Skip to Main content Skip to Navigation
Conference papers

Witnessed k-distance

Abstract : Distance function to a compact set plays a central role in several areas of computational geometry. Methods that rely on it are robust to the perturbations of the data by the Hausdorff noise, but fail in the presence of outliers. The recently introduced distance to a measure offers a solution by extending the distance function framework to reasoning about the geometry of probability measures, while maintaining theoretical guarantees about the quality of the inferred information. A combinatorial explosion hinders working with distance to a measure as an ordinary power distance function. In this paper, we analyze an approximation scheme that keeps the representation linear in the size of the input, while maintaining the guarantees on the inference quality close to those for the exact but costly representation.
Document type :
Conference papers
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-00872490
Contributor : Brigitte Bidégaray-Fesquet <>
Submitted on : Sunday, October 13, 2013 - 5:54:05 PM
Last modification on : Friday, February 26, 2021 - 9:30:02 AM

Identifiers

Collections

Citation

Leonidas J. Guibas, Quentin Mérigot, Dmitriy Morozov. Witnessed k-distance. SoCG 2011 - 27th Annual Symposium on Computational Geometry, Jun 2011, Paris, France. pp.57-64, ⟨10.1145/1998196.1998205⟩. ⟨hal-00872490⟩

Share

Metrics

Record views

385