• Title/Summary/Keyword: 역거리법

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Suggestion for a splitting technique of the square-root operator of three dimensional acoustic parabolic equation based on two variable rational approximant with a factored denominator (인수분해 된 분모를 갖는 두 변수 유리함수 근사에 기반한 3차원 음향 포물선 방정식 제곱근 연산자의 분할기법 제안)

  • Lee, Keunhwa
    • The Journal of the Acoustical Society of Korea
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    • v.36 no.1
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    • pp.1-11
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    • 2017
  • In this study, novel approximate form of the square-root operator of three dimensional acoustic Parabolic Equation (3D PE) is proposed using a rational approximant for two variables. This form has two advantages in comparison with existing approximation studies of the square-root operator. One is the wide-angle capability. The proposed form has wider angle accuracy to the inclination angle of ${\pm}62^{\circ}$ from the range axis of 3D PE at the bearing angle of $45^{\circ}$, which is approximately three times the angle limit of the existing 3D PE algorithm. Another is that the denominator of our approximate form can be expressed into the product of one-dimensional operators for depth and cross-range. Such a splitting form is very preferable in the numerical analysis in that the 3D PE can be easily transformed into the tridiagonal matrix equation. To confirm the capability of the proposed approximate form, comparative study of other approximation methods is conducted based on the phase error analysis, and the proposed method shows best performance.

Spatial Distribution Modeling of Daily Rainfall Using Co-Kriging Method (Co-kriging 기법을 이용한 일강우량 공간분포 모델링)

  • Hwang Sye-Woon;Park Seung-Woo;Jang Min-Won;Cho Young-Kyoung
    • Journal of Korea Water Resources Association
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    • v.39 no.8 s.169
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    • pp.669-676
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    • 2006
  • Hydrological factors, especially the spatial distribution of interpretation on precipitation is often topic of interest in studying of water resource. The popular methods such as Thiessen method, inverse distance method, and isohyetal method are limited in calculating the spatial continuity and geographical characteristics. This study was intended to overcome those limitations with improved method that will yield higher accuracy. The monthly and yearly precipitation data were produced and compared with the observed daily precipitation to find correlation between them. They were then used as secondary variables in Co-kriging method, and the result was compared with the outcome of existing methods like inverse distance method and kriging method. The comparison of the data showed that the daily precipitation had high correlation with corresponding year's average monthly amounts of precipitation and the observed average monthly amounts of precipitation. Then the result from the application of these data for a Co-kriging method confirmed increased accuracy in the modeling of spatial distribution of precipitation, thus indirectly reducing inconsistency of the spatial distribution of hydrological factors other than precipitation.

A Study on Underwater Source Localization Using the Wideband Interference Pattern Matching (수중에서 광대역 간섭 패턴 정합을 이용한 음원의 위치 추정 연구)

  • Chun, Seung-Yong;Kim, Se-Young;Kim, Ki-Man
    • The Journal of the Acoustical Society of Korea
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    • v.26 no.8
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    • pp.415-425
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    • 2007
  • This paper proposes a method of underwater source localization using the wideband interference patterns matching. By matching two interference patterns in the spectrogram, it is estimated a ratio of the range from source to sensor5, and then this ratio is applied to the Apollonius circle. The Apollonius circle is defined as the locus of all points whose distances from two fixed points are in a constant value so that it is possible to represent the locus of potential source location. The Apollonius circle alone, however still keeps the ambiguity against the correct source location. Therefore another equation is necessary to estimate the unique locus of the source location. By estimating time differences of signal arrivals between source and sensors, the hyperbola equation is used to get the cross point of the two equations, where the point being assumed to be the source position. Simulations are performed to get performances of the proposed algorithm. Also, comparisons with real sea experiment data are made to prove applicability of the algorithm in real environment. The results show that the proposed algorithm successfully estimates the source position within an error bound of 10%.

Design and Implementation of RF based locating System for NLOS Environment (비가시성을 고려한 RF 기반 측위 시스템의 설계 및 구현)

  • Choi, Hoon;Baek, Yun-Ju
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.7A
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    • pp.654-661
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    • 2011
  • RTLS (Real-time locating systems) are used for tracking the location of people or assets in real time. In this system, RTLS readers continuously communicate with RTLS tags for measuring time or ranges and location engine tries to calculate accurate location of tags. However, when we attempt to apply this system to real world, the non-line-of-sight(NLOS) problem can be critical to the system performance because of the obstacles. In this paper, we suggest a new location estimation method for an NLOS environment using a reader-selection strategy. We have implemented all components of the locating system and carried out experiments in a test-bed. The accuracy of the system is 50% better than that of the existing general locating system.

