Nonlinear Multiscale Analysis of 3D Echocardiographic Sequences

We introduce a new model for multiscale analysis of space-time echocardiographic sequences. 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 suggested and its stability is shown. The computational results are discussed. Keywords Echocardiography, image multiscale analysis, nonlinear scale space, partial differential equations, numerical solution I. Introduction Two-dimensional (2D) echocardiography is currently an imaging modality most frequently used in cardiology due to its simplicity, lack of ionizing radiation and a relative low cost. However, 2D echocardiography allows visualization of only tomographic planar sections of t..