Regularization of blood motion fields by modified Navier-Stokes equations

Medical Engineering and Physics

Volumn 21, Issue 1, 1999, Pages 27-36

  Tura, A ^a   Sarti, A ^b   Gaens, T ^c   Lamberti, C ^a  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Navier Stokes equations; Regularization; Velocity field; Ventricular dynamics

Indexed keywords

BLOOD VESSELS; ECHOCARDIOGRAPHY; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; SPURIOUS SIGNAL NOISE;

TIKHONOV-TYPE REGULARIZATION METHOD;

HEMODYNAMICS;

ACCURACY; ANALYTIC METHOD; ARTICLE; BLOOD FLOW VELOCITY; DIASTOLE; FLOW RATE; HEART LEFT VENTRICLE; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; TECHNIQUE;

EID: 0032921435     PISSN: 13504533     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1350-4533(99)00019-3     Document Type: Article

References (20)

1. Uras S., Ginosi F., Verri A., Torre V. A computational approach to motion perception. Biol Cybern. 60:1988;79-87.
2. Horn B.K.P., Schunck B.G. Determining optical flow. Artif Intell. 17:1981;185-203.
3. Poggio T., Torre V., Koch C. Computational vision and regularization theory. Nature. 317:1985;314-319.
4. Verri A, Poggio T. Motion field and optical flow qualitative properties. AIL, Memo 917, Massachussets Institute of Technology, Cambridge, MA, 1986.
5. Marr D. Vision. San Francisco, Freeman, 1982.
6. Tikhonov A.N. Solutions of incorrectly formulated problems and the regularization method. Soviet Math Dokl. 4:1963;1035-1038.
7. Tikhonov AN, Arsenin VY. Solutions of ill-posed problems. Washington, Winston & Sons, 1977.
8. Nanda NC. Doppler Echocardiography, Philadelphia Lea & Febiger, 1993.
9. Potchen EJ, Siebert JE, Haacke EM, Gottschalk A. Magnetic Resonance Angiography concepts and applications. St Louis Mosby, 1993.
10. Anthes R.A. Data assimilation and initialization of Hurricane prediction models. J Atmos Sci. 31:1974;702-719.
11. Temam R. Navier-Stokes equations theory and numerical analysis. Amsterdam North-Holland Publishing Company, 1977.
12. Schechter RS. The variational method in engineering. New York, McGraw Hill Book Company, 1967.
13. Hunter SC. Mechanics of continuous media. New York Wiley & Sons, 1983.
14. Song S.M., Leahy R.M., Boyd D.P., Brundage B.H., Napel S. Determining cardiac velocity fields and intraventricular pressure distribution from a sequence of ultrafast CT cardiac images. IEEE Trans Med Imaging. 13:1994;386-397.
15. Neubauer A. An a posteriori parameter choice for Tikhonov regularization in the presence of modeling error. Appl Num Math. 4:1988;507-519.
16. Jin Q., Hou Z. On the choice of the regularization parameter for ordinary and iterated Tikhonov regularization of nonlinear ill-posed problems. Inverse Problems. 13:1997;815-827.
17. Sarti A, Lamberti C. Displacement field computation from 3D echocardiographic sequences. IEEE Computers in Cardiology 1995;749-752.
18. Peskin CS, McQueen DM. Cardiac fluid dynamics. In: High-performance computing in biomedical research, London: CRC Press 1993:51-9.
19. Guebel M, Dornseifer T, Neunhoeffer T. Numerische Simulation in der Strumungsmechanik - eine prarisorientierte Einfuehrung Vieweg, 1995.
20. Chorin A. Numerical solution of the Navier-Stokes equations. Math Comp. 22:1968;745-762.