Catchment Similarity Assessment Based on Catchment Characteristics of GIS in Geum River Catchments, Korea (금강 유역을 대상으로 한 GIS 기반의 유역의 유사성 평가)

  • Lee, Hyo Sang;Park, Ki Soon;Jung, Sung Heuk;Choi, Seuk Keun
    • Journal of Korean Society for Geospatial Information Science
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    • v.21 no.3
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    • pp.37-46
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    • 2013
  • Similarity measure of catchments is essential for regionalization studies, which provide in depth analysis in hydrological response and flood estimations at ungauged catchments. However, this similarity measure is often biased to the selected catchments and is not clearly explained in hydrological sense. This study applied a type of hydrological similarity distance measure-Flood Estimation Handbook to 25 Geum River catchments, Korea. Three Catchment Characteristics, Area(A)-Annual precipitation(SAAR)-SCS Curve Number(CN), are used in Euclidian distance measures. Furthermore, six index of Flow Duration Curve are applied to clustering analysis of SPSS. The catchments' grouping of hydrological similarity measures suggests three groups (H1, H2 and H3) and the four catchments are not grouped in this study. The clustering analysis of FDC provides four Groups; F1, F2, F3 and F4. The six catchments (out of seven) of H1 are grouped in F1, while Sangyeogyo is grouped in F2. The four catchments (out of six) of H2 are also grouped in F2, while Cheongju and Guryong are grouped in F1. The catchments of H3 are categorized in F1. The authors examine the results (H1, H2 and H3) of similarity measure based on catchment physical descriptors with results (F1 and F2) of clustering based on catchment hydrological response. The results of hydrological similarity measures are supported by clustering analysis of FDC. This study shows a potential of hydrological catchment similarity measures in Korea.

Co-registration of PET-CT Brain Images using a Gaussian Weighted Distance Map (가우시안 가중치 거리지도를 이용한 PET-CT 뇌 영상정합)

  • Lee, Ho;Hong, Helen;Shin, Yeong-Gil
    • Journal of KIISE:Software and Applications
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    • v.32 no.7
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    • pp.612-624
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    • 2005
  • In this paper, we propose a surface-based registration using a gaussian weighted distance map for PET-CT brain image fusion. Our method is composed of three main steps: the extraction of feature points, the generation of gaussian weighted distance map, and the measure of similarities based on weight. First, we segment head using the inverse region growing and remove noise segmented with head using region growing-based labeling in PET and CT images, respectively. And then, we extract the feature points of the head using sharpening filter. Second, a gaussian weighted distance map is generated from the feature points in CT images. Thus it leads feature points to robustly converge on the optimal location in a large geometrical displacement. Third, weight-based cross-correlation searches for the optimal location using a gaussian weighted distance map of CT images corresponding to the feature points extracted from PET images. In our experiment, we generate software phantom dataset for evaluating accuracy and robustness of our method, and use clinical dataset for computation time and visual inspection. The accuracy test is performed by evaluating root-mean-square-error using arbitrary transformed software phantom dataset. The robustness test is evaluated whether weight-based cross-correlation achieves maximum at optimal location in software phantom dataset with a large geometrical displacement and noise. Experimental results showed that our method gives more accuracy and robust convergence than the conventional surface-based registration.

Radar Rainfall Adjustment by Kalman-Filter Method and Flood Simulation using two Distributed Models (칼만필터 기법에 의한 레이더 강우 보정 및 분포형 모형을 이용한 홍수 모의)

  • Bae, Young-Hye;Kim, Byung-Sik;Seoh, Byung-Ha;Kim, Hung-Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2008.05a
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    • pp.147-153
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    • 2008
  • 본 연구에서는 레이더 강우를 이용하여 시공간적 변동성을 고려한 격자형 면적강우량을 산정하기 위하여 추계학적 방법인 칼만필터 기법을 이용하여 지상 강우 관측망과 레이더 강우 관측망을 조합하여 면적강우량을 산정하였다. 또한 전통적인 지상 강우량을 면적강우량으로 전환하는 기법인 Thiessen법, 역거리법, 크리깅 기법을 이용하여 면적강우량을 산정한 후 칼만필터 기법에 의해 보정된 면적 레이더 강우와 비교 하였다. 그 결과, 칼만필터 기법에 의해 보정된 레이더 강우는 실제 강우 분포와 유사한 공간분포를 가지는 원시 레이더 강우 분포를 잘 재현하면서도 강우 체적(볼륨)은 우량계 자료의 체적과 유사하게 나타났다. 그리고 칼만필터 기법에 의해 보정된 레이더 강우를 물리적 기반의 분포형 모형인 $Vflo^{TM}$ 모형과 준분포형 모형인 ModClark 모형에 적용하여 홍수유출을 모의하였다. 그 결과, $Vflo^{TM}$ 모형은 첨두시간과 첨두치가 관측 수문곡선과 유사하게 모의되었으며 ModClark 모형은 총 유출체적에서 좋은 결과를 나타냈다. 그러나 매개변수 검증에서는 $Vflo^{TM}$ 모형이 ModClark 모형보다 관측 수문곡선을 잘 재현하였다. 이를 통해 지상강우와 레이더 강우를 적절하게 조합하여 정확도 높은 면적강우량을 산정하고 분포형 수문모형과 연계하여 홍수유출모의를 실시할 경우 충분한 적용성을 가지고 있음을 확인할 수 있었다.

