Archivio Istituzionale della RicercaThis paper discusses the problem of approximating data points in n-dimensional Euclidean space, using spherical and ellipsoidal surfaces. For the specific cases of n = 2 and n = 3, the problem is of fundamental importance id computer vision and robotics. A closed form solution is provided for spherical approximation, while an efficient, globally optimal solution for the ellipsoidal problem is proposed in terms of semidefinite programming (SDP). The paper also presents a result for robust fitting in the presence of outliers, and illustrates the theory with several numerical examples
Image Data Simplification using Spherical and Ellipsoidal Primitives / Calafiore, Giuseppe Carlo. - STAMPA. - 2:(2001), pp. 771-776. (Intervento presentato al convegno IEEE Systems, Man, and Cybernetics Conference tenutosi a Tucson, AZ nel 07-10 Oct 2001) [10.1109/ICSMC.2001.973008].
Image Data Simplification using Spherical and Ellipsoidal Primitives
CALAFIORE, Giuseppe Carlo
2001
Abstract
This paper discusses the problem of approximating data points in n-dimensional Euclidean space, using spherical and ellipsoidal surfaces. For the specific cases of n = 2 and n = 3, the problem is of fundamental importance id computer vision and robotics. A closed form solution is provided for spherical approximation, while an efficient, globally optimal solution for the ellipsoidal problem is proposed in terms of semidefinite programming (SDP). The paper also presents a result for robust fitting in the presence of outliers, and illustrates the theory with several numerical examples
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https://hdl.handle.net/11583/1408984
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