Geodesic regression on spheres : a numerical optimization approach

• Author(s): Machado, L. ; Monteiro, M. Teresa T.
• Date: 2013
• Persistent ID: http://hdl.handle.net/1822/26332
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Manifolds; Geodesics; Geodesic distance; Normal equations; Constrained nonlinear optimization; SQP
• Document Type: Conference Object
• Language: English

Description

In this paper we address the problem of finding a geodesic curve that best fits a given set of time-labeled points on a sphere. Since the corresponding normal equations are highly non-linear, we formulate the problem as a constrained nonlinear optimization problem and solve it using the routine fmincon from MATLAB with the SQP (Sequential Quadratic Programming) algorithm.