RT Journal Article
T1 Robust  fitting of ellipsoids with adaptive step size control
A1 López-Rubio, Ezequiel
A1 Thurnhofer-Hemsi, Karl
A1 De-Cózar-Macías, Óscar
A1 Blázquez-Parra, Elidia Beatriz
A1 Muñoz-Pérez, José
A1 Ladrón-de-Guevara-López, Isidro
K1 Elipsoides
AB Fitting geometric or algebraic surfaces to 3D data is a pervasive problem in many  fields of science and engineering. In particular, ellipsoids are some of the most employed features in computer graphics and sensor calibrations. They are also useful in pattern recognition, computer vision, body detection and electronic device design. Standard ellipsoid fitting techniques to solve this problem involve the minimization of squared errors. However, most of these procedures are sensitive to noise. Here, we propose a method based on the minimization of absolute errors. Although our algorithm is iterative, an adaptive step size is used to achieve a faster convergence. This leads to a substantial improvement in robustness against outlier data. The proposal is demonstrated with several computational examples which comprise synthetic data and real data from a 3D scanner and a stereo camera.
PB Springer
YR 2017
FD 2017-06
LK https://hdl.handle.net/10630/32802
UL https://hdl.handle.net/10630/32802
LA eng
NO López-Rubio, E., Thurnhofer-Hemsi, K., de Cózar-Macías, Ó.D. et al. Robust Fitting of Ellipsoids by Separating Interior and Exterior Points During Optimization. J Math Imaging Vis 58, 189–210 (2017). https://doi.org/10.1007/s10851-016-0700-6
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 24 ene 2026