Highly Influenced

# How to get close to the median shape

@article{HarPeled2007HowTG, title={How to get close to the median shape}, author={Sariel Har-Peled}, journal={Comput. Geom.}, year={2007}, volume={36}, pages={39-51} }

- Published 2007 in Comput. Geom.
DOI:10.1016/j.comgeo.2006.02.003

In this paper, we study the problem of L1-fitting a shape to a set of n points in IR (where d is a fixed constant), where the target is to minimize the sum of distances of the points to the shape, or alternatively the sum of squared distances. We present a general technique for computing a (1 + ε)-approximation for such a problem, with running time O(n+poly(log n, 1/ε)), where poly(log n, 1/ε) is a polynomial of constant degree of log n and 1/ε (the power of the polynomial is a function of d… CONTINUE READING