• 제목/요약/키워드: 2D non-linear interpolation

검색결과 12건 처리시간 0.022초

탄성파 속도 이방성을 고려한 3차원 주시 모델링 (3D traveltime calculation considering seismic velocity anisotropy)

  • 정창호;서정희
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2007년도 공동학술대회 논문집
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    • pp.203-208
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    • 2007
  • Due to the long tectonic history and the very complex geologic formations in Korea, the anisotropic characteristics of subsurface material may often change very greatly and locally. The algorithms for the travel time computation commonly used, however, may not give sufficiently precise results particularly for the complex and strong anisotropic model, since they are based on the two-dimensional (2D) earth and/or weak anisotropy assumptions. This study is intended to develope a three-dimensional (3D) modeling algorithm to precisely calculate the first arrival time in the complex anisotropic media. We assume 3D TTI (tilted transversely isotropy) medium having the arbitrary symmetry axis. The algorithm includes the 2D non-linear interpolation scheme to calculate the traveltimes inside the grid and the 3D traveltime mapping to fill the 3D model with first arrival times. The weak anisotropy assumption, moreover, can be overcome through devising a numerical approach of the steepest descent method in the calculation of minimum traveltime, instead of using approximate solution.

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영상보간법을 이용한 디지털 치근단 방사선영상의 개선에 관한 연구 (A Study on the Improvement of Digital Periapical Images using Image Interpolation Methods)

  • 송남규;고광준
    • 치과방사선
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    • 제28권2호
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    • pp.387-413
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    • 1998
  • Image resampling is of particular interest in digital radiology. When resampling an image to a new set of coordinate, there appears blocking artifacts and image changes. To enhance image quality, interpolation algorithms have been used. Resampling is used to increase the number of points in an image to improve its appearance for display. The process of interpolation is fitting a continuous function to the discrete points in the digital image. The purpose of this study was to determine the effects of the seven interpolation functions when image resampling in digital periapical images. The images were obtained by Digora, CDR and scanning of Ektaspeed plus periapical radiograms on the dry skull and human subject. The subjects were exposed to intraoral X-ray machine at 60kVp and 70 kVp with exposure time varying between 0.01 and 0.50 second. To determine which interpolation method would provide the better image, seven functions were compared; (1) nearest neighbor (2) linear (3) non-linear (4) facet model (5) cubic convolution (6) cubic spline (7) gray segment expansion. And resampled images were compared in terms of SNR(Signal to Noise Ratio) and MTF(Modulation Transfer Function) coefficient value. The obtained results were as follows ; 1. The highest SNR value(75.96dB) was obtained with cubic convolution method and the lowest SNR value(72.44dB) was obtained with facet model method among seven interpolation methods. 2. There were significant differences of SNR values among CDR, Digora and film scan(P<0.05). 3. There were significant differences of SNR values between 60kVp and 70kVp in seven interpolation methods. There were significant differences of SNR values between facet model method and those of the other methods at 60kVp(P<0.05), but there were not significant differences of SNR values among seven interpolation methods at 70kVp(P>0.05). 4. There were significant differences of MTF coefficient values between linear interpolation method and the other six interpolation methods (P< 0.05). 5. The speed of computation time was the fastest with nearest -neighbor method and the slowest with non-linear method. 6. The better image was obtained with cubic convolution, cubic spline and gray segment method in ROC analysis. 7. The better sharpness of edge was obtained with gray segment expansion method among seven interpolation methods.

