Title :
Nonlinear multiscale analysis of three-dimensional echocardiographic sequences
Author :
Sarti, Alessandro ; Mikula, Karol ; Sgallari, Fiorella
Author_Institution :
Dept. of Math., California Univ., Berkeley, CA, USA
fDate :
6/1/1999 12:00:00 AM
Abstract :
Introduces 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 et al. (Arch. Rat. Mech. Anal., vol. 123, p. 200-57, 1993). 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.
Keywords :
echocardiography; image sequences; medical image processing; modelling; partial differential equations; medical diagnostic imaging; method accuracy; nonlinear multiscale analysis model; nonlinear scale space; numerical method; real sequences; space-time echocardiographic sequences; synthesized sequences; three-dimensional echocardiographic sequences; Anisotropic magnetoresistance; Echocardiography; Filtering; Heart; Image analysis; Mathematics; Motion pictures; Optical filters; Optical noise; Partial differential equations; Echocardiography, Three-Dimensional; Humans; Image Processing, Computer-Assisted; Models, Theoretical;
Journal_Title :
Medical Imaging, IEEE Transactions on
