• Title/Summary/Keyword: 요소 평활화

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Quasi-brittle and Brittle Fracture Simulation Using Phase-field Method based on Cell-based Smoothed Finite Element Method (셀기반 평활화 유한요소법에 기반한 위상분야법을 이용한 준취성 및 취성 파괴 시뮬레이션)

  • Changkye Lee;Sundararajan Natarajan;Jurng-Jae Yee
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.36 no.5
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    • pp.295-305
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    • 2023
  • This study introduces a smoothed finite-element implementation into the phase-field framework. In recent years, the phase-field method has recieved considerable attention in crack initiation and propagation since the method needs no further treatment to express the crack growth path. In the phase-field method, high strain-energy accuracy is needed to capture the complex crack growth path; thus, it is obtained in the framework of the smoothed finite-element method. The salient feature of the smoothed finite-element method is that the finite element cells are divided into sub-cells and each sub-cell is rebuilt as a smoothing domain where smoothed strain energy is calculated. An adaptive quadtree refinement is also employed in the present framework to avoid the computational burden. Numerical experiments are performed to investigate the performance of the proposed approach, compared with that of the finite-element method and the reference solutions.

A Stress-Based Gradient Elasticity in the Smoothed Finite Element Framework (평활화 유한요소법을 도입한 응력기반 구배 탄성론)

  • Changkye Lee;Sundararajan Natarajan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.37 no.3
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    • pp.187-195
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    • 2024
  • This paper presents two-dimensional boundary value problems of the stress-based gradient elasticity within the smoothed finite element method (S-FEM) framework. Gradient elasticity is introduced to address the limitations of classical elasticity, particularly its struggle to capture size-dependent mechanical behavior at the micro/nano scale. The Ru-Aifantis theorem is employed to overcome the challenges of high-order differential equations in gradient elasticity. This theorem effectively splits the original equation into two solvable second-order differential equations, enabling its incorporation into the S-FEM framework. The present method utilizes a staggered scheme to solve the boundary value problems. This approach efficiently separates the calculation of the local displacement field (obtained over each smoothing domain) from the non-local stress field (computed element-wise). A series of numerical tests are conducted to investigate the influence of the internal length scale, a key parameter in gradient elasticity. The results demonstrate the effectiveness of the proposed approach in smoothing stress concentrations typically observed at crack tips and dislocation lines.

A Method of Histogram Compression Equalization for Image Contrast Enhancement (명암대비 향상을 위한 히스토그램 압축 평활화 기법)

  • Kim, Jong-in;Lee, Jae-Won;Honga, Sung-Hoon
    • Proceedings of the Korea Information Processing Society Conference
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    • 2013.05a
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    • pp.346-349
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    • 2013
  • 화질향상에 큰 영향을 주는 요소 중의 하나는 명암대비 향상이다. 영상의 명암대비를 향상시키는 대표적인 방법으로 히스토그램 평활화(Histogram Equalization) 방법이 있으며, 히스토그램 평활화의 변형된 방법에 대한 다양한 연구가 이루어지고 있다. 그러나 기존의 방법들은 평균 밝기의 급격한 변화로 인하여 부자연스러운 결과영상을 얻거나, 대비 향상 효과가 낮은 결과를 얻는 단점이 종종 발생한다. 본 논문에서는 히스토그램 압축방법을 통해서 개선된 명암대비 향상 기법을 제안한다. 제안한 방법은 과도한 명암대비 증가로 인한 과포화 현상을 억제하기 위하여 히스토그램의 빈도수에 따라 히스토그램을 차등 압축시키도록 설계되어 있다. 실험결과 제안방법은 기존 방법에 비해 과포화 현상 없이 좋은 명암대비 향상 효과를 보였다.

Removing Baseline Drift from ECG Signal Using Smoothing Spline and Morphology Operation (평활화 스플라인 연산과 형태학 연산을 이용한 기저선 변동 잡음 제거)

  • Back, Seung-Gwan;Choi, Chang-Hoon;Kim, Jeong-Hong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.42 no.1
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    • pp.162-171
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    • 2017
  • Low frequency noise components causes the baseline drift in the ECG signals. In this paper, a morphological operation and smoothing spline technique are used for ECG signal processing in order to accomplish baseline correction. Removing the baseline drift from ECG signal using morphology operation, the feature of original signal may be distorted. To resolve this distortion problem, we applied a smoothing spline operation after morphology operation. In order to compare with existing morphology operation method for baseline correction, we apply proposed method to ECG data in MIT/BIH database. Compared to other existing method, our proposed method achieved low data distortion on the original signal.

Gaussian Kernel Smoothing of Explicit Transient Responses for Drop-Impact Analysis (낙하 충격 해석을 위한 명시법 과도응답의 가우스커널 평활화 기법)

  • Park, Moon-Shik;Kang, Bong-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.3
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    • pp.289-297
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    • 2011
  • The explicit finite element method is an essential tool for solving large problems with severe nonlinear characteristics, but its results can be difficult to interpret. In particular, it can be impossible to evaluate its acceleration responses because of severe discontinuity, extreme noise or aliasing. We suggest a new post-processing method for transient responses and their response spectra. We propose smoothing methods using a Gaussian kernel without in depth knowledge of the complex frequency characteristics; such methods are successfully used in the filtering of digital signals. This smoothing can be done by measuring the velocity results and monitoring the response spectra. Gaussian kernel smoothing gives a better smoothness and representation of the peak values than other approaches do. The floor response spectra can be derived using smoothed accelerations for the design.

