Abstract
A unified framework for visual motion tracking of non-rigid objects with specific applications to the left ventricular endocardial wall motion is outlined. The theory considers both two dimensional contours and three dimensional surfaces and in each case uses an elastic model of the object with constraints on the types of motion allowed for tracking the movement. The basic theme in both two and three dimensional analysis is to match bending and stretching properties of shapes in consecutive time instances for deducing quantitative information about the motion of the LV wall. Several algorithms are presented, and applications to real and simulated data are included. At the end, future directions for research are discussed.
Preview
Unable to display preview. Download preview PDF.
References
Aggarwal JK (1986). Motion and Time-Varying Imagery — An Overview. Proceedings of the Workshop on Visual Motion. IEEE Computer Society Press, Washington, D.C., pp. 1–6.
Amini AA, Weymouth TE and Jain R. (1990). Using Dynamic Programming for Solving Variational Problems in Vision. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-12:855–867.
Amini AA. (1990). Using Dynamic Programming for Solving Variational Problems in Vision: Applications Involving Deformable Models for Contours and Surfaces. PhD Thesis. The University of Michigan, Ann Arbor.
Anandan P. (1989). A Computational Framework and an Algorithm for the Measurement of Visual Motion. International Journal of Computer Vision, Vol-2:283–310.
Areeda J Garcia E Vantrain K Brown D Waxman A and Berman D. (1982). A Comprehensive Method for Automatic Analysis of Rest/Exercise Ventricular Function from Radionuclide Angiography. Digital Imaging: Clinical Advances in Nuclear Medicine. Society of Nuclear Medicine, pp. 241–256.
Axel L and Dougherty L (1989). MR Imaging of Motion with Spatial Modulation of Magnetization. Radiology, Vol-171:841–845.
Ayache N Boissonnat JD Brunet E Cohen L Chieze JP Geiger B Monga O Rocchisani JM and Sander P (1989). Building Highly Structured Volume Representations in 3D Medical Images. Proceedings of Computer-Assisted Radiology, Springer-Verlag, Berlin, pp. 765–772.
Besl P and Jain R (1986). Invariant Surface Characteristics for 3D Object Recognition. Computer Vision, Graphics, and Image Processing, Vol-30:33–80.
Bookstein F (1989). Principal Warps: Thin-Plate Splines and the Decomposition of Deformations. IEEE Transactions on Pattern Analysis and Machine Intelligence, PAMI-11:567–585.
Collins S and Skorton D (1986). Cardiac Imaging and Image Processing. McGraw Hill, New York.
Courant R and Hilbert D (1957). Methods of Mathematical Physics. Interscience, London.
Duncan JS (1987). Knowledge Directed Left Ventricular Boundary Detection in Equilibrium Radionuclide Angiocardiography. IEEE Transactions on Medical Imaging, MI-6:325–336.
Duncan JS Smeulders A Lee F and Zaret B (1988). Measurement of End Diastolic Shape Deformity Using Bending Energy. Computers in Cardiology, pp. 277–280.
Duncan JS Lee F Smeulders A and Zaret B (1991). A Bending Energy Model for Measurement of Cardiac Shape Deformity. Accepted to IEEE Transactions on Medical Imaging.
Eisenhart LP (1955). A treatize on Differential Geometry of Curves and Surfaces. Ginn and Company, Boston.
Garcia EV Van Train K Maddahi J Prigat F (1985). Quantification of Rotational Thallium-201 Myocardial Tomography. Journal of Nuclear Medicine, Vol-26:17–26.
Gelberg H Brundage B Glantz S and Parmley W (1979). Quantitative Left Ventricular Wall Motion Analysis: A Comparison of Area, Chord and Radial Methods. Circulation, Vol-59:991–1000.
Goldgof D Lee H and Huang T (1988). Motion Analysis of Nonrigid Surfaces. Proceedings of IEEE conference on Computer Vision and Pattern Recognition. IEEE Computer Society Press, Washington, D.C., pp. 375–380.
Harris L Clayton P Marshall H and Warner H (1974). A Technique for the Detection of Asynergistic Motion in the Left Ventricle. Computers and Biomedical Research, Vol-7:380–394.
