A ZNN Based Constrained Energy Minimization Algorithm and Its Application

2021 ◽  
pp. 2801-2809
Author(s):  
Chengze Jiang ◽  
Xiuchun Xiao ◽  
Dazhao Liu ◽  
Haoen Huang
2018 ◽  
Vol 78 (3) ◽  
pp. 1353-1386 ◽  
Author(s):  
Mei-Heng Yueh ◽  
Wen-Wei Lin ◽  
Chin-Tien Wu ◽  
Shing-Tung Yau

2019 ◽  
Vol 98 ◽  
pp. 01014
Author(s):  
Oleg Eremin ◽  
Olga Rusal ◽  
Maria Solodukhina ◽  
Ekaterina Epova ◽  
Georgy Yurgenson

The potential toxic elements (Be, U, As, Cd, Pb, Sb, Bi) were detected for mine landscape of Sherlovaya Gora tin-polymetallic deposit. Thermodynamic calculation of equilibrium for tailings dump pond water was carried out by means of “Selektor” program complex based on Gibbs free energy minimization algorithm at 25°C and 1 bar total pressure. It turned out that the mine water is supersaturated with respect to many sulphates of Ca, Mg, Sr, Zn, K, Cu, Ni, Cd, Be, Al, Ce and Y, fluorides of (Ln and Y, Sc), and Y phosphate.


2010 ◽  
Author(s):  
David Pellow ◽  
Mot Freiman ◽  
Leo Joskowicz

This paper describes an ITK implementation of a 3D vascular segmentation filter using a graph-based energy minimization algorithm. The method first computes the shortest path between two user provided points in the vessel and then performs a graph min-cut based segmentation of the vessel based on the intensity information coupled with the computed path as a spatial constraint. The shortest path computation is adapted from the algorithm in [1] to use a vesselness based weighting function. The min-cut algorithm uses the Boost graph library to calculate the minimal cut. Several examples of applications are provided, along with images of the resulting segmentations.


2021 ◽  
Author(s):  
Lyudmila Khakimova ◽  
Anna Isaeva ◽  
Vladimir Dobrozhanskiy ◽  
Yury Podladchikov

Abstract We discuss numerical simulation of carbon dioxide injection considered by oil and gas companies. Complex behavior of multicomponent reservoir fluids mixed with carbon dioxide may cause the occurrence of vapor-liquid-liquid equilibria (VLLE), salt precipitation in aquifers, pore-clogging, etc. We propose a simple algorithm for phase equilibria calculations based on the minimization of the multicomponent system free energy. This algorithm can be used to calculate phase separations and component partitioning between the phases under various conditions (critical region, two- and three-phase equilibria, etc.). We demonstrate the applicability of the proposed algorithm in a series of calculations. We consider binary and ternary mixtures that include carbon dioxide and hydrocarbons. We examine the algorithm in two- and three-phase equilibrium calculations and compare its performance with the popular iterative fugacity equilibration technique. We show that both calculation techniques give near-identical results for the considered mixtures. Thus, we show that the free energy minimization algorithm can be used interchangeably with the fugacity equilibration technique for calculating phase equilibria. This algorithm is applicable for VLLE calculations, which is important when considering multicomponent reservoir fluids that include carbon dioxide.


2020 ◽  
Vol 10 (9) ◽  
pp. 2156-2162
Author(s):  
Wei Liu ◽  
Chuang Sun ◽  
Fangbing Zhai ◽  
Lei Wang ◽  
Jianlin Wu

To investigate the effect of multiphase dynamic contrast enhanced magnetic resonance imaging (DCE-MRI) and diffusion weighted imaging (DWI) in the diagnosis of breast tumor, this study was conducted on 60 patients with breast solid mass disease confirmed by pathology in xxx hospital from January 2016 to December 2018. Based on magnetic resonance imaging (MRI) examination images of patients, the application effects of homomorphic filtering algorithm, non-parametric algorithm and the energy minimization algorithm based on homomorphic filtering proposed in this study were compared in the non-uniform field correction of MRI images. Morphology, time-intensity curve (TIC) curve typing based on DCE-MRI, apparent diffusion coefficient (ADC) value based on diffusion-weighted imaging (DWI) and the combination of three methods were compared in the diagnosis of benign and malignant breast lesions The results showed that the energy minimization algorithm based on homomorphic filtering proposed in this study can effectively improve the non-uniformity in MRI images, and the coefficient of variation was 0.82. The sensitivity of different single and combined methods to the diagnosis of lesion location was 90.91%, 86.36%, 90.91% and 97.73%, respectively. Comparison of Kappa consistency with pathological diagnosis revealed that k values were 0.53 (consistent), 0.59 (consistent), 0.74 (consistent) and 0.85 (consistent), respectively, which indicated that the energy minimization algorithm based on homomorphic filtering could be applied to the non-uniform field correction of MRI images, and the combined diagnosis of morphology, DCE-MRI and DWI could effectively improve the diagnostic accuracy of benign and malignant breast masses.


Author(s):  
Zhaoxuan Gong ◽  
Dazhe Zhao ◽  
Chunming Li ◽  
Wenjun Tan ◽  
Christos Davatzikos

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