Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke





.......................

.......................


Publications [#235495] of Pankaj K. Agarwal

Papers Published

  1. Agarwal, PK; Har-Peled, S; Yu, H, Embeddings of surfaces, curves, and moving points in euclidean space, Proceedings of the Annual Symposium on Computational Geometry (2007), pp. 381-389 [doi]
    (last updated on 2017/12/14)

    Abstract:
    In this paper we show that dimensionality reduction (i.e., Johnson-Lindenstrauss lemma) preserves not only the distances between static points, but also between moving points, and more generally between low-dimensional flats, polynomial curves, curves with low winding degree, and polynomial surfaces. We also show that surfaces with bounded doubling dimension can be embedded into low dimension with small additive error. Finally, we show that for points with polynomial motion, the radius of the smallest enclosing ball can be preserved under dimensionality reduction. Copyright 2007 ACM.

 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320