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Investigation of nonlinear free vibration of FG-CNTRC cylindrical panels resting on elastic foundation

  • J.R. Cho
    • Structural Engineering and Mechanics
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    • 제88권5호
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    • pp.439-449
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    • 2023
  • Non-linear vibration characteristics of functionally graded CNT-reinforced composite (FG-CNTRC) cylindrical shell panel on elastic foundation have not been sufficiently examined. In this situation, this study aims at the profound numerical investigation of the non-linear vibration response of FG-CNTRC cylindrical panels on Winkler-Pasternak foundation by introducing an accurate and effective 2-D meshfree-based non-linear numerical method. The large-amplitude free vibration problem is formulated according to the first-order shear deformation theory (FSDT) with the von Karman non-linearity, and it is approximated by Laplace interpolation functions in 2-D natural element method (NEM) and a non-linear partial derivative operator HNL. The complex and painstaking numerical derivation on the curved surface and the crucial shear locking are overcome by adopting the geometry transformation and the MITC3+ shell elements. The derived nonlinear modal equations are iteratively solved by introducing a three-step iterative solving technique which is combined with Lanczos transformation and Jacobi iteration. The developed non-linear numerical method is estimated through the benchmark test, and the effects of foundation stiffness, CNT volume fraction and functionally graded pattern, panel dimensions and boundary condition on the non-linear vibration of FG-CNTRC cylindrical panels on elastic foundation are parametrically investigated.

3차원 불균질 횡등방성 매질에 대한 탄성파 초동 주시 모델링 (Seismic First Arrival Time Computation in 3D Inhomogeneous Tilted Transversely Isotropic Media)

  • 정창호;서정희
    • 지구물리와물리탐사
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    • 제9권3호
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    • pp.241-249
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    • 2006
  • 한국의 지질 환경은 암석 분포가 매우 다양하고 복잡한 구조 활동의 영향을 받아 지하매질의 이방성 특성이 국부적으로 심하게 변화한다. 기존의 이방성 주시 모델링의 경우 지질 모델을 2차원으로 단순화시킴으로써 이러한 복잡한 지질 환경을 제대로 고려할 수 없었다. 또한 약 이방성 가정을 사용하여 실제로 나타날 수 있는 지하 매질의 심각한 이방성 영향을 주시 모델링에서 고려할 수 없었다. 이에 이 연구에서는 보다 실제적이고 복잡한 3차원 횡등방성 매질(transversely isotropic media)에서 q-P파의 초동 주시 양상을 모사할 수 있는 주시 모델링 알고리듬을 개발하였다. 이 알고리듬에서는 2차원 비선형 주시 내삽(2D nonlinear traveltime interpolation) 기법과 주시의 3차원 격자 채움법(mapping)을 이용한 직접 전파법(direct calculation)을 통해 급격한 물성의 변화에도 주시 계산이 가능하도록 하였다. 또한, 최소 주시 계산과정에서 수치 미분을 통한 최대 경사법(steepest descent method)을 사용하여 약 이방성 가정을 극복하였다. 개발된 알고리듬은 해석해와 비교하여 그 타당성을 검증하였고 3차원 2층구조에 대한 주시 계산을 수행하여 물성이 급격히 변화하는 모델에 대해서도 안정적으로 주시 계산이 이루어짐을 확인하였다. 이 연구에서 개발한 3차원 주시 모델링 알고리듬은 향후 구조보정이나 토모그래피 알고리듬 개발에 사용될 수 있을 것으로 기대한다.

비 샘플 간격을 갖는 빠른 시변 채널 환경에서의 OFDM 시스템을 위한 채널 추정 기법 (Channel Estimation for OFDM Systems under Non-Sampled Space and Fast Time-Varying Channels)

  • 김동주;정성순;홍대식;강창언
    • 한국통신학회논문지
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    • 제29권2C호
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    • pp.238-246
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    • 2004
  • 본 논문에서는 비 샘플간격을 갖는 빠른 시변채널에서 OFDM 시스템의 위한 채널 추정 기법과 최적 보간기 대신 선형 보간기를 사용한 채널 추정기법이 제안되었다. 제안된 채널 추정기는 비 샘플간격을 갖는 채널의 기존의 채널 추정기가 활용하지 못했던 주파수 상관관계를 이용한 2-D 보간기법을 적용하여 채널의 추정의 정확도를 향상시켜 샘플 간격 채널 뿐만 아니라 실제 채널과 유시한 비 샘플간격 채널에도 적용이 가능하다. 또한 기존의 채널 추정기와 같은 복잡도를 갖는 경우에도 기존의 채널추정기의 성능을 능가함을 모의 실험을 통해 보여졌다. 또한 시간에 따른 채널의 변화가 적을 경우 도플러와 같은 시간변화에 대한 정보를 사용하지 않는 선형 보간기가 최적 보간를 대체하여도 성능 열화가 적음을 실험을 통해서 보였다. 따라서 제안된 채널 추정기는 비 샘플 간격을 갖는 빠른 시변채널에서 OFDM의 성능을 향상시키는데 도움을 줄 수 있다.

