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COMPUTING THE FRÉCHET DISTANCE BETWEEN TWO POLYGONAL CURVES
Abstract
As a measure for the resemblance of curves in arbitrary dimensions we consider the so-called Fréchet-distance, which is compatible with parametrizations of the curves. For polygonal chains P and Q consisting of p and q edges an algorithm of runtime O(pq log(pq)) measuring the Fréchet-distance between P and Q is developed. Then some important variants are considered, namely the Fréchet-distance for closed curves, the nonmonotone Fréchet-distance and a distance function derived from the Fréchet-distance measuring whether P resembles some part of the curve Q.
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Citations
Cited by
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Veltkamp, R. C. (2002) · Proceedings International Conference on Shape Modeling and Applications · doi:10.1109/sma.2001.923389 · Cited by 434
Iterative Closest Graph Matching for Non-rigid 3d/2d Coronary Arteries Registration
Zhu, J., Li, H., Ai, D., Yang, Q., Fan, J., Huang, Y., Song, H., Han, Y., & Yang, J. (2021) · Computer Methods and Programs in Biomedicine · doi:10.1016/j.cmpb.2020.105901 · Cited by 22
Topological signatures for fast mobility analysis
Ghosh, A., Rozemberczki, B., Ramamoorthy, S., & Sarkar, R. (2018) · Proceedings of the 26th ACM SIGSPATIAL International Conference on Advances in Geographic Information Systems · doi:10.1145/3274895.3274952 · Cited by 12
Fréchet Kernel for Trajectory Data Analysis
Takeuchi, K., Imaizumi, M., Kanda, S., Tabei, Y., Fujii, K., Yoda, K., Ishihata, M., & Maekawa, T. (2021) · Proceedings of the 29th International Conference on Advances in Geographic Information Systems · doi:10.1145/3474717.3483949 · Cited by 4
Incentivizing Private Data Sharing in Vehicular Networks: A Game-Theoretic Approach
AlSaqabi, Y., & Krishnamachari, B. (2023) · 2023 IEEE 98th Vehicular Technology Conference (VTC2023-Fall) · doi:10.1109/vtc2023-fall60731.2023.10333865 · Cited by 2
Metadata
- Authors
- ALT, H., & GODAU, M.
- Venue
- International Journal of Computational Geometry & Applications
- Publisher
- World Scientific Pub Co Pte Lt
- Published
- 1995-03
- Volume
- 05
- Issue
- 01n02
- Pages
- 75-91
- ISSN
- 0218-1959 (ISSN-L)
- 1793-6357
- OpenAlex
- W2124299914
- Cited by
- 1,039
- References
- 0
- FWCI
- 1.32
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: COMPUTING THE FRÉCHET DISTANCE BETWEEN TWO POLYGONAL CURVES. https://app.cochat.ai/papers/10.1142/s0218195995000064
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- ALT, H., & GODAU, M. (1995). COMPUTING THE FRÉCHET DISTANCE BETWEEN TWO POLYGONAL CURVES. International Journal of Computational Geometry & Applications. https://doi.org/10.1142/s0218195995000064
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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