We consider the problem of removing c points from a set S of n points so that the remaining point set is optimal in some sense. Definitions of optimality we consider include having minimum diameter, having minimum area (perimeter) bounding box, having minimum area (perimeter) convex hull. For constant values of c, all our algorithms run in O (n log n) time.

Additional Metadata
Keywords Computational geometry, Computational statistics, Outlier removal
Persistent URL dx.doi.org/10.1016/j.jda.2008.12.002
Journal Journal of Discrete Algorithms
Citation
Atanassov, R. (Rossen), Bose, P, Couture, M. (Mathieu), Maheshwari, A, Morin, P, Paquette, M. (Michel), … Wuhrer, S. (Stefanie). (2009). Algorithms for optimal outlier removal. Journal of Discrete Algorithms, 7(2), 239–248. doi:10.1016/j.jda.2008.12.002