SUPPLEMENTARY MATERIALS : A Variational Model Dedicated to Joint 1 Segmentation , Registration and Atlas Generation for Shape Analysis ∗ 2

∗Submitted to the editors DATE. Funding: This project is co-financed by the European Union with the European regional development fund (ERDF, HN0002137) and by the Normandie Regional Council via the M2NUM project. †Department of Applied Mathematics and Theoretical Physics (DAMPT), Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 OWA, UK (nd448@cam.ac.uk,cbs31@cam.ac.uk). ‡Statslab, Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK (j.aston@statslab.cam.ac.uk). §IBISC, Université d’Évry, 36, Rue du Pelvoux, CE1455 Courcouronnes, 91020 Evry Cédex, France (fabien.bonardi@univ-evry.fr). ¶National Physical Laboratory, Hampton Road, Teddington, Middlesex, TW11 0LW UK (alistair.forbes, marina.romanchikova@npl.co.uk). ‖Normandie Univ, Institut National des Sciences Appliquées de Rouen, Laboratory of Mathematics, 76000 Rouen, France (carole.le-guyader@insa-rouen.fr). SM1