A New Dynamic FEM-based Subdivision Surface Model For Shape Recovery And Tracking In Medical Images

. A new dynamic FEM-based subdivision surface model is proposed to reconstruct and track shapes of interest from multi-dimensional medical images. The model is based on the buttery subdivision scheme, a popular subdivision technique for generating smooth C 1 (rst derivative continuous) surfaces of arbitrary topology, and is embedded in a physics-based modeling paradigm. This hierarchical model needs very few degrees of freedom (control vertices) to accurately recover and track complex smooth shapes of arbitrary topology. A novel technique for locally parameterizing the smooth surface of arbitrary topology generated by the buttery scheme is described; physical quantities required to develop the dynamic model are introduced, and the governing dynamic dierential equation is derived using Lagrangian mechanics and the - nite element method. Our experiments demonstrate the eÆcacy of the modeling technique for eÆcient shape recovery and tracking in multidimensional medical images. 1 In..