Hildreth EC (1984). The Measurement of Visual Motion. MIT Press. Cambridge, Massachusetts.
Huang T (1990). Modeling, Analysis, and Visualization of Nonrigid Object Motion. International Conference on Pattern Recognition, Atlantic City, N.J., pp. 361–364.
Ingels N Daughters D Stinson E and Alderman E (1975). Measurement of Midwall Myocardial Dynamics in Intact Man by Radiography of Surgically Implanted Markers. Circulation, Vol-52:859–867.
Kreyszig E (1975). Introduction to Differential Geometry and Riemanian Geometry. University of Toronto Press, Toronto, Canada.
Landau L and Lifshitz EM (1986). Theory of Elasticity. Pergamon Press, Oxford, England.
Lanzer P Botvonick E Schiller N (1984). Cardiac Imaging Using Gated Magnetic Resonance. Radiology, Vol-150:121–127.
Links J Douglass K and Wagner H (1980). Patterns of Ventricular Emptying by Fourier Analysis of Gated Blood Pool Studies. Journal of Nuclear Medicine, Vol-21:978–982.
Mailloux GE Bleau A Bertrand M and Petitclerc R (1987). Computer Analysis of Heart Motion from Two Dimensional Echocardiograms. IEEE Transactions on Biomedical Engineering, BME-34:356–364.
Millman R and Parker G (1977). Elements of Differential Geometry. Prentice-Hall. Englewood Cliffs, New Jersey.
Nagel HH (1978). Formation of an Object Concept by analysis of Systematic Time Variation in the Optically Perciptible Environment. Computer Graphics and Image Processing, Vol-7:149–194.
Owen R Staib L Anandan P and Duncan J (1989). Measurement of Left Ventricular Wall Motion from Contour Shape Deformation. In: Information Processing in Medical Imaging. Ortendahl DA and Llacer J (eds.), Wiley-Liss, Inc., New York, pp. 541–556.
Raichlen JS Trivedi SS Herman GT St. John Sutton MG and Reichek N (1986). Dynamic three-dimensional reconstruction of the left ventricle from two-dimensional echocardiograms. Journal of the American College of Cardiology, Vol-8:364–370.
Sagawa K (1973). The Heart as a Pump. In: Engineering Principles in Physiology, Brown II and Gann (eds), Academic Press, New York. pp. 101–126.
Sheehan FH Bolson EL Dodge HT Mathey DG Schofer J and Woo HW (1986). Advantages and Applications of the Centerline Method for Characterizing Regional Ventricular Function. Circulation, Vol-74:293–305.
Slager C Hooghoudt T Serruys P Schuurbiers J Reiber J Meester G Verdouw P and Hugenholtz R (1986). Quantitative Assessment of Regional Left Ventricular Motion Using Endocardial Landmarks. JACC, Vol-7:317–326.
Staib L and Duncan JS (1989). Parametrically Deformable Contour Models. Computer Vision and Pattern Recognition. IEEE Computer Society Press, Washington, D.C. pp. 98–103.
Terzopoulos D (1987). Elastically Deformable Models. ACM Transactions on Computer Graphics, Vol-27:205–214.
Ullman (1979). Interpretation of Visual Motion. MIT Press, Cambridge, MA.
Zerhouni E Parish D Rogers W Yang A and Shapiro P (1988). Tagging of the Human Heart by Multiplanar Selective RF Saturation for the Analysis of Myocardial Contraction. Abstracts of the Annual Meeting of the Society of Magnetic Resonance in Imaging, San Francisco, California, page 10.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1991 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Amini, A.A., Owen, R.L., Anandan, P., Duncan, J.S. (1991). Non-rigid motion models for tracking the left-ventricular wall. In: Colchester, A.C.F., Hawkes, D.J. (eds) Information Processing in Medical Imaging. IPMI 1991. Lecture Notes in Computer Science, vol 511. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0033764
Download citation
DOI: https://doi.org/10.1007/BFb0033764
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-54246-9
Online ISBN: 978-3-540-47521-7
eBook Packages: Springer Book Archive