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Evolutionary partial differential equations for biomedical image processing
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DOI：10.1016/S1532-0464(02)00502-6.png)
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Abstract
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We are presenting here a model for processing space-time image sequences and applying them to 3D echo-cardiography. The non-linear evolutionary equations filter the sequence with keeping space-time coherent structures. They have been developed using ideas of regularized Perona-Malik an-isotropic diffusion and geometrical diffusion of mean curvature flow type (Malladi-Sethian), combined with Galilean invariant movie multi-scale analysis of Alvarez et al. A discretization of space-time filtering equations by means of finite volume method is discussed in detail. Computational results in processing of 3D echo-cardiographic sequences obtained by rotational acquisition technique and by real-time 3D echo volumetrics acquisition technique are presented. Quantitative error estimation is also provided. (C) 2002 Elsevier Science (USA). All rights reserved.
Keywords:
medical imaging
echo-cardiography
motion based image filtering
image multi-scale analysis
non-linear partial differential equations
numerical solution
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