Extreme elevation on a 2-manifold
Publication
, Journal Article
Agarwal, PK; Edelsbrunner, H; Harer, J; Wang, Y
Published in: Proceedings of the Annual Symposium on Computational Geometry
January 1, 2004
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.
Duke Scholars
Published In
Proceedings of the Annual Symposium on Computational Geometry
DOI
Publication Date
January 1, 2004
Start / End Page
357 / 365
Citation
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Agarwal, P. K., Edelsbrunner, H., Harer, J., & Wang, Y. (2004). Extreme elevation on a 2-manifold. Proceedings of the Annual Symposium on Computational Geometry, 357–365. https://doi.org/10.1145/997817.997871
Agarwal, P. K., H. Edelsbrunner, J. Harer, and Y. Wang. “Extreme elevation on a 2-manifold.” Proceedings of the Annual Symposium on Computational Geometry, January 1, 2004, 357–65. https://doi.org/10.1145/997817.997871.
Agarwal PK, Edelsbrunner H, Harer J, Wang Y. Extreme elevation on a 2-manifold. Proceedings of the Annual Symposium on Computational Geometry. 2004 Jan 1;357–65.
Agarwal, P. K., et al. “Extreme elevation on a 2-manifold.” Proceedings of the Annual Symposium on Computational Geometry, Jan. 2004, pp. 357–65. Scopus, doi:10.1145/997817.997871.
Agarwal PK, Edelsbrunner H, Harer J, Wang Y. Extreme elevation on a 2-manifold. Proceedings of the Annual Symposium on Computational Geometry. 2004 Jan 1;357–365.
Published In
Proceedings of the Annual Symposium on Computational Geometry
DOI
Publication Date
January 1, 2004
Start / End Page
357 / 365