Processing of 2D and 3D Image Sequences
We introduce a new model for multiscale analysis of space-time image sequences (with application in echocardiography). The proposed nonlinear partial differential equation, representing the multiscale analysis, filters the sequence with keeping of the space-time coherent structures. It combines the ideas of regularized Perona-Malik anisotropic diffusion and Galilean invariant movie multiscale analysis of Alvarez, Guichard, Lions and Morel. The numerical method for solving the proposed partial differential equation is also suggested and its stability is shown.
Here, we present some computational results with artificial and real image sequences.
Figure 1. Original and noise-corupted sequence of six 2D images.
Figure 2. Reconstruction of the sequence using our model. We plot 1st, 2nd and 5th scale steps in columns.
Figures 3a-c. The multiscale analysis of 1st, 5th and 9th time step of the echocardiographic sequence. The shape of the left ventricle is extracted in those moments of cardiac cycle.
Related publications:
A.Sarti, K.Mikula, F.Sgallari,
Nonlinear multiscale analysis of 3D echocardiographic sequences,
to appear in
IEEE Transactions on Medical Imaging (1999)
