2013
DOI: 10.1371/journal.pone.0068615
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A Geometrical Approach for Automatic Shape Restoration of the Left Ventricle

Abstract: This paper describes an automatic algorithm that uses a geometry-driven optimization approach to restore the shape of three-dimensional (3D) left ventricular (LV) models created from magnetic resonance imaging (MRI) data. The basic premise is to restore the LV shape such that the LV epicardial surface is smooth after the restoration and that the general shape characteristic of the LV is not altered. The Maximum Principle Curvature () and the Minimum Principle Curvature () of the LV epicardial surface are used … Show more

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Cited by 8 publications
(4 citation statements)
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“…In our earlier study, we have encountered data with large distortion from breath hold motions, which critically undermined the accuracy of function assessment. We proposed the method to recover the distorted shape in [ 29 ]. The registration step in this article could eliminate this distortion before shape modeling.…”
Section: Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…In our earlier study, we have encountered data with large distortion from breath hold motions, which critically undermined the accuracy of function assessment. We proposed the method to recover the distorted shape in [ 29 ]. The registration step in this article could eliminate this distortion before shape modeling.…”
Section: Resultsmentioning
confidence: 99%
“…One group of approaches is image-based approaches [ 26 ]. The other is geometry-based approaches [ 27 29 ]. The image-based approaches are inherently inaccurate due to the large slice spacing and the complex nature of images such as the inhomogeneity and non-uniformity as well as the existence of papillary muscles.…”
Section: Methodsmentioning
confidence: 99%
“…This restoration is achieved by iterative in-plane translation of both the LV epicardial and endocardial contour vertices via minimization of an objective function based on the principal curvatures of the LV epicardial surface. Further details of the restoration algorithm can be found in our previous publications (Tan et al, 2013 ; Su et al, 2014 ).…”
Section: Methodsmentioning
confidence: 99%
“…This idealized and oversimplified assumption was also used in [ 16 ]. Tan et al [ 17 ] addressed the motion correction problem as the minimization of a certain energy function regarding curvature of the reconstructed LV shape. The assumption used is that the LV shape is convex for most vertices on the surface, which could be inaccurate or incorrect for highly variable cases—in particular, myocardial infarction patients with LV remodeling.…”
Section: Introductionmentioning
confidence: 99%