Sparse Optimal Control Software (SOCS) - Applications

Minimum Curvature Multivariate Data Fitting

A minimum curvature bivariate cubic B-spline approximation to tabular data can be obtained by solving a sparse nonlinear program. This process is the basis of general-purpose software for computing "well-behaved" approximations to tabular data. A complete discussion can be found in "The Application of Sparse Least Squares in Aerospace Design Problems," John T. Betts, in Optimal Design and Control, J. Borggaard, J. Burkardt, M. Gunzburger, and J. Peterson, Editors, Birkhauser, 1995, pp. 81-96.Surface Image