Math @ Duke

Publications [#235458] of Pankaj K. Agarwal
Papers Published
 Agarwal, PK; Edelsbrunner, H; Harer, J; Wang, Y, Extreme elevation on a 2manifold,
Proceedings of the Annual Symposium on Computational Geometry
(2004),
pp. 357365
(last updated on 2018/07/19)
Abstract: Given a smoothly embedded 2manifold in ℝ 3, we define the elevation of a point as the height difference to a canonically defined second point on the same manifold. Our definition is invariant under rigid motions and can be used to define features such as lines of discontinuous or continuous but nonsmooth elevation. We give an algorithm for finding points of locally maximum elevation, which we suggest mark cavities and protrusions and are useful in matching shapes as for example in protein docking.


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