Robust detection and ordering of ellipses on a calibration pattern

The aim of this work is to accurately estimate from an image the parameters of some ellipses and their relative positions with respect to a given pattern. The process is characterized because it is fully automated and is robust against image noise and occlusions. We have built a calibrator pattern with two planes each containing several ordered circles in known 3D positions. Our method is able to estimate the position of every ellipse and to put them into correspondence with the original calibrator circles. The text was submitted by the authors in English. Luis álvarez received an MS in applied mathematics in 1985 and a PhD in mathematics in 1988, both from CompIntense University (Madrid, Spain). Between 1991 and 1992, he worked as a postdoctoral researcher at CEREMADE, Université Paris IX—Dauphine (France). Currently, he is with the Computer Science Department of the University of Las Palmas de Gran Canaria. His research interests are computer vision and partial differential equations. He is the scientific leader of computer vision group of the University of Las Palmas named AMI. Agustín Salgado received an MS in computer science in from the University of Las Palmas de Gran Canaria (Las Palmas, Spain). Currently, he holds a grant from the Computer Science Department of the University of Las Palmas de Gran Canaria, where he is working on his doctoral thesis under the direction of Javier Sánchez. Javier Sánchez received an MS in computer science in 1997 and a PhD in computer science in 2001, both from the University of Las Palmas de Gran Canaria (Las Palmas, Spain). Between 1997 and 1998, he attended some courses of the DBA 127 “Informatique: Systemes Intelligentes” at the Université Paris IX—Dauphine (France). Currently, he is a lecturer at the Computer Science Department of the University of Las Palmas de Gran Canaria. His research interests are computer vision and partial differential equations, specially applied to stereoscopic vision and optical flow estimation.