RT Journal Article T1 Ensemble ellipse fitting by spatial median consensus A1 Thurnhofer-Hemsi, Karl A1 Lopez-Rubio, Ezequiel A1 Blazquez-Parra, Elidia Beatriz A1 Ladron-de-Guevara-Munoz, M. Carmen A1 de-Cozar-Macias, Oscar David K1 ellipse fitting K1 conic fitting K1 ensemble methods K1 L1-norm K1 spatial median consensus K1 Group decision-making K1 Computer vision K1 Planar curves K1 Models K1 Scale K1 Approximation K1 Regression K1 Surfaces K1 Fit AB Ellipses are among the most frequently used geometric models in visual pattern recognition and digital image analysis. This work aims to combine the outputs of an ensemble of ellipse fitting methods, so that the deleterious effect of suboptimal fits is alleviated. Therefore, the accuracy of the combined ellipse fit is higher than the accuracy of the individual methods. Three characterizations of the ellipse have been considered by different researchers: algebraic, geometric, and natural. In this paper, the natural characterization has been employed in our method due to its superior performance. Furthermore, five ellipse fitting methods have been chosen to be combined by the proposed consensus method. The experiments include comparisons of our proposal with the original methods and additional ones. Several tests with synthetic and bitmap image datasets demonstrate its great potential with noisy data and the presence of occlusion. The proposed consensus algorithm is the only one that ranks among the first positions for all the tests that were carried out. This demonstrates the suitability of our proposal for practical applications with high occlusion or noise. (c) 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BYNC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). PB Elsevier science inc SN 0020-0255 YR 2021 FD 2021-08-18 LK https://hdl.handle.net/10668/27869 UL https://hdl.handle.net/10668/27869 LA en DS RISalud RD Apr 6, 2025