• Title/Summary/Keyword: Iterative technique

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Application of sigmoidal optimization to reconstruct nuclear medicine image: Comparison with filtered back projection and iterative reconstruction method

  • Shin, Han-Back;Kim, Moo-Sub;Law, Martin;Djeng, Shih-Kien;Choi, Min-Geon;Choi, Byung Wook;Kang, Sungmin;Kim, Dong-Wook;Suh, Tae Suk;Yoon, Do-Kun
    • Nuclear Engineering and Technology
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    • v.53 no.1
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    • pp.258-265
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    • 2021
  • High levels for noise and a loss of true signal make the quantitative interpretation of nuclear medicine (NM) images difficult. An application of profile optimization using a sigmoidal function in this study was used to acquire the NM images with high quality. And the images were acquired by using three kinds of reconstruction method using each same sinogram: a standard filtered back-projection (FBP), an iterative reconstruction (IR) technique, and the sigmoidal function profile optimization (SFPO). Comparison of image according to reconstruction method was performed to show a superiority of the SFPO for imaging. The images reconstructed by using the SFPO showed an average of 1.49 times and of 1.17 times better in contrast than the results obtained using the standard FBP and the IR technique, respectively. Higher signal to noise ratios were obtained as an average of 12.30 times and of 3.77 times than results obtained using the standard FBP and the IR technique, respectively. This study confirms that reconstruction with SFPO (vs FBP and vs IR) can lead to better lesion detectability and characterization with noise reduction. It can be developed for future reconstruction technique for the NM imaging.

Application of Iterative Procedure to the wave Field with Energy Dissipation Area (에너지 감쇠역을 포함하는 파랑장에 대한 반복기법의 적용)

  • 윤종태
    • Journal of Ocean Engineering and Technology
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    • v.12 no.1
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    • pp.120-127
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    • 1998
  • An Elliptic model for calculating the combined refraction/diffraction of monochromatic linear waves is developed, including a term which allows for the dissipation of wave energy. Conjugate gradient method is employed as a solution technique. Wave height variations are calculated for localized circular and rectangular dissipation areas. It is shown that the numerical results agree very well with analytical solution in the case of circular damping region. The localized dissipation area creates a shadow region of low wave energy and the recovery of wave height by diffraction occurs very slowly with distance behind the damping region.

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Bree's interaction diagram of beams with considering creep and ductile damage

  • Nayebi, A.
    • Structural Engineering and Mechanics
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    • v.30 no.6
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    • pp.665-678
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    • 2008
  • The beams components subjected to the loading such as axial, bending and cyclic thermal loads were studied in this research. The used constitutive equations are those of elasto-plasticity coupled to ductile and/or creep damage. The nonlinear kinematic hardening behavior was considered in elastoplasticity modeling. The unified damage law proposed for ductile failure and fatigue by the author of Sermage et al. (2000) and Kachanov's creep damage model applied to cyclic creep and low cycle fatigue of beams. Based on the results of the analysis, the shakedown limit loads were determined through the calculation of the residual strains developed in the beam analysis. The iterative technique determines the shakedown limit load in an iterative manner by performing a series of full coupled elastic-plastic and continuum damage cyclic loading modeling. The maximum load carrying capacity of the beam can withstand, were determined and imposed on the Bree's interaction diagram. Comparison between the shakedown diagrams generated by or without creep and/or ductile damage for the loading patterns was presented.

An Effective Fast Algorithm of BCS-SPL Decoding Mechanism for Smart Imaging Devices (스마트 영상 장비를 위한 BCS-SPL 복호화 기법의 효과적인 고속화 방안)

  • Ryu, Jung-seon;Kim, Jin-soo
    • Journal of Korea Multimedia Society
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    • v.19 no.2
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    • pp.200-208
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    • 2016
  • Compressed sensing is a signal processing technique for efficiently acquiring and reconstructing in an under-sampled (i.e., under Nyquist rate) representation. A block compressed sensing with projected Landweber (BCS-SPL) framework is most widely known, but, it has high computational complexity at decoder side. In this paper, by introducing adaptive exit criteria instead of fixed exit criteria to SPL framework, an effective fast algorithm is designed in such a way that it can utilize efficiently the sparsity property in DCT coefficients during the iterative thresholding process. Experimental results show that the proposed algorithm results in the significant reduction of the decoding time, while providing better visual qualities than conventional algorithm.

Optimal iterative learning control with model uncertainty

  • Le, Dang Khanh;Nam, Taek-Kun
    • Journal of Advanced Marine Engineering and Technology
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    • v.37 no.7
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    • pp.743-751
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    • 2013
  • In this paper, an approach to deal with model uncertainty using norm-optimal iterative learning control (ILC) is mentioned. Model uncertainty generally degrades the convergence and performance of conventional learning algorithms. To deal with model uncertainty, a worst-case norm-optimal ILC is introduced. The problem is then reformulated as a convex minimization problem, which can be solved efficiently to generate the control signal. The paper also investigates the relationship between the proposed approach and conventional norm-optimal ILC; where it is found that the suggested design method is equivalent to conventional norm-optimal ILC with trial-varying parameters. Finally, simulation results of the presented technique are given.

