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

Math @ Duke



Publications [#235522] of Pankaj K. Agarwal

Papers Published

  1. Agarwal, PK; Efrat, A; Sharathkumar, R; Yu, H, On approximate geodesic-distance queries amid deforming point clouds, Springer Tracts in Advanced Robotics, vol. 57 (2010), pp. 351-365, ISSN 1610-7438 [doi]
    (last updated on 2018/10/23)

    We propose data structures for answering a geodesic-distance query between two query points in a two-dimensional or three-dimensional dynamic environment, in which obstacles are deforming continuously. Each obstacle in the environment is modeled as the convex hull of a continuously deforming point cloud. The key to our approach is to avoid maintaining the convex hull of each point cloud explicitly but still able to retain sufficient geometric information to estimate geodesic distances in the free space. © 2009 Springer-Verlag.
ph: 919.660.2800
fax: 919.660.2821

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