Two-dimensional spatial and temporal displacement and deformation field fitting from cardiac magnetic resonance tagging

Tagged magnetic resonance imaging is a specially developed technique to noninvasively assess contractile function of the heart. Several methods have been developed to estimate myocardial deformation from tagged image data. Most of these methods do not explicitly impose a continuity constraint through time although myocardial motion is a continuous physical phenomenon. In this paper, we propose to model the spatio-temporal myocardial displacement field by a cosine series model fitted to the entire tagged dataset. The method has been implemented in two dimensions (2D)+time. Its accuracy was successively evaluated on actual tagged data and on a simulated two-dimensional (2D) moving heart model. The simulations show that an overall theoretical mean accuracy of 0.1 mm can be attained with adequate model orders. The influence of the tagging pattern was evaluated and computing time is provided as a function of the model complexity and data size. This method provides an analytical and hierarchical model of the 2D+time deformation inside the myocardium. It was applied to actual tagged data from a healthy subject and from a patient with ischemia. The results demonstrate the adequacy of the proposed model for this evaluation.

[1]  Elliot R. McVeigh,et al.  Optimization of tag thickness for measuring position with magnetic resonance imaging , 1994, IEEE Trans. Medical Imaging.

[2]  Elliot R. McVeigh,et al.  Analysis of Cardiac Function from MR Images , 1997, IEEE Computer Graphics and Applications.

[3]  E. McVeigh,et al.  Model‐free reconstruction of three‐dimensional myocardial strain from planar tagged MR images , 1997, Journal of magnetic resonance imaging : JMRI.

[4]  Philipp Beerbaum,et al.  Noninvasive Quantification of Left-to-Right Shunt in Pediatric Patients: Phase-Contrast Cine Magnetic Resonance Imaging Compared With Invasive Oximetry , 2001, Circulation.

[5]  Alistair A. Young,et al.  Tracking and finite element analysis of stripe deformation in magnetic resonance tagging , 1995, IEEE Trans. Medical Imaging.

[6]  R. Herfkens,et al.  Phase contrast cine magnetic resonance imaging. , 1991, Magnetic resonance quarterly.

[7]  Jerry L. Prince,et al.  Tag and contour detection in tagged MR images of the left ventricle , 1994, IEEE Trans. Medical Imaging.

[8]  L. Axel,et al.  Heart wall motion: improved method of spatial modulation of magnetization for MR imaging. , 1989, Radiology.

[9]  Patrick Clarysse,et al.  Fast 2D vector field visualization using a 2D texture synthesis based on an autoregressive filter : Application to cardiac imaging , 1998 .

[10]  Thomas S. Denney,et al.  Model-free reconstruction of 3-D myocardial strain from planar tagged MR images: precision and spatial resolution , 1997, Proceedings of the 1997 16 Southern Biomedical Engineering Conference.

[11]  Petia Radeva,et al.  Deformable B-Solids and Implicit Snakes for 3D Localization and Tracking of SPAMM MRI Data , 1997, Comput. Vis. Image Underst..

[12]  W. O'Dell,et al.  Three-dimensional myocardial deformations: calculation with displacement field fitting to tagged MR images. , 1995, Radiology.

[13]  Amir A. Amini,et al.  Coupled B-snake grids and constrained thin-plate splines for analysis of 2-D tissue deformations from tagged MRI , 1998, IEEE Transactions on Medical Imaging.

[14]  Stefaan Desmet,et al.  Three-dimensional motion and deformation estimation of deformable mesh , 2000, Electronic Imaging.

[15]  Nicholas Ayache,et al.  Definition of a four-dimensional continuous planispheric transformation for the tracking and the analysis of left-ventricle motion , 1998, Medical Image Anal..

[16]  L Axel,et al.  Circumferential Myocardial Shortening in the Normal Human Left Ventricle: Assessment by Magnetic Resonance Imaging Using Spatial Modulation of Magnetization , 1991, Circulation.

[17]  William H. Press,et al.  Numerical Recipes in FORTRAN - The Art of Scientific Computing, 2nd Edition , 1987 .

[18]  T. Mosher,et al.  A DANTE tagging sequence for the evaluation of translational sample motion , 1990, Magnetic resonance in medicine.

[19]  E. M. Dovgopol,et al.  OF THE HUMAN HEART , 1981 .

[20]  PhilippBeerbaum,et al.  Noninvasive Quantification of Left-to-Right Shunt in Pediatric Patients , 2001 .

[21]  Yudong Zhu,et al.  Estimation of deformation gradient and strain from cine-PC velocity data [cardiac magnetic resonance imaging] , 1997, IEEE Transactions on Medical Imaging.

[22]  Jerry L. Prince,et al.  Reconstruction of 3-D left ventricular motion from planar tagged cardiac MR images: an estimation theoretic approach , 1995, IEEE Trans. Medical Imaging.

[23]  D. Kraitchman,et al.  Right ventricular regional function using MR tagging: Normals versus chronic pulmonary hypertension , 1998, Magnetic resonance in medicine.

[24]  A. Young,et al.  Three-dimensional motion and deformation of the heart wall: estimation with spatial modulation of magnetization--a model-based approach. , 1992, Radiology.

[25]  E. Zerhouni,et al.  Human heart: tagging with MR imaging--a method for noninvasive assessment of myocardial motion. , 1988, Radiology.

[26]  James S. Duncan,et al.  Tracking myocardial deformation using phase contrast MR velocity fields: a stochastic approach , 1996, IEEE Trans. Medical Imaging.

[27]  L. Axel,et al.  Regional heart wall motion: two-dimensional analysis and functional imaging with MR imaging. , 1992, Radiology.

[28]  Alistair A. Young,et al.  Model Tags: Direct 3D Tracking of Heart Wall Motion from Tagged Magnetic Resonance Images , 1998, MICCAI.

[29]  V. Wedeen.  Magnetic resonance imaging of myocardial kinematics. technique to detect, localize, and quantify the strain rates of the active human myocardium , 1992, Magnetic resonance in medicine.

[30]  P Boesiger,et al.  Evaluation of Left Ventricular Segmental Wall Motion in Hypertrophic Cardiomyopathy With Myocardial Tagging , 1992, Circulation.

[31]  Jinah Park,et al.  Analysis of left ventricular wall motion based on volumetric deformable models and MRI-SPAMM , 1996, Medical Image Anal..

[32]  Nicholas Ayache,et al.  Use of a 4D planispheric transformation for the tracking and analysis of LV motion with tagged MR images , 1999, Medical Imaging.

[33]  R Beyar,et al.  Noninvasive quantification of left ventricular rotational deformation in normal humans using magnetic resonance imaging myocardial tagging. , 1990, Circulation.

[34]  W. O'Dell,et al.  Calculation of three‐dimensional left ventricular strains from biplanar tagged MR images , 1992, Journal of magnetic resonance imaging : JMRI.

[35]  William M. Wells,et al.  Medical Image Computing and Computer-Assisted Intervention — MICCAI’98 , 1998, Lecture Notes in Computer Science.

[36]  Daniel K. Bogen,et al.  A Strain Energy Approach to Regularization in Displacement Field Fits of Elastically Deforming Bodies , 1996, IEEE Trans. Pattern Anal. Mach. Intell..