Iris Image Enhancement for the Recognition of Non-ideal Iris Images

  • Sajjad, Mazhar;Ahn, Chang-Won;Jung, Jin-Woo
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제10권4호
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    • pp.1904-1926
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    • 2016
  • Iris recognition for biometric personnel identification has gained much interest owing to the increasing concern with security today. The image quality plays a major role in the performance of iris recognition systems. When capturing an iris image under uncontrolled conditions and dealing with non-cooperative people, the chance of getting non-ideal images is very high owing to poor focus, off-angle, noise, motion blur, occlusion of eyelashes and eyelids, and wearing glasses. In order to improve the accuracy of iris recognition while dealing with non-ideal iris images, we propose a novel algorithm that improves the quality of degraded iris images. First, the iris image is localized properly to obtain accurate iris boundary detection, and then the iris image is normalized to obtain a fixed size. Second, the valid region (iris region) is extracted from the segmented iris image to obtain only the iris region. Third, to get a well-distributed texture image, bilinear interpolation is used on the segmented valid iris gray image. Using contrast-limited adaptive histogram equalization (CLAHE) enhances the low contrast of the resulting interpolated image. The results of CLAHE are further improved by stretching the maximum and minimum values to 0-255 by using histogram-stretching technique. The gray texture information is extracted by 1D Gabor filters while the Hamming distance technique is chosen as a metric for recognition. The NICE-II training dataset taken from UBRIS.v2 was used for the experiment. Results of the proposed method outperformed other methods in terms of equal error rate (EER).

후방 감시 차량용 레이다를 이용한 ISAR 영상 형성 (ISAR Imaging Using Rear View Radars of an Automobile)

  • 강병수;이현석;이승재;강민석;김경태
    • 한국전자파학회논문지
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    • 제25권2호
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    • pp.245-250
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    • 2014
  • 본 논문은 선형 주파수 변조-주파수 편이(Linear Frequency Modulation-Frequency Shift Keying: LFM-FSK) 신호와 위상비교 모노펄스 방식을 사용하는 후방 감시 차량용 레이다의 ISAR(Inverse Synthetic Aperture Radar) 영상 형성 기법에 관하여 제시한다. 두 개의 계단 주파수(stepped frequency) 신호를 순차적으로 연결한 LFM-FSK 신호를 이용하여 후방 관측을 통해 차량에 대한 ISAR 영상을 형성할 수 있다. 그러나 운전자 후방에 위치한 차량을 관측하여 ISAR 영상을 형성할 경우, 레이다 관측 각도(radar's aspect angle)의 변화율이 일정하지 않기 때문에 ISAR 영상이 흐려진다. 이를 해결하기 위해 위상비교 모노펄스 방식으로 추정한 각도 정보와 각도-주파수 영역(domain)에서의 레이다 수신데이터를 사용하여 각 주파수에서 각도별로 1차원 라그랑주 보간법(Lagrange interpolation)을 수행한다. 이를 통해 관측 각도 변화율이 일정한 각도-주파수 데이터를 획득할 수 있다. 시뮬레이션 결과는 제시된 기법을 적용하여 초점이 맞는 ISAR 영상이 형성됨을 보여준다.

