Elastic Shape Analysis of Three-Dimensional Objects

Ian H. Jermyn received a B.A. Honours degree (First Class) in Physics from Oxford University, and a Ph.D. in Theoretical Physics from the University of Manchester, UK. After working as a postdoc at the International Centre for Theoretical Physics in Trieste, Italy, he studied for and received a Ph.D. in Computer Vision from the Computer Science department of the Courant Institute of Mathematical Sciences at New York University. He then joined the Ariana research group at INRIA Sophia Antipolis, France, first as a postdoctoral researcher, and then as a Senior Research Scientist. Since September 2010, he has been Associate Professor (Reader) in Statistics in the Department of Mathematical Sciences at Durham University. His research concerns statistical geometry: the statistical modeling of shape and geometric structure, particularly using random fields with complex interactions and Riemannian geometry. This work is motivated by problems of shape and texture modelling in image processing,computer vision, and computer graphics. Using a Bayesian approach, it has been extensively applied to different types of images, including biological and remote sensing imagery. He is also interested in information geometry as applied to inference.Sebastian Kurtek is currently an Assistant Professor in the Department of Statistics at The Ohio State University, which he joined in 2012. He received a B.S. degree in Mathematics from Tulane University in 2007, and M.S. and Ph.D. degrees in Biostatistics from Florida State University in 2009 and 2012, respectively. His main research interests include statistical shape analysis, functional data analysis, statistical image analysis, statistics on manifolds, medical imaging, and computational statistics. In particular, he is interested in the interplay between statistics and Riemannian geometry, and their role in developing solutions to various applied problems. He is a member of the American Statistical Association, Institute of Mathematical Statistics, and the IEEE.Hamid Laga received his Ph.D. degree in Computer Science from Tokyo Institute of Technology in 2006. He is currently an Associate Professor at Murdoch University (Australia) and an Adjunct Associate Professor with the Phenomics and Bioinformatics Research Centre (PBRC) of the University of South Australia (UniSA). His research interests span various fields of computer vision, computer graphics, and image processing, with a special focus on the 3D acquisition, modeling, and analysis of the shape of static and deformable 3D objects.Anuj Srivastava is a Professor of Statistics and a Distinguished Research Professor at the Florida State University. He obtained his Ph.D. degree in Electrical Engineering from Washington University in St. Louis in 1996 and was a visiting research associate at the Division of Applied Mathematics at Brown University during 1996-1997. He joined the Department of Statistics at the Florida State University in 1997 as an Assistant Professor, and was promoted to full Professor in 2007. He has held visiting positions at INRIA, France, University of Lille, France, and Durham University, UK. His areas of research interest include statistics on nonlinear manifolds, statistical image understanding, functional data analysis, and statistical shape theory. He has published more than 200 papers in refereed journals and proceedings of refereed international conferences. He has been an associate editor for leading journals in computer vision and image processing, including IEEE PAMI, IEEE TIP, JMIV, and CVIU. He is a fellow of IEEE, IAPR, and ASA.

• Preface.- Acknowledgments.- Problem Introduction and Motivation.- Elastic Shape Analysis: Metrics and Representations.- Computing Geometrical Quantities.- Statistical Analysis of Shapes.- Case Studies Using Human Body and Anatomical Shapes.- Landmark-driven Elastic Shape Analysis.- Bibliography.- Authors' Biographies .