Duke Applied Mathematics

Publications [#243589] of John Harer

Papers Published

1. with Agarwal, PK; Edelsbrunner, H; Harer, J; Wang, Y, Extreme elevation on a 2-manifold, Proceedings of the Annual Symposium on Computational Geometry (January, 2004), pp. 357-365 [doi]
   (last updated on 2024/04/19)

   Abstract:
   Given a smoothly embedded 2-manifold in ℝ3, 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 non-smooth 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.