• Title/Summary/Keyword: Min-norm Method

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Application of Matrix Adaptive Regularization Method for Human Thorax Image Reconstruction (인체 흉부 영상 복원을 위한 행렬 적응 조정 방법의 적용)

  • Jeon, Min-Ho;Kim, Kyung-Youn
    • Journal of IKEEE
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    • v.19 no.1
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    • pp.33-40
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    • 2015
  • Inverse problem in electrical impedance tomography (EIT) is highly ill-posed therefore prior information is used to mitigate the ill-posedness. Regularization methods are often adopted in solving EIT inverse problem to have satisfactory reconstruction performance. In solving the EIT inverse problem, iterative Gauss-Newton method is generally used due to its accuracy and fast convergence. However, its performance is still suboptimal and mainly depends on the selection of regularization parameter. Although, there are few methods available to determine the regularization parameter such as L-curve method they are sometimes not applicable for all cases. Moreover, regularization parameter is a scalar and it is fixed during iteration process. Therefore, in this paper, a novel method is used to determine the regularization parameter to improve reconstruction performance. Conductivity norm is calculated at each iteration step and it used to obtain the regularization parameter which is a diagonal matrix in this case. The proposed method is applied to human thorax imaging and the reconstruction performance is compared with traditional methods. From numerical results, improved performance of proposed method is seen as compared to conventional methods.

A Spatially Adaptive Post-processing Filter to Remove Blocking Artifacts of H.264 Video Coding Standard (H.264 동영상 표준 부호화 방식의 블록화 현상 제거를 위한 적응적 후처리 기법)

  • Choi, Kwon-Yul;Hong, Min-Cheol
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.33 no.8C
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    • pp.583-590
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    • 2008
  • In this paper, we present a spatially adaptive post-processing algorithm for H.264 video coding standard to remove blocking artifacts. The loop filter of H.264 increases computational complexity of the encoder. Furthermore it doesn't clearly remove the blocking artifacts, resulting in over-blurring. For overcoming them, we combine the projection method with the Constraint Least Squares(CLS) method to restore the high quality image. To reflect the Human Visual System, we adopt the weight norm CLS method. Particularly pixel location-based local variance and laplacian operator are newly defined for the CLS method. In addition, the fact that correlation among adjoining pixels is high is utilized to constrain the solution space when the projection method is applied. Quantization Index(QP) of H.264 is also used to control the degree of smoothness. The simulation results show that the proposed post-processing filter works better than the loop filter of H.264 and converges more quickly than the CLS method.

Non-fragile Guaranteed Cost Controller Design for Uncertain Time-delay Systems via Delayed Feedback (지연귀환을 통한 불확실 시간지연 시스템의 비약성 성능보장 제어기 설계)

  • Kwon, Oh-Min;Park, Ju-Hyun
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.3
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    • pp.458-465
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    • 2008
  • In this paper, we propose a non-fragile guaranteed cost controller design method for uncertain linear systems with constant delyas in state. The norm bounded and time-varying uncertainties are subjected to system and controller design matrices. A quadratic cost function is considered as the performance measure for the system. Based on the Lyapunov method, an LMI(Linear Matrix Inequality) optimization problem is established to design the controller which uses information of delayed state and minimizes the upper bound of the quadratic cost function for all admissible system uncertainties and controller gain variations. Numerical examples show the effectiveness of the proposed method.

Guaranteed Cost Control for Uncertain Time-Delay Systems with nonlinear Perturbations via Delayed Feedback (지연귀환을 통한 비선형 섭동이 존재하는 불확실 시간지연 시스템의 성능보장 제어)

  • Park, Ju-Hyun;Kwon, Oh-Min
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.6
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    • pp.581-588
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    • 2007
  • In this paper, we propose a delayed feedback guaranteed cost controller design method for linear time-delay systems with norm-bounded parameter uncertainties and nonlinear perturbations. A quadratic cost function is considered as the performance measure for the given system. Based on the Lyapunov method, an LMI optimization problem is formulated to design a controller such that the closed-loop cost function value is not more than a specified upper bound for all admissible system uncertainties and nonlinear perturbations. Numerical example show the effectiveness of the proposed method.

Characteristic Evaluation of Exposed Dose with NORM added Consumer Product based on ICRP Reference Phantom (ICRP 기준팬텀 기반의 천연방사성핵종이 포함된 가공제품 사용으로 인한 피폭선량 특성 평가)

  • Yoo, Do Hyeon;Lee, Hyun Cheol;Shin, Wook-Geun;Choi, Hyun Joon;Min, Chul Hee
    • Journal of Radiation Protection and Research
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    • v.39 no.4
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    • pp.159-167
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    • 2014
  • In Korea, July 2012, the law as called 'Act on Safety Control of Radioactive Rays Around Living Environment' was implemented to control the consumer product containing Naturally Occurring Radioactive Material (NORM), but, there are no appropriate database and effective dose calculation system. The aim of this study was to develop evaluation technique of the exposure dose with the use of the consumer products containing NORM and to understand the characteristics of the exposed dose according to the radiation type and energy. For the evaluate of exposure dose, the ICRP reference phantom was simulated by the MCNPX code based on Monte Carlo method, and the minimum, medium, maximum energy of alphas, betas, gammas from the representative NORM of Uranium decay series were used as the source term in the simulation. The annual effective doses were calculated by the exposure scenario of the consumer product usage time and position. Short range of the alpha and beta rays are mostly delivered the dose to the skin. On the other hand, the gamma rays mostly delivered the similar dose to all of the organs. The results of the annual effective dose with $1Bq{\cdot}g^{-1}$ radioactive stone-bed and 10% radioactive concentration were employed with the usage time of 7 hours 50 minute per day, the maximum annual effective dose of alphas, betas, gammas were calculated 0.0222, 0.0836, $0.0101mSv{\cdot}y^{-1}$, respectively.

