Estimation of epicardial strain using the motions of coronary bifurcations in biplane cineangiography

A quantitative method for estimating epicardial deformation from the motion of the superficial coronary arteries is described. A structural model of the time-varying surface is constructed using tensor product basis functions which are bicubic Hermite in the spatial domain and sinusoidal in the temporal domain. The locii of the superficial coronary arteries are reconstructed interactively at diastasis and the bifurcations are tracked semiautomatically throughout as cardiac cycle. An initial surface is fitted to the vessels at diastasis and is subsequently deformed under the influence of the bifurcations. The Lagrange-Green strain tensor is used to obtain a complete description of surface strain over the entire region spanned by the model. The calculated deformation field varies smoothly over space and time and is not constrained by assumptions of isotropy or piecewise homogeneity. Results for a single cycle of a human heart are presented.<<ETX>>

[1]  J C Greenfield,et al.  The Three‐Dimensional Dynamic Geometry of the Left Ventricle in the Conscious Dog , 1976, Circulation research.

[2]  J. Covell,et al.  Transmural myocardial deformation in the ischemic canine left ventricle. , 1991, Circulation research.

[3]  W. Flügge,et al.  Tensor Analysis and Continuum Mechanics , 1972 .

[4]  Alistair A. Young,et al.  Epicardial surface estimation from coronary angiograms , 1989, Comput. Vis. Graph. Image Process..

[5]  H D McIntosh,et al.  Assessment of regional myocardial performance from biplane coronary cineangiograms. , 1971, The American journal of cardiology.

[6]  D.J. Anderson,et al.  Optimal Estimation of Contour Properties by Cross-Validated Regularization , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  R A Heinle,et al.  Localized disorders in myocardial contraction. Asynergy and its role in congestive heart failure. , 1967, The New England journal of medicine.

[8]  Kim L. Boyer,et al.  The laplacian-of-gaussian kernel: A formal analysis and design procedure for fast, accurate convolution and full-frame output , 1989, Comput. Vis. Graph. Image Process..

[9]  P. Hunter,et al.  The analysis of cardiac function: a continuum approach. , 1988, Progress in biophysics and molecular biology.

[10]  K. S. Arun,et al.  Least-Squares Fitting of Two 3-D Point Sets , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[11]  Jack Sklansky,et al.  Multiple-order derivatives for detecting local image characteristics , 1987 .

[12]  L. D. R. Smith,et al.  Four Dimensional Cardiac Imaging , 1986, Other Conferences.

[13]  D. D. Streeter.  Engineering Mechanics for Successive States in Canine Left Ventricular Myocardium: I. CAVITY AND WALL GEOMETRY , 1973, Circulation research.

[14]  Subhasis Chaudhuri,et al.  Estimation of motion parameters for a deformable object from range data , 1989, Proceedings CVPR '89: IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[15]  G. D. Meier,et al.  Kinematics of the Beating Heart , 1980, IEEE Transactions on Biomedical Engineering.

[16]  P. Besl.  Geometric modeling and computer vision , 1988, Proc. IEEE.

[17]  S A MacKay,et al.  Graphics methods for tracking three-dimensional heart wall motion. , 1982, Computers and biomedical research, an international journal.

[18]  Demetri Terzopoulos,et al.  Regularization of Inverse Visual Problems Involving Discontinuities , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[19]  S A MacKay,et al.  Methods for evaluating cardiac wall motion in three dimensions using bifurcation points of the coronary arterial tree. , 1983, Investigative radiology.

[20]  P J Bones,et al.  Translational motion compensation for coronary angiogram sequences. , 1989, IEEE transactions on medical imaging.

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

[22]  Y. Fung,et al.  Transmural Myocardial Deformation in the Canine Left Ventricle: Normal in Vivo Three‐Dimensional Finite Strains , 1985, Circulation research.