Codeword-Dependent Distance Normalization and Smoothing of Output Probalities Based on the Instar-formed Fuzzy Contribution in the FVQ-DHMM (퍼지양자화 은닉 마르코프 모델에서 코드워드 종속거리 정규화와 Instar 형태의 퍼지 기여도에 기반한 출력확률의 평활화)

  • Choi, Hwan-Jin;Kim, Yeon-Jun;Oh, Yung-Hwan
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.2
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    • pp.71-79
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    • 1997
  • In this paper, a codeword-dependent distance normalization(CDDN) and an instar-formed fuzzy smoothing of output distribution are proposed for robust estimation of output probabilities in the FVQ(fuzzy vector quantization)-DHMM(discrete hidden Markov model). The FVQ-DHMM is a variant of DHMM in which the state output probability is estimated by the sum oft he product of the output probability and its weighting factor for each codeword on an input vector. As the performance of the FVQ-DHMM is influenced by weighting factor and output distribution from a state, it is required to get a method to get robust estimation of weighting factors and output distribution for each state. From experimental results, the proposed CDDN method has reduced 24% of error rate over the conventional FVQ-DHMM, and also reduced 79% of error rate when the smoothing of output distribution is also applied to the computation of an output probability. These results indicate that the use of CDDN and the fuzzy smoothing of output distribution to the FVQ-DHMM lead to improved recognition, and therefore it may be used as an alternative to the robust estimation of output probabilities for HMMs.

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Automatic Mesh Generation in the General Three-Dimensional Trimmed Surface using Qua (쿼드트리를 이용한 일반적인 3차원 트림곡면에서의 유한요소 자동생성)

  • 유동진;윤정환
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.3
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    • pp.136-148
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    • 2000
  • In this work, a general method for the mathematical description of three-dimensional trimmed surface is proposed by introducing the base parametric surface and boundary curves. Since mesh density distribution for the analysis may vary by cases, a grid-based mesh generation algorithm using quadtree is proposed in the present work. For the assurance of connectivity of generated meshes among surfaces, a method for the pre-cleaning of boundary curves has been developed to be used in the automatic generation of the finite elements. In addition, mesh-smoothing algorithm is suggested which can be used in the general trimmed surface. In this algorithm nodes are moved on the original surface by the normal projection in each iterative smoothing procedure.

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대변형 해석에서 평활화를 이용한 사면체 요소망의 재조성

  • Gwon, Gi-Hwan;Chae, Su-Won;Sin, Sang-Yeop
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.9 s.180
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    • pp.2397-2405
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    • 2000
  • The remeshing is a method to replace a distorted mesh by a new mesh without interrupting the finite element calculation. The remeshing procedure in this paper refers to the rezoning, for which a sm oothing process is developed to alleviate the distortions of mesh. In the paper, an automatic finite element rezoning system with tetrahedral elements for large deformation analysis has been developed. Our smoothing process is composed of two steps, a surface smoothing and a volume smoothing. In the surface smoothing, checking the dihedral angle and projection on surface patch reduced the change of shape and nodes penetrating die. The constrained Laplacian smoothing has been employed for the volume smoothing process. The state variables are mapped from old mesh to new mesh by using volume coordinates within a tetrahedral element. All these procedures have been linked to the NIKE3D program As illustrated in the examples the overall strategy ensures a robust and efficient rezoning scheme for finite element simulation of metal-forming processes.

Robust Glasses Detection using AAM and Anisotropic Smoothing (AAM 및 비등방성 펑활화를 이용한 안경 검출)

  • Jeon, Seung-Seon;Jo, Seong-Won;Jeong, Seon-Tae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.11a
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    • pp.439-442
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    • 2007
  • 강인한 얼굴 인식 시스템을 만들기 위해서는 안경의 제거가 중요한 요소이다. 이를 위해서는 뛰어난 성능의 안경 검출 방법이 필수적이다. 본 논문에서는 안경의 유무 판단에 관한 새로운 방법을 제안한다. 영상은 조명 부분과 반사부분의 곱으로 이루어져 있다. 얼굴의 경우 안경 고유의 반사계수와 얼굴 고유의 반사계수가 다른 점에 착안하여 anisotropic smoothing 방법을 이용하여 입력 얼굴 영상에서의 반사 부분을 얻고, 이를 이용하여 안경의 반사 부분을 얼굴의 반사부분에서 검출한 뒤 이진화한다. 이후, 이진화 된 안경 픽셀 수를 이용하여 안경의 유무를 판단한다.

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A Study on Feature Selection in Face Image Using Principal Component Analysis and Particle Swarm Optimization Algorithms (PCA와 입자 군집 최적화 알고리즘을 이용한 얼굴이미지에서 특징선택에 관한 연구)

  • Kim, Woong-Ki;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1857_1858
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    • 2009
  • 본 논문에서는 PCA와 입자 군집 최적화 알고리즘을 이용한 얼굴이미지에서 특징선택 방법에 대하여 제안한다. 2차원 얼굴이미지의 히스토그램 분표값에서 정규화합 연산을 이용한 히스토그램 평활화 기법을 거쳐 대비효과를 주어 화질을 개선시켜 준다. PCA는 2차원 얼굴이미지를 이용하여 공분산 행렬을 구한 후 그것의 고유값에 따른 고유벡터를 구하여 얼굴인식에 사용될 특징 벡터들을 추출한다. 또한 추출된 특징벡터 중에서 얼굴인식 성능에 중요한 요소가 되는 특징 벡터들을 입자 군집 최적화 알고리즘을 이용하여 최적화한다. 다항식 기반 RBF 신경회로망을 사용하여 얼굴인식 성능을 평가한다. 본 논문에서 제안된 방법을 통해 최적화된 특징벡터와 얼굴인식률과의 관계를 알 수 있다.

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