• Title/Summary/Keyword: Analytic method

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Improvement of Analytic Reconstruction Algorithms Using a Sinogram Interpolation Method for Sparse-angular Sampling with a Photon-counting Detector

  • Kim, Dohyeon;Jo, Byungdu;Park, Su-Jin;Kim, Hyemi;Kim, Hee-Joung
    • 한국의학물리학회지:의학물리
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    • 제27권3호
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    • pp.105-110
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    • 2016
  • Sparse angular sampling has been studied recently owing to its potential to decrease the radiation exposure from computed tomography (CT). In this study, we investigated the analytic reconstruction algorithm in sparse angular sampling using the sinogram interpolation method for improving image quality and computation speed. A prototype of the spectral CT system, which has a 64-pixel Cadmium Zinc Telluride (CZT)-based photon-counting detector, was used. The source-to-detector distance and the source-to-center of rotation distance were 1,200 and 1,015 mm, respectively. Two energy bins (23~33 keV and 34~44 keV) were set to obtain two reconstruction images. We used a PMMA phantom with height and radius of 50.0 mm and 17.5 mm, respectively. The phantom contained iodine, gadolinium, calcification, and lipid. The Feld-kamp-Davis-Kress (FDK) with the sinogram interpolation method and Maximum Likelihood Expectation Maximization (MLEM) algorithm were used to reconstruct the images. We evaluated the signal-to-noise ratio (SNR) of the materials. The SNRs of iodine, calcification, and liquid lipid were increased by 167.03%, 157.93%, and 41.77%, respectively, with the 23~33 keV energy bin using the sinogram interpolation method. The SNRs of iodine, calcification, and liquid state lipid were also increased by 107.01%, 13.58%, and 27.39%, respectively, with the 34~44 keV energy bin using the sinogram interpolation method. Although the FDK algorithm with the sinogram interpolation did not produce better results than the MLEM algorithm, it did result in comparable image quality to that of the MLEM algorithm. We believe that the sinogram interpolation method can be applied in various reconstruction studies using the analytic reconstruction algorithm. Therefore, the sinogram interpolation method can improve the image quality in sparse-angular sampling and be applied to CT applications.

SOME SUBORDINATION PROPERTIES OF THE LINEAR OPERATOR

  • PANIGRAHI, TRAILOKYA
    • 대한수학회지
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    • 제53권1호
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    • pp.147-159
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    • 2016
  • In this paper, subordination results of analytic function $f{\in}{\mathcal{A}}_p$ involving linear operator ${\mathcal{K}}^{{\delta},{\lambda}}_{c,p}$ are obtained. By applying the differential subordination method, results are derived under some sufficient subordination conditions. On using some hypergeometric identities, corollaries of the main results are derived. Furthermore, convolution preserving properties for a class of multivalent analytic function associated with the operator ${\mathcal{K}}^{{\delta},{\lambda}}_{c,p}$ are investigated.

ASYMPTOTIC STABILITY OF STRONG SOLUTIONS FOR EVOLUTION EQUATIONS WITH NONLOCAL INITIAL CONDITIONS

  • Chen, Pengyu;Kong, Yibo;Li, Yongxiang
    • 대한수학회보
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    • 제55권1호
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    • pp.319-330
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    • 2018
  • This paper is concerned with the global asymptotic stability of strong solutions for a class of semilinear evolution equations with nonlocal initial conditions on infinite interval. The discussion is based on analytic semigroups theory and the gradually regularization method. The results obtained in this paper improve and extend some related conclusions on this topic.

SOME RESULTS FOR THE EXTREMAL LENGTHS OF CURVE FAMILIES (II)

  • Chung, Bo-Hyun
    • Journal of applied mathematics & informatics
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    • 제15권1_2호
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    • pp.495-502
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    • 2004
  • We consider the applications of extremal length to the boundary behavior of analytic functions and derive a theorem in connection with the capacity. This theorem applies the extremal length to the analytic functions defined on the domain with a number of holes. So it shows us the usefulness of the method of extremal length.

