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.
Dr. Peter J. Olver, Professor of Mathematics,University of Minnesotaolver@math.umn.edu
"Comparison of Numerical Techniques for Euclidean Curvature,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 7
, Article 12.
Available at: http://scholar.rose-hulman.edu/rhumj/vol7/iss1/12