2차원 균열판의 p-적응적 유한요소해석을 위한 정규크리깅 보간법의 적용 (Application of Ordinary Kriging Interpolation Method for p-Adaptive Finite Element Analysis of 2-D Cracked Plates)

  • 우광성;조준형;박미영
    • 한국전산구조공학회논문집
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    • 제19권4호
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    • pp.429-440
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    • 2006
  • 이 연구의 목적은 두 가지로 대별할 수 있다. 첫째는, 베리오그램 모델링에 기초를 둔 정규크리깅 보간법의 p-적응적 유한요소법으로의 적용성이다. 둘째는, 수정된 초수렴 팻취복구 기법을 사용한 사후오차평가기와 연계된 계층적 p-체눈 세분화의 적응적 유한요소 과정을 제시하는 것이다. 가중치를 부여한 보간기법중의 하나인 정규크리깅 방법은 가우스 적분점에서의 응력데이타로 부터 소위 준정해를 얻는데 적용된다. 가중치를 동일하게 가정하는 종래의 보간기법과는 달리 실험적 및 이론적 베리오그램을 작성한 후 보간을 위한 가중치를 결정하게 된다. 한편, 적응적 p-체눈 세분화는 해석영역의 각 체눈에서 p-차수를 만족할만한 정확도를 얻을 수 있도록 프로그램내에서 자동으로 사후오차평가를 통해 불균등 또는 선택적으로 증가시킨다. 수정된 초수렴 팻취복구기법을 검증하기 위해 극한치를 사용한 새로운 오차평가기가 제안된다. 제안된 알고리즘의 정당성은 선형탄성파괴역학의 대표적 문제들인 중앙균열판, 일변균열 및 양변균열 해석을 통해 테스트되었다.

Identification of isotropic and orthotropic constitutive parameters by FEA-free energy-based inverse characterization method

  • Shang, Shen;Yun, Gun Jin;Kunchum, Shilpa;Carletta, Joan
    • Structural Engineering and Mechanics
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    • 제45권4호
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    • pp.471-494
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    • 2013
  • In this paper, identification of isotropic and orthotropic linear elastic material constitutive parameters has been demonstrated by a FEA-free energy-based inverse analysis method. An important feature of the proposed method is that it requires no finite element (FE) simulation of the tested material. Full-field displacements calculated using digital image correlation (DIC) are used to compute DIC stress fields enforcing the equilibrium condition and DIC strain fields using interpolation functions. Boundary tractions and displacements are implicitly recast into an objective function that measures the energy residual of external work and internal elastic strain energy. The energy conservation principle states that the residual should be zero, and so minimizing this objective function inversely identifies the constitutive parameters. Synthetic data from simulated testing of isotropic materials and orthotropic composite materials under 2D plane stress conditions are used for verification of the proposed method. When identifying the constitutive parameters, it is beneficial to apply loadings in multiple directions, and in ways that create non-uniform stress distributions. The sensitivity of the parameter identification method to noise in both the measured full-field DIC displacements and loadings has been investigated.

Validation of spent nuclear fuel decay heat calculation by a two-step method

  • Jang, Jaerim;Ebiwonjumi, Bamidele;Kim, Wonkyeong;Park, Jinsu;Choe, Jiwon;Lee, Deokjung
    • Nuclear Engineering and Technology
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    • 제53권1호
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    • pp.44-60
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    • 2021
  • In this paper, we validate the decay heat calculation capability via a two-step method to analyze spent nuclear fuel (SNF) discharged from pressurized water reactors (PWRs). The calculation method is implemented with a lattice code STREAM and a nodal diffusion code RAST-K. One of the features of this method is the direct consideration of three-dimensional (3D) core simulation conditions with the advantage of a short simulation time. Other features include the prediction of the isotope inventory by Lagrange non-linear interpolation and the use of power history correction factors. The validation is performed with 58 decay heat measurements of 48 fuel assemblies (FAs) discharged from five PWRs operated in Sweden and the United States. These realistic benchmarks cover the discharge burnup range up to 51 GWd/MTU, 23.2 years of cooling time, and spanning an initial uranium enrichment range of 2.100-4.005 wt percent. The SNF analysis capability of STREAM is also employed in the code-to-code comparison. Compared to the measurements, the validation results of the FA calculation with RAST-K are within ±4%, and the pin-wise results are within ±4.3%. This paper successfully demonstrates that the developed decay heat calculation method can perform SNF back-end cycle analyses.