Optimal Design and Development of Electromagnetic Linear Actuator for Mass Flow Controller

  • Chung, Myung-Jin;Gweon, Dae-Gab
    • Journal of Mechanical Science and Technology
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    • 제17권1호
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    • pp.40-47
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    • 2003
  • In this paper, we constructed the analytic model of control valve as a function of electric and geometric parameters, and analyzed the influence of the design parameters on the dynamic characteristics. For improving the dynamic characteristics, optimal design is conducted by applying sequential quadratic programming method to the analytic model. This optimal design aims to minimize the response time and maximize force efficiency. By this procedure, control valve can be designed to have fast response in motion.

사면체 조합을 이용한 3-6형태의 스튜어트 플랫폼의 정기구학의 새로운 해석법 (A Novel Analytic Approach for the Forward Kinematics of the 3-6-type Stewart Platform using Tetrahedron Configurations)

  • 송세경;권동수
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.430-430
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    • 2000
  • This paper presents a new analytic approach using tetrahedrons to determine the forward kinematics of the 3-6-type Stewart platform. By using of the tetrahedral geometry, this approach has the advantage of greatly reducing the complexity of formulation and the computational burden required by the conventional methods which have been solved the forward kinematics with three unknown angles. As a result, this approach allows a significant abbreviation in the formulations and provides an easier means of obtaining the solutions. The proposed method is well verified through a series of numerical simulation.

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MULTICRITERIA MODELS FOR GROUP DECISION MAKING : COMPROMISE PROGRAMMING VS. THE ANALYTIC HIERACHY PROCESS

  • Kwak, N.K.;McCarthy, Kevin J.
    • 한국경영과학회지
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    • 제16권1호
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    • pp.97-112
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    • 1991
  • This paper describes two contrasting approaches to group decision making involving multiple criteria. A compromise programming method and the analytic hierarchy process are analyzed and compared by using an illustrative example of a computer model selection problem to demonstrate their usefulness as a viable tool for group decision making. This paper further considers some extensions and modifications of there two methods for future study.

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계층분석기법을 이용한 이동통신사 선정에 관한 연구 (A Study on the Selection of the Telecommunication Company Using an Analytical Hierarchy Process)

  • 서광규
    • 대한안전경영과학회지
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    • 제9권1호
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    • pp.213-220
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    • 2007
  • This paper proposes the selection model of the telecommunication company using an analytical hierarchy process. When selecting a telecommunication company, consumers conflict the difficulty In decision-making because there are many competitive and complementary factors of telecommunication companies. To select an optimal telecommunication company, consumers need to consider a number of different quantitative and qualitative factors such as fare, various services, additional function and so on. In this study, we use the analytic hierarchy process based method for selecting the telecommunication company considering various factors to help consumers' decision-making for their benefits.

RC-class 회로 연결선의 지연 시간 계산을 위한 해석적 기법 (An Analytic Calculation Method for Delay Time of RC-class Interconnects)

  • 갈원광;김석윤
    • 전자공학회논문지C
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    • 제36C권7호
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    • pp.1-9
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    • 1999
  • 본 논문에서는 칩 내부 회로 연결선의 모형으로 많이 사용되는 RC-class 회로에 대하여 시뮬레이션을 수행하지 않고 지연 시간을 계산할 수 있는 해석적 3차 근사 기법을 제시한다. 본 논문에서 제시하는 3차 근사 기법은 기존의 2차 근사 기법에 비해 크지 않은 수행 시간을 필요로 하면서도 보다 정확한 결과를 보장한다. 이 해석적 3차 근사 기법은 일반적인 q 차 AWE(Asymptotic Waveform Evaluation)기법의 계산 결과와 비교해 허용 가능한 수준의 오차를 보장하며, 계산 시간의 단축과 함께 수치적으로 안정된 값을 제공한다. 제안하는 기법의 첫 알고리즘은 3차의 근사를 위해 8개의 모멘트를 필요로 하며, 보다 정확한 지연 시간의 근사가 가능하다. 둘째 알고리즘은 3차의 근사를 위해 6개의 모멘트를 필요로 하며, 첫 알고리즘보다 정확도는 뒤지나 빠른 근사가 가능하다.

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