@article{debroux:hal-03034316, TITLE = {{A Variational Model Dedicated to Joint Segmentation, Registration, and Atlas Generation for Shape Analysis}}, AUTHOR = {Debroux, No{\'e}mie and Aston, John and Bonardi, Fabien and Forbes, Alistair and Le Guyader, Carole and Romanchikova, Marina and Sch{\"o}nlieb, Carola-Bibiane}, URL = {https://uca.hal.science/hal-03034316}, JOURNAL = {{SIAM Journal on Imaging Sciences}}, PUBLISHER = {{Society for Industrial and Applied Mathematics}}, VOLUME = {13}, NUMBER = {1}, PAGES = {351-380}, YEAR = {2020}, MONTH = Jan, DOI = {10.1137/19M1271907}, KEYWORDS = {Segmentation ; registration ; nonlinear elasticity ; Ogden materials ; Potts model ; atlas generation ; asymptotic results ; D m -splines ; geometric PCA AMS subject classifications. 68U10 ; 49 ; 65D18 ; 41A15 ; 62H25}, PDF = {https://uca.hal.science/hal-03034316/file/ex_article.pdf}, HAL_ID = {hal-03034316}, HAL_VERSION = {v1}, }