Analysis of Static and Dynamic Frictional Contact of Deformable Bodies Including Large Rotations of the Contact Surfaces

  • Lee, Kisu
    • Journal of Mechanical Science and Technology
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    • v.16 no.10
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    • pp.1276-1286
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    • 2002
  • The numerical techniques are presented to solve the static and dynamic contact problems of deformable bodies having large rotations of the contact surfaces. The contact conditions on the possible contact surfaces are enforced by using the contact error vector, and an iterative scheme similar to augmented Lagrange multiplier method is employed to reduce the contact error vector monotonically. For dynamic contact problems using implicit time integration, a contact error vector is also defined by combining the displacement, velocity, and acceleration on the contact surface. The suggested iterative technique is implemented to ABAQUS by using the UEL subroutine UEL. In this work, after the computing procedures to solve the frictional contact problems are explained, the numerical examples are presented to compare the present solutions with those obtained by ABAQUS.

Iterative neural network strategy for static model identification of an FRP deck

  • Kim, Dookie;Kim, Dong Hyawn;Cui, Jintao;Seo, Hyeong Yeol;Lee, Young Ho
    • Steel and Composite Structures
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    • v.9 no.5
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    • pp.445-455
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    • 2009
  • This study proposes a system identification technique for a fiber-reinforced polymer deck with neural networks. Neural networks are trained for system identification and the identified structure gives training data in return. This process is repeated until the identified parameters converge. Hence, the proposed algorithm is called an iterative neural network scheme. The proposed algorithm also relies on recent developments in the experimental design of the response surface method. The proposed strategy is verified with known systems and applied to a fiber-reinforced polymer bridge deck with experimental data.

A NON-ITERATIVE RECONSTRUCTION METHOD FOR AN INVERSE PROBLEM MODELED BY A STOKES-BRINKMANN EQUATIONS

  • Hassine, Maatoug;Hrizi, Mourad;Malek, Rakia
    • Journal of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1079-1101
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    • 2020
  • This work is concerned with a geometric inverse problem in fluid mechanics. The aim is to reconstruct an unknown obstacle immersed in a Newtonian and incompressible fluid flow from internal data. We assume that the fluid motion is governed by the Stokes-Brinkmann equations in the two dimensional case. We propose a simple and efficient reconstruction method based on the topological sensitivity concept. The geometric inverse problem is reformulated as a topology optimization one minimizing a least-square functional. The existence and stability of the optimization problem solution are discussed. A topological sensitivity analysis is derived with the help of a straightforward approach based on a penalization technique without using the classical truncation method. The theoretical results are exploited for building a non-iterative reconstruction algorithm. The unknown obstacle is reconstructed using a levelset curve of the topological gradient. The accuracy and the robustness of the proposed method are justified by some numerical examples.

PRECONDITIONING FOR THE p-VERSION BOUNDARY ELEMENT METHOD IN THREE DIMENSIONS WITH TRIANGULAR ELEMENTS

  • Cao, Wei-Ming;Guo, Benqi
    • Journal of the Korean Mathematical Society
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    • v.41 no.2
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    • pp.345-368
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    • 2004
  • A preconditioning algorithm is developed in this paper for the iterative solution of the linear system of equations resulting from the p-version boundary element approximation of the three dimensional integral equation with hypersingular operators. The preconditioner is derived by first making the nodal and side basis functions locally orthogonal to the element internal bases, and then by decoupling the nodal and side bases from the internal bases. Its implementation consists of solving a global problem on the wire-basket and a series of local problems defined on a single element. Moreover, the condition number of the preconditioned system is shown to be of order $O((1+ln/p)^{7})$. This technique can be applied to discretization with triangular elements and with general basis functions.

Vehicle/bridge interactions of a rail suspension bridge considering support movements

  • Yau, J.D.
    • Interaction and multiscale mechanics
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    • v.2 no.3
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    • pp.263-276
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    • 2009
  • This paper is intended to investigate interaction response of a train running over a suspension bridge undergoing support settlements. The suspension bridge is modeled as a single-span suspended beam with hinged ends and the train as successive moving oscillators with identical properties. To conduct this dynamic problem with non-homogeneous boundary conditions, this study first divides the total response of the suspended beam into two parts: the static and dynamic responses. Then, the coupled equations of motion for the suspended beam carrying multiple moving oscillators are transformed into a set of nonlinearly coupled generalized equations by Galerkin's method, and solved using the Newmark method with an incremental-iterative procedure including the three phases: predictor, corrector, and equilibrium-checking. Numerical investigations demonstrate that the present iterative technique is available in dealing with the dynamic interaction problem of vehicle/bridge coupling system and that the differential movements of bridge supports will significantly affect the dynamic response of the running vehicles but insignificant influence on the bridge response.