A crucial problem in shape deformation analysis is to determine a deformation of a given
shape into another one, which is optimal for a certain cost. It has a number of applications in …

Assessment of mitral valve (MV) function is important in many diagnostic, prognostic, and
surgical planning applications for treatment of MV disease. Yet, to date, there are no …

In a relatively short span, technological developments in cardiovascular imaging have
infiltrated every aspect of practice, with noticeable improvements in diagnosis and impact on …

We present formulations and numerical algorithms for solving diffeomorphic shape matching
problems. We formulate shape matching as a variational problem governed by a dynamical …

Background We studied the results of a dynamic mitral repair technique that preserves
normal mitral valve function by avoiding leaflet resection and rigid and semirigid …

Objectives The aim of this study was to quantitate patient-specific mitral valve (MV) strain in
normal valves and in patients with mitral valve prolapse with and without significant mitral …

The clinical benefit of patient-specific modeling of heart valve disease remains an
unrealized goal, often a result of our limited understanding of the in vivo milieu. This is …

Background—A paucity of data exists on mitral valve (MV) deformation during the cardiac
cycle in man. Real-time 3-dimensional (3D) echocardiography now allows dynamic …

Introduction: In this study, a method to assess local deformations along the mitral annulus
curve is proposed. Methods: It employs the known global geometry (from echocardiography) …

Background Advances in understanding dynamic mitral valve function have led to a repair
technique with no leaflet resection, accurate dynamic annular and chordal sizing, and …