Four-Dimensional LV Tissue Tracking from Tagged MRI with a 4D B-Spline Model

. Accurate delineation of the volumetric motion of left ventricle (LV) of the heart over time from tagged MRI is an important area of research. We have built a system that takes tagged short-axis (SA) and long-axis (LA) image sequences as input, fits a 4D B-spline model to the LV of the heart by simultaneously fitting knot solids to the SA and LA frame sequences via matching 3 sequences of model knot planes to LV tag planes for 4D tracking. The advantage of the 4D model is that 3D material point localization and displacement reconstruction is achieved in a single step. The generated 3D displacement fields are validated with a cardiac motion simulator, and 3D motion fields capturing in-vivo deformations in a parcine model of a LV with postero-lateral myocardial infarction are illustrated. 1 Introduction Noninvasive techniques for assessing the dynamic behavior of the human heart are invaluable in the diagnosis of ischemic heart disease, as abnormalities in the myocardial mo..

Proceedings of the Third International Workshop on Mathematical Foundations of Computational Anatomy - Geometrical and Statistical Methods for Modelling Biological Shape Variability

International audienceComputational anatomy is an emerging discipline at the interface of geometry, statistics and image analysis which aims at modeling and analyzing the biological shape of tissues and organs. The goal is to estimate representative organ anatomies across diseases, populations, species or ages, to model the organ development across time (growth or aging), to establish their variability, and to correlate this variability information with other functional, genetic or structural information. The Mathematical Foundations of Computational Anatomy (MFCA) workshop aims at fostering the interactions between the mathematical community around shapes and the MICCAI community in view of computational anatomy applications. It targets more particularly researchers investigating the combination of statistical and geometrical aspects in the modeling of the variability of biological shapes. The workshop is a forum for the exchange of the theoretical ideas and aims at being a source of inspiration for new methodological developments in computational anatomy. A special emphasis is put on theoretical developments, applications and results being welcomed as illustrations. Following the successful rst edition of this workshop in 20061 and second edition in New-York in 20082, the third edition was held in Toronto on September 22 20113. Contributions were solicited in Riemannian and group theoretical methods, geometric measurements of the anatomy, advanced statistics on deformations and shapes, metrics for computational anatomy, statistics of surfaces, modeling of growth and longitudinal shape changes. 22 submissions were reviewed by three members of the program committee. To guaranty a high level program, 11 papers only were selected for oral presentation in 4 sessions. Two of these sessions regroups classical themes of the workshop: statistics on manifolds and diff eomorphisms for surface or longitudinal registration. One session gathers papers exploring new mathematical structures beyond Riemannian geometry while the last oral session deals with the emerging theme of statistics on graphs and trees. Finally, a poster session of 5 papers addresses more application oriented works on computational anatomy