Vascular Bifurcation Detection by Symmetric Analysis of Eigenvalues

2017 ◽  
Author(s):  
I.U. Haq ◽  
S. Siregar ◽  
R. Nagaoka ◽  
Y. Saijo
Keyword(s):  
Bifurcation Detection

A nonlinear optimization shooting method for bifurcation tracking of nonlinear systems

2020 ◽  
pp. 107754632095674
Author(s):  
Haitao Liao ◽  
Mengyu Li ◽  
Ruxin Gao
Keyword(s):  
Periodic Solution ◽  
Optimization Problem ◽  
Continuation Method ◽  
Problem Formulation ◽  
Correlation Equation ◽  
Jeffcott Rotor ◽  
Optimization Formulation ◽  
Bifurcation Detection ◽  
Tuned Vibration Absorber ◽  
Optimization Problem Formulation

A continuation method for bifurcation tracking is presented based on the proposed optimization problem formulation which is designed to locate the bifurcation periodic solution. The bifurcation detection problem is formulated as a constrained optimization problem. The nonlinear constraints of the optimization problem are imposed on the shooting function and bifurcation conditions derived from the Floquet theory whereas the objective function associated with the pseudo-arclength correlation equation is devised to solution continuation. The proposed optimization formulation is integrated with the prediction–correction strategy to achieve bifurcation tracking. Two numerical examples about the Jeffcott rotor and the nonlinear tuned vibration absorber are illustrated to validate the effectiveness of the proposed methodology. Numerical results have demonstrated that the proposed method offers a convenient scheme to follow bifurcation periodic solution.

Graph-based bifurcation detection in phase-contrast MR images

2013 ◽  
Author(s):  
Yoo-Jin Jeong ◽  
Sebastian Ley ◽  
Michael Delles ◽  
Rüdiger Dillmann ◽  
Roland Unterhinninghofen
Keyword(s):  
Phase Contrast ◽  
Mr Images ◽  
Bifurcation Detection

scholarly journals 3D-3D Tubular Organ Registration and Bifurcation Detection from CT Images

10.5772/7616 ◽  
2010 ◽  
Author(s):  
Jinghao Zhou ◽  
Sukmoon Chang ◽  
Dimitris Metaxas ◽  
Gig Mageras
Keyword(s):  
Ct Images ◽  
Bifurcation Detection ◽  
Organ Registration

Bifurcation detection with the (un)preconditioned GMRES(m)

2004 ◽  
Vol 193 (42-44) ◽  
pp. 4707-4716 ◽  
Author(s):  
A.N. Spyropoulos ◽  
J.A. Palyvos ◽  
A.G. Boudouvis
Keyword(s):  
Bifurcation Detection ◽  
Preconditioned Gmres

Fast automatic algorithm for bifurcation detection in vascular CTA scans

2012 ◽  
Author(s):  
Matthias Brozio ◽  
Vladlena Gorbunova ◽  
Christian Godenschwager ◽  
Thomas Beck ◽  
Dominik Bernhardt
Keyword(s):  
Bifurcation Detection ◽  
Automatic Algorithm
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