10.1007/s00454-006-1265-8
Agarwal, Pankaj K
Pankaj
Agarwal
Herbert Edelsbrunner
Herbert
Edelsbrunner0000-0002-9823-6833
Harer, John
John
Harer
Wang, Yusu
Yusu
Wang
Extreme elevation on a 2-manifold
Springer
2006
2018-12-11T12:06:15Z
2019-04-26T07:22:38Z
journal_article
https://research-explorer.app.ist.ac.at/record/3980
https://research-explorer.app.ist.ac.at/record/3980.json
Given a smoothly embedded 2-manifold 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 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.