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Flood Analysis Using Distributed Runoff Model in Moutainous Watershed (산지하천 유역에서의 분포형 유출모형을 통한 홍수 해석)

  • Kim, Seung-Joo;Choi, Chang-Won;Yi, Jae-Eung
    • Proceedings of the Korea Water Resources Association Conference
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    • 2010.05a
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    • pp.1274-1278
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    • 2010
  • 우리나라는 국토의 60% 이상이 산지로 구성되어 있다. 현재 국내에서는 홍수유출 해석 시 집중형 모형을 주로 이용하고 있다. 집중형 모형은 대개 유역 최하류 지점의 유출구를 기준으로 홍수유출 해석 모형의 매개변수 추정 및 검증이 이루어지며, 유역의 매개변수를 소유역별로 동일하게 가정하여 입력 자료를 구성한다. 따라서 산지하천 유역의 홍수유출 해석 및 예측 시 경사가 급하고 고도가 높으며 집중시간이 빠른 산지하천의 지형적 요소 및 특징을 적절히 고려하지 못하여 정확한 예측 및 해석을 하는데 어려움이 발생한다. 분포형 모형은 하나의 유출구가 아닌 임의의 지점에서 홍수유출 해석이 가능하며, 강우자료 입력 시 유역 평균강우가 아닌 분포형 강우, 즉 역거리자승법, 크리깅 기법 등을 사용하여 분포형 강우로 변환한 지점강우와 레이더 강우를 사용하여 보다 정확한 홍수유출 해석이 가능하다. 그리고 분포형 모형은 입력하는 모든 매개변수를 지형 자료에서 추출하여 사용하기 때문에 인공적인 해석을 배제할 수 있어 인위적인 오차를 줄일 수 있다. 본 연구에서는 평창강 상류유역을 시험유역으로 선정하여 연구를 수행하였으며, 분포형 모형의 하나인 $Vflo^{TM}$를 사용하여 홍수유출해석을 수행하였다. 지형자료만을 사용하여 특정 지점이 아닌 유역 내 임의 지점의 홍수유출량과 집중시간, 홍수위를 산정할 수 있어 산지하천에서 돌발적으로 발생하는 홍수를 신속하게 예측할 수 있었다. 또한 임의의 지점에서의 설계홍수량을 손쉽게 산정하여 수공구조물 설계 시 이용할 수 있으므로 홍수에 의한 인적 물적 피해를 최소할 할 수 있을 것으로 기대된다.

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Evaluation of the Optimum Interpolation for Creating Hydraulic Model from Close Range Digital Photogrammetry (근접수치사진측량으로 수리모형해석에 적용 시 최적보간법 평가)

  • Choi Hyun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.23 no.3
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    • pp.251-260
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    • 2005
  • The Development of CCD has contributed to great advancement in mapping technology with giving benefits to research community of photogrammetry. The purpose of this paper is to find the best selection of interpolation method for creating a terrain model form close range digital photogrammetry. T-test as a kind of statistical analysis was conducted to analyze the similarity of hydraulic model with close range digital photogrammetry and trigonometric leveling. Also, many interpolation methods such as inverse distance, kriging, nearest neighbor and TIN about the hydraulic model interpolation were conducted to compare the results for computer to display actual terrain an optimum interpolation of the digital elevation model form close range digital photogrammetry. The results revealed that kriging and TIN interpolation were efficient methods to judge the hazard interpolation law by analyzing geometric similarity of hydraulic model against hydraulic model application.

Development of an Automatic 3D Coregistration Technique of Brain PET and MR Images (뇌 PET과 MR 영상의 자동화된 3차원적 합성기법 개발)

  • Lee, Jae-Sung;Kwark, Cheol-Eun;Lee, Dong-Soo;Chung, June-Key;Lee, Myung-Chul;Park, Kwang-Suk
    • The Korean Journal of Nuclear Medicine
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    • v.32 no.5
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    • pp.414-424
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    • 1998
  • Purpose: Cross-modality coregistration of positron emission tomography (PET) and magnetic resonance imaging (MR) could enhance the clinical information. In this study we propose a refined technique to improve the robustness of registration, and to implement more realistic visualization of the coregistered images. Materials and Methods: Using the sinogram of PET emission scan, we extracted the robust head boundary and used boundary-enhanced PET to coregister PET with MR. The pixels having 10% of maximum pixel value were considered as the boundary of sinogram. Boundary pixel values were exchanged with maximum value of sinogram. One hundred eighty boundary points were extracted at intervals of about 2 degree using simple threshold method from each slice of MR images. Best affined transformation between the two point sets was performed using least square fitting which should minimize the sum of Euclidean distance between the point sets. We reduced calculation time using pre-defined distance map. Finally we developed an automatic coregistration program using this boundary detection and surface matching technique. We designed a new weighted normalization technique to display the coregistered PET and MR images simultaneously. Results: Using our newly developed method, robust extraction of head boundary was possible and spatial registration was successfully performed. Mean displacement error was less than 2.0 mm. In visualization of coregistered images using weighted normalization method, structures shown in MR image could be realistically represented. Conclusion: Our refined technique could practically enhance the performance of automated three dimensional coregistration.

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