On the Use of the Klein Quadric for Geometric Incidence Problems in Two Dimensions
- Submitting institution
-
London South Bank University
- Unit of assessment
- 12 - Engineering
- Output identifier
- 161896
- Type
- D - Journal article
- DOI
-
10.1137/16M1059412
- Title of journal
- SIAM Journal on Discrete Mathematics
- Article number
- -
- First page
- 934
- Volume
- 30
- Issue
- 2
- ISSN
- 0895-4801
- Open access status
- Out of scope for open access requirements
- Month of publication
- May
- Year of publication
- 2016
- URL
-
https://epubs.siam.org/doi/10.1137/16M1059412?mobileUi=0&
- Supplementary information
-
-
- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
-
1
- Research group(s)
-
B - Cognitive Systems Research Centre
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- In this paper the geometry of the Klein quadric of lines in three-dimensional space is introduced into Computational geometry. Although familiar in Kinematics this appears to be unknown in Computational geometry despite the concept of the space of lines being used to solve a problem of Erdős on the number of distinct distances between points in the plane. Knowledge of the geometry of the Klein quadric allows simpler proofs to be given. Other, related problems are solved for the first time in the paper. This collaboration resulted from a seminar given by the first author at London South Bank University.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -