• Title/Summary/Keyword: 공간 내삽

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Comparison and Evaluation of Various Spatial Interpolation Methods (다양한 공간 보간법의 비교와 평가)

  • Kim, Tae Beom;Kim, Il Hwan
    • Proceedings of the Korea Water Resources Association Conference
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    • 2018.05a
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    • pp.247-247
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    • 2018
  • 공학이나 과학에서 다루는 거의 모든 현상이나 물체는 시공간적으로 연속성을 지니고 있으며, 지형이나 지하수위분포가 대표적인 사례에 해당한다. 강수량 분포 또한 지역적인 스케일을 고려할 때 연속성을 지니고 있다고 가정될 수 있다. 이러한 연속성을 지닌 현상이나 물체를 연구 대상으로 취할 경우, 모든 위치에서의 관찰 값이나 계산 값을 얻기란 불가능하므로, 불연속적이거나 이산적인 위치에서 불연속적인 값을 얻게 된다. 이러한 시공간적으로 이산적이고 불연속적인 자료를 바탕으로 어떠한 작업을 수행하고자 할 때 자료의 연속성을 가정하게 되며, 따라서 연속성을 가정하고 내삽 처리된 근사값을 이용하게 된다. 따라서 불연속적인 자료의 내삽 처리 과정이 연구 결과의 성패를 좌우할 만큼 매우 중요할 수 있다. 하지만 대다수의 연구자나 실무자들은 내삽 처리의 중요성을 간과하고 있으며, 자료처리나 준비 과정에서 거쳐야하는 하나의 단순한 단계로만 여길 뿐이다. 따라서, 본 연구에서는 역거리 가중치법(Reciplocal Inverse Distance method), 역거리 제곱 가중치법(Inverse Square Distance method), Dual Kriging법, Hardy의 Multiquadric법, Completely Regularized spline법, 삼각망법(TIN) 등 기존에 알려진 공간자료 보간법에 대해서 소개하며, 알려져 있는 공간함수를 이용하여 다양한 경우에 대한 비교, 분석을 수행한다. 보간법의 종류에 따라 내삽 결과는 매개변수 값에 지대한 영향을 받을 수 있기 때문에, 매개변수에 따른 내삽 결과를 분석하고, 정확성과 적용성 등 다양한 내삽기법들에 대해서 평가한다.

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A Study on Matching Pursuit Interpolation with Moveout Correction (시간차 보정을 적용한 Matching Pursuit 내삽 기법 연구)

  • Lee, Jaekang;Byun, Joongmoo;Seol, Soon Jee;Kim, Young
    • Geophysics and Geophysical Exploration
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    • v.21 no.2
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    • pp.103-111
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    • 2018
  • The recent research aim of seismic trace interpolation is to effectively interpolate the data with spatial aliasing. Among various interpolation methods, the Matching Pursuit interpolation, that finds the proper combination of basis functions which can best recover traces, has been developed. However, this method cannot interpolate aliased data. Thus, the multi-component Matching Pursuit interpolation and moveout correction method have been proposed for interpolation of spatially aliased data. It is difficult to apply the multi-component Matching Pursuit interpolation to interpolating the OBC (Ocean Bottom Cable) data which is the multi-component data obtained at the ocean bottom because the isolation of P wave component is required in advance. Thus, in this study, we dealt with an effective single-component matching Pursuit interpolation method in OBC data where P-wave and S-wave are mixed and spatial aliasing is present. To do this, we proposed the Ricker wavelet based single-component Matching Pursuit interpolation workflow with moveoutcorrection and systematically investigated its effectiveness. In this workflow, the spatial aliasing problem is solved by applying constant value moveout correction to the data before the interpolation is performed. After finishing the interpolation, the inverse moveout correction is applied to the interpolated data using the same constant velocity. Through the application of our workflow to the synthetic OBC seismic data, we verified the effectiveness of the proposed workflow. In addition, we showed that the interpolation of field OBC data with severe spatial aliasing was successfully performed using our workflow.

An Evaluation of Spatial Interpolation of Statistical Information Using Dasymetric Mapping (밀도구분도 매핑을 이용한 통계정보 공간 내삽의 유효성 평가)

  • Lee, Byoung-Kil
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.24 no.4
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    • pp.343-350
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    • 2006
  • For integrating and utilizing the statistical data, which is summarized by arbitrary areal unit such as demographics, with stellite imagery or other GIS data, areal unit of both data should be accorded. Dasymetric mapping is proposed as a useful method fur disaggregating the aggregated statistical data to finer areal unit or generating surface model from object data such as polygonal area. This research evaluate the effectiveness of dasymetric mapping by 1) summarizing the yellow page information by administrative district, 2) modeling the business density using dasymetric mapping, and 3) comparing the business densities of raw data and that of spatial interpolation result.

