Nonconvex Constrained Minimisation for 3D Left Ventricular Shape Recovery Using 2D Echocardiography Data

DOI10.4208/eajam.120321.220721OpenAlexW3216782034MaRDI QIDQ5061732

Sangwoon Yun, Chi Young Ahn

Publication date: 14 March 2022

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.120321.220721

zbMATH Keywords

3D reconstructionquadratically constrained quadratic programechocardiographyleft ventriclenonconvex constrained minimisation

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Computing methodologies for image processing (68U10) Quadratic programming (90C20) Medical applications (general) (92C50)

Uses Software

• OPTI

Cites Work

• On the convergence of the proximal algorithm for nonsmooth functions involving analytic features
• A mathematical model for the 3D location estimation of 2D echocardiography data
• A study on the 3D position estimation of ventricular borders extracted from 2D echocardiography data
• Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward-backward splitting, and regularized Gauss-Seidel methods
• Mathematical Analysis of Ultrafast Ultrasound Imaging
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