Ellipse Fitting for Computer Vision

Kenichi Kanatani received his B.E., M.S., and Ph.D. in applied mathematics from the University of Tokyo in 1972, 1974, and 1979, respectively. After serving as Professor of computer science at Gunma University, Gunma, Japan, and Okayama University, Okayama, Japan, he retired in 2013 and is now Professor Emeritus of Okayama University. He was a visiting researcher at the University of Maryland, U.S., (1985-1986, 1988-1989, 1992), the University of Copenhagen, Denmark (1988), the University of Oxford, U.K. (1991), INRIA at Rhone Alpes, France (1988), ETH, Switzerland (2013), University of Paris-Est, France (2014), and Linkoping University, Sweden (2015). He is the author of K. Kanatani, Group-Theoretical Methods in Image Understanding (Springer, 1990), K. Kanatani, Geometric Computation for Machine Vision (Oxford University Press, 1993), K. Kanatani, Statistical Optimization for Geometric Computation: Theory and Practice (Elsevier, 1996; reprinted Dover, 2005), and K. Kanatani, Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics (AK Peters/CRC Press 2015). He received many awards including the best paper awards from IPSJ (1987), IEICE (2005), and PSIVT (2009). He is a Fellow of IEICE and IEEE.Yasuyuki Sugaya received his B.E., M.S., and Ph.D. in computer science from the University of Tsukuba, Ibaraki, Japan, in 1996, 1998, and 2001, respectively. After serving as Assistant Professor of computer science at Okayama University, Okayama, Japan, he is currently Associate Professor of computer science and engineering at Toyohashi University of Technology, Toyohashi, Aichi, Japan. His research interests include image processing and computer vision. He received the IEICE best paper award in 2005.Yasushi Kanazawa received his B.E. and M.S. degree in information engineering from Toyohashi University of Technology in 1985 and 1987, respectively, and his Ph.D in information and computer science from Osaka University in 1997. After engaging in research and development of image processing systems at Fuji Electric Co., Tokyo, Japan, and serving as Lecturer of Information and Computer Engineering at Gunma College of Technology, Gunma, Japan, he is currently Associate Professor of computer science and engineering at Toyohashi University of Technology, Aichi, Japan. His research interests include image processing and computer vision.

• Preface.- Introduction.- Algebraic Fitting.- Geometric Fitting.- Robust Fitting.- Ellipse-based 3-D Computation.- Experiments and Examples.- Extension and Generalization.- Accuracy of Algebraic Fitting.- Maximum Likelihood and Geometric Fitting.- Theoretical Accuracy Limit.- Answers.- Bibliography.- Authors' Biographies.- Index .