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Updated: Sep 28, 2026

2D and 3D Echocardiography in the Axolotl (Ambystoma Mexicanum)
Published on: November 29, 2018
Nonlinear multiscale analysis of three-dimensional echocardiographic sequences
A Sarti1, K Mikula, F Sgallari
1Department of Mathematics, University of California, Berkeley, USA.
Abstract:
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 while keeping the space-time coherent structures. It combines the ideas of regularized Perona-Malik anisotropic diffusion and the Galilean invariant movie multiscale analysis of Alvarez, Guichard, Lions and Morel. A numerical method for solving the proposed partial differential equation is suggested and its stability is shown. Computational results on synthesized and real sequences are provided. A qualitative and quantitative evaluation of the accuracy of the method is presented.

