Evolutionary partial differential equations for biomedical image processing.
We are presenting here a model for processing space-time image sequences and applying them to 3D echo-cardiography. The non-linear evolutionary equations filter the sequence with keeping space-time coherent structures. They have been developed using ideas of regularized Perona-Malik an-isotropic diffusion and geometrical diffusion of mean curvature flow type (Malladi-Sethian), combined with Galilean invariant movie multi-scale analysis of Alvarez et al. A discretization of space-time filtering equations by means of finite volume method is discussed in detail. Computational results in processing of 3D echo-cardiographic sequences obtained by rotational acquisition technique and by real-time 3D echo volumetrics acquisition technique are presented. Quantitative error estimation is also provided.
Sarti
Alessandro
A
Department of Mathematics, Lawrence Berkeley National Laboratory, University of California, Berkeley, CA, USA. asarti@deis.unibo.it
Mikula
Karol
K
Sgallari
Fiorella
F
Lamberti
Claudio
C
D000465:Algorithms; D020811:Biomedical Technology; D019560:Echocardiography, Three-Dimensional; D007091:Image Processing, Computer-Assisted; D017711:Nonlinear Dynamics