A Study of Theoretical Methods for Estimating Void Ratio Based on the Elastic Wave Velocities (탄성파 속도를 이용한 간극비 산출 식의 고찰)

  • Lee, Jong-Sub;Park, Chung-Hwa;Yoon, Sung-Min;Yoon, Hyung-Koo
    • Journal of the Korean Geotechnical Society
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    • v.29 no.2
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    • pp.35-45
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    • 2013
  • The void ratio is an important parameter for reflecting the soil behavior including physical property, compressibility, and relative density. The void ratio can be obtained by laboratory test with extracted soil samples. However, the specimen has a possibility to be easily disturbed due to the stress relief when extracting, vibration during transportation, and error in experimental process. Thus, the theoretical equations have been suggested for obtaing the void ratio based on the elastic wave velocities. The objective of this paper is to verify the accuracy of the proposed analytical solution through the error norm. The paper covers the theoretical methods of Wood, Gassmann and Foti. The elastic wave velocity is determined by the Field Velocity Probe in the southern part of Korean Peninsular. And the rest parameters are assumed based on the reference values. The Gassmann method shows the high reliability on determining the void ratio. The error norm is also analyzed as substitution of every parameter. The results show every equation has various characteristics. Thus, this paper may be widely applied for obtaining the void ratio according to the field condition.

Scene change detection using intra prediction mode and edge direction in H.264/AVC compression domain (압축 영역에서 intra mode와 에지 방향성을 이용한 H.264 비디오 장면 전환 검출)

  • Hong, Bo-Hyun;Eom, Min-Young;Choe, Yoon-Sik
    • Proceedings of the KIEE Conference
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    • 2006.04a
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    • pp.12-14
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    • 2006
  • This paper presents a novel scene change detection method using intra prediction mode and edge direction in H.264/AVC. When scene change occurs, there are less temporal correlation between frames, most of macro-blocks encoded in intra mode. Using this property, the method calculates the percentage of intra mode blocks in each predictive frame in order to get candidates of scene change frame. To further find scene change, we obtain edge histogram of each candidates by using eight prediction direction of intra prediction mode in H.264/AVC. We detect scene change frames with $\iota^1$-norm of edge histograms. The experimental results show that the method is efficient and robust.

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Delay-dependent Robust H Control of Uncertain Linear Systems with Time-varying Delays and Randomly Occurring Disturbances (시변지연과 임의 발생 외란을 고려한 불확실 선형 시스템에 대한 지연의존 강인 H 제어)

  • Kim, Ki-Hoon;Park, Myeong-Jin;Kwon, Oh-Min;Cha, Eun-Jong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.5
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    • pp.679-687
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    • 2013
  • This paper proposes a new condition about delay-dependent robust $H_{\infty}$ control of uncertain linear systems with time-varying delay and randomly occurring disturbances. The norm bounded uncertainties are subjected to the system matrices. Based on Lyapunov stability theory, a sufficient condition for designing a controller gain such that the closed-loop systems are asymptotically stable with $H_{\infty}$ disturbance level ${\gamma}$ is formulated in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are included to show the effectiveness of the presented method.

A Blind Watermarking for 3-D Mesh Sequence Using Temporal Wavelet Transform of Vertex Norms (꼭지점 좌표 벡터 크기값의 시간축 웨이블릿 변환을 이용한 3차원 메쉬 시퀀스의 블라인드 워터마킹)

  • Kim, Min-Su;Cho, Jae-Won;Prost, Remy;Jung, Ho-Youl
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.3C
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    • pp.256-268
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    • 2007
  • In this paper, we present a watermarking method for 3-D mesh sequences. The main idea is to transform vertex norm with the identical connectivity index along temporal axis using wavelet transform and modify the distribution of wavelet coefficients in temporally high (or middle) frequency frames according to watermark bit to be embedded. All vertices are divided into groups, namely bin, using the distribution of coefficients in low frequency frames. As the vertices with the identical connectivity index over whole frames belong to one bin, their wavelet coefficients are also assigned into the same bin. Then, the watermark is embedded into the wavelet coefficients of vertex norm. Due to the use of the distribution, our method can retrieve the hidden watermark without any information about original mesh sequences in the process of watermark detection. Through simulations, we show that the proposed is flirty robust against various attacks that are probably concerned in copyright protection of 3-D mesh sequences.

LOCAL CONVERGENCE OF FUNCTIONAL ITERATIONS FOR SOLVING A QUADRATIC MATRIX EQUATION

  • Kim, Hyun-Min;Kim, Young-Jin;Seo, Jong-Hyeon
    • Bulletin of the Korean Mathematical Society
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    • v.54 no.1
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    • pp.199-214
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    • 2017
  • We consider fixed-point iterations constructed by simple transforming from a quadratic matrix equation to equivalent fixed-point equations and assume that the iterations are well-defined at some solutions. In that case, we suggest real valued functions. These functions provide radii at the solution, which guarantee the local convergence and the uniqueness of the solutions. Moreover, these radii obtained by simple calculations of some constants. We get the constants by arbitrary matrix norm for coefficient matrices and solution. In numerical experiments, the examples show that the functions give suitable boundaries which guarantee the local convergence and the uniqueness of the solutions for the given equations.