Comparison of Numerical Techniques for Euclidean Curvature

Authors

Derek Dalle, University of MinnesotaFollow

Abstract

This paper begins with a comparison of second-order numerical approx­imations to Euclidean curvature, and verifies that some of the approx­imations are invariant to Euclidean transformations. Also, higher-order Euclidean invariant numerical techniques are developed and tested. Consideration is given to strengths and weaknesses of each algorithm.

Author Bio

I am particularly interested in applied mathematics, and I am double-majoring in math and aerospace engineering. Other interests of mine include language, European history, and football. Upon graduation, I plan to pursue a Ph.D. in aerospace engineering.

Faculty Sponsor

Peter J. Olver

Recommended Citation

Dalle, Derek (2006) "Comparison of Numerical Techniques for Euclidean Curvature," Rose-Hulman Undergraduate Mathematics Journal: Vol. 7: Iss. 1, Article 12.
Available at: https://scholar.rose-hulman.edu/rhumj/vol7/iss1/12