@Article{EAJAM-12-111,
author = {Ahn , Chi Young and Yun , Sangwoon},
title = {Nonconvex Constrained Minimisation for 3D Left Ventricular Shape Recovery Using 2D Echocardiography Data},
journal = {East Asian Journal on Applied Mathematics},
year = {2021},
volume = {12},
number = {1},
pages = {111--124},
abstract = {<p style="text-align: justify;">A mathematical model in the form of a nonconvex constrained minimisation
problem, aimed to determine the 3D position of LV contours using 2D echocardiography
data for the entire cardiac cycle is proposed. It can be considered as a quadratically
constrained quadratic program in terms of one of four variables with the others fixed.
The model is solved by a proximal block coordinate descent method with cyclic order
and the convergence of the algorithm is proved by using the Kurdyka-Lojasiewicz property. The model does not require unsuitable assumptions in practical environments and
numerical experiments show its suitability in working with real echocardiography data.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.120321.220721},
url = {http://global-sci.org/intro/article_detail/eajam/19923.html}
}