scholarly journals Riemannian metric of the averaged energy minimization problem in orbital transfer with low thrust

2007 ◽  
Vol 24 (3) ◽  
pp. 395-411 ◽  
Author(s):  
Bernard Bonnard ◽  
Jean-Baptiste Caillau
Keyword(s):  
Minimization Problem ◽  
Energy Minimization ◽  
Riemannian Metric ◽  
Low Thrust ◽  
Orbital Transfer

The energy minimization problem for two-level dissipative quantum systems

2010 ◽  
Vol 51 (9) ◽  
pp. 092705 ◽  
Author(s):  
B. Bonnard ◽  
O. Cots ◽  
N. Shcherbakova ◽  
D. Sugny
Keyword(s):  
Minimization Problem ◽  
Energy Minimization ◽  
Quantum Systems ◽  
Dissipative Quantum Systems

scholarly journals Gauss-Newton Method for Segmentation assisted Deformable Registration

2014 ◽  
Author(s):  
Miro Jurisic ◽  
Tobias Fechter ◽  
Frida Hauler ◽  
Hugo Furtado ◽  
Ursula Nestle ◽  
...  
Keyword(s):  
Newton Method ◽  
Minimization Problem ◽  
Energy Minimization ◽  
Numerical Experiments ◽  
High Accuracy ◽  
Energy Model ◽  
Deformable Registration ◽  
Data Sets ◽  
Preliminary Study ◽  
Ct Data

In this work, we try to develop a fast converging method for segmentation assisted deformable registration. The segmentation step consists of a piece-wise constant Mumford-Shah energy model while reg- istration is driven by the sum of squared distances of both initial images and segmented mask with a diffusion regularization. In order to solve this energy minimization problem, a second order Gauss-Newton opti- mization method is used. For the numerical experiments we used CT data sets from the EMPIRE10 challenge. In this preliminary study, we show high accuracy of our algorithm.

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