title: Nonlinear multiscale analysis of three-dimensional echocardiographic sequences.
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.
authors.affiliation: Department of Mathematics, University of California, Berkeley, USA.
authors.forename: A
authors.initials: A
authors.lastname: Sarti
authors.forename: K
authors.initials: K
authors.lastname: Mikula
authors.forename: F
authors.initials: F
authors.lastname: Sgallari
mesh_terms: D019560:Echocardiography, Three-Dimensional / Q000379:methods*; D006801:Humans; D007091:Image Processing, Computer-Assisted; D008962:Models, Theoretical