network from a collection of path traces and provide guarantees on the accuracy of the reconstruction under reasonable assumptions. Our algorithm can be used to process a collection of polygonal paths in the plane so that shared structures (subpaths) among the paths in the collection can be discovered and the collection can be organized to allow efficient path similarity queries against new query paths on the same road network. This is a timely problem, as GPS and other location traces of both people and vehicles are becoming available on a large scale and there is a real need to create appropriate data structures and data bases for such data.