Numerical solution of the regularized
mean curvature flow in the level set formulation with application
in 3D-echocardiography
The echocardiography images of the left ventricle in the different
moments of cardiac cycle are smoothed by mean curvature flow.
It means, we solve the corresponding partial differential equation
(regularized level set equation) together with the zero Neumann
boundary conditions and with the initial state given by processed
image. The silhouette of the medical object is implicitely smoothed
by curvature driven motion of the corresponding surface.
In the left hand sides of the Figures, there are original images,
on the right hand sides their smoothed versions. Figure 1. - systole,
Figures 2.- 3. - the left ventricle in open phase, Figure 4.-
diastole.
Related publications:
-
A.Handlovicova, K.Mikula, A.Sarti,
Numerical solution of parabolic equations related to
level set formulation of mean curvature flow,
Computing and Visualization in Science , Vol.1, No. 3 (1998) pp. 179-182
-
K.Mikula, Numerical experiments on geometry driven diffusion with
applications
in image processing, Science and Supercomputing at CINECA,
Report 1997 (Ed. M.Voli, CINECA
Supercomputing Group) (1998) pp. 689-692
-
F.Brancaleoni, K.Mikula, A.Sarti, C.Lamberti:
3D echocardiography pre-processing for ventricular volume estimation,
Computers in Cardiology, IEEE Comp. Soc. Press,
Los Alamitos (Proceedings of the 1997 24th
Annual Meeting on Computers in Cardiology, Lund, Sweden) (1997) pp. 311-314
-
K.Mikula, A.Sarti, C.Lamberti: Geometrical diffusion in
3D-echocardio-graphy,
Proceedings of contributed papers and posters,
ALGORITMY'97, Conference on Scientific Computing, West Tatra
Mountains (1997) pp. 167-181
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