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Set Membership Classification: A Unified Approach to Geometric Intersection Problems
Abstract
Many practically important problems in computational geometry may be regarded as a generalization of "clipping," and may be formulated precisely in terms of a function called "membership classification." This function operates on a pair of point sets called the reference and candidate sets; it segments the candidate into three subsets which are "inside," "outside," and "on the boundary of" the reference. Examples of classification problems include clipping, polygon intersection, point inclusion, and solid interference.
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Cited by
Representations for Rigid Solids: Theory, Methods, and Systems
Requicha, A. G. (1980) · ACM Computing Surveys · doi:10.1145/356827.356833 · Cited by 1,436
A foundation for representing and querying moving objects
Güting, R. H., Böhlen, M. H., Erwig, M., Jensen, C. S., Lorentzos, N. A., Schneider, M., & Vazirgiannis, M. (2000) · ACM Transactions on Database Systems · doi:10.1145/352958.352963 · Cited by 758
Shapiro, V. (2002) · Handbook of Computer Aided Geometric Design · doi:10.1016/b978-044451104-1/50021-6 · Cited by 69
Metadata
- Authors
- Tilove
- Venue
- IEEE Transactions on Computers
- Published
- 1980-10
- Volume
- C-29
- Issue
- 10
- Pages
- 874-883
- ISSN
- 0018-9340 (ISSN-L)
- 1557-9956
- 2326-3814
- OpenAlex
- W2029322949
- Cited by
- 294
- References
- 0
- FWCI
- 12.15
- Type
- journal article
- Language
- en
- Open access
- closed
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- Tilove. (1980). Set Membership Classification: A Unified Approach to Geometric Intersection Problems. IEEE Transactions on Computers. https://doi.org/10.1109/tc.1980.1675470
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