A Spatial Interpolation Model for Daily Minimum Temperature over Mountainous Regions (산악지대의 일 최저기온 공간내삽모형)

  • Yun Jin-Il;Choi Jae-Yeon;Yoon Young-Kwan;Chung Uran
    • Korean Journal of Agricultural and Forest Meteorology
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    • v.2 no.4
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    • pp.175-182
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    • 2000
  • Spatial interpolation of daily temperature forecasts and observations issued by public weather services is frequently required to make them applicable to agricultural activities and modeling tasks. In contrast to the long term averages like monthly normals, terrain effects are not considered in most spatial interpolations for short term temperatures. This may cause erroneous results in mountainous regions where the observation network hardly covers full features of the complicated terrain. We developed a spatial interpolation model for daily minimum temperature which combines inverse distance squared weighting and elevation difference correction. This model uses a time dependent function for 'mountain slope lapse rate', which can be derived from regression analyses of the station observations with respect to the geographical and topographical features of the surroundings including the station elevation. We applied this model to interpolation of daily minimum temperature over the mountainous Korean Peninsula using 63 standard weather station data. For the first step, a primitive temperature surface was interpolated by inverse distance squared weighting of the 63 point data. Next, a virtual elevation surface was reconstructed by spatially interpolating the 63 station elevation data and subtracted from the elevation surface of a digital elevation model with 1 km grid spacing to obtain the elevation difference at each grid cell. Final estimates of daily minimum temperature at all the grid cells were obtained by applying the calculated daily lapse rate to the elevation difference and adjusting the inverse distance weighted estimates. Independent, measured data sets from 267 automated weather station locations were used to calculate the estimation errors on 12 dates, randomly selected one for each month in 1999. Analysis of 3 terms of estimation errors (mean error, mean absolute error, and root mean squared error) indicates a substantial improvement over the inverse distance squared weighting.

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Regionalization of Daily Flow Characteristics Using Flow Duration Curve and Spatial Interpolation Algorithm (유황곡선과 공간 내삽 알고리즘을 이용한 일유출량 특성의 지역화)

  • Yun, Yong-Nam;Kim, Jae-Seong;Lee, Dong-Ryul
    • Journal of Korea Water Resources Association
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    • v.33 no.6
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    • pp.671-679
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    • 2000
  • Regionalization technique using flow duration curve and spatial interpolation algorithm is developed for the purpose of estimating daily flow time series at ungauged station. In this study, we assumed a part of 8 gauging stations of Nakdong River basin as ungauged stations. Then, we generated flow duration curves and daily flow hydrographs by regionalization technique at ungauged stations. And we compared generated and observed hydrographs. The simulation results showed that the observed flows were well simulated by the proposed method and that the general patterns of the observed flows were satisfactorily reproduced by the regionalization technique. From these results, it is possible that we obtain daily flow information without application of labour intensive and time consuming deterministic models, which require complicating quantification of model parameter values. And we compared the regionalization techniques with the specific discharge method which is the most general approach in hydrological practice in Korea. The results showed that the regionalization technique was superior to specific discharge method.method.

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Comparison of Daily Rainfall Interpolation Techniques and Development of Two Step Technique for Rainfall-Runoff Modeling (강우-유출 모형 적용을 위한 강우 내삽법 비교 및 2단계 일강우 내삽법의 개발)

  • Hwang, Yeon-Sang;Jung, Young-Hun;Lim, Kwang-Suop;Heo, Jun-Haeng
    • Journal of Korea Water Resources Association
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    • v.43 no.12
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    • pp.1083-1091
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    • 2010
  • Distributed hydrologic models typically require spatial estimates of precipitation interpolated from sparsely located observational points to the specific grid points. However, widely used estimation schemes fail to describe the realistic variability of daily precipitation field. We compare and contrast the performance of statistical methods for the spatial estimation of precipitation in two hydrologically different basins, and propose a two-step process for effective daily precipitation estimation. The methods assessed are: (1) Inverse Distance Weighted Average (IDW); (2) Multiple Linear Regression (MLR); (3) Climatological MLR; and (4) Locally Weighted Polynomial Regression (LWP). In the suggested simple two-step estimation process, precipitation occurrence is first generated via a logistic regression model before applying IDW scheme (one of the local scheme) to estimate the amount of precipitation separately on wet days. As the results, the suggested method shows the better performance of daily rainfall interpolation which has spatial differences compared with conventional methods. And this technique can be used for streamflow forecasting and downscaling of atmospheric circulation model effectively.

A Methodology for 3-D Optimally-Interpolated Satellite Sea Surface Temperature Field and Limitation (인공위성 해수면온도 3-D 최적 내삽 합성장 생산 방법과 한계점)

  • Park, Kyung-Ae
    • Proceedings of the KSRS Conference
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    • 2009.03a
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    • pp.360-366
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    • 2009
  • AQUA/AMSR-E 인공위성 자료를 활용하여 3차원 최적내삽 해수면온도 합성장을 생산하였고 시간평균장과 비교하여 문제점과 한계점을 기술하였다. 3-D SST 합성장은 북태평양 중앙부에서 전체적으로 $0.05^{\circ}C$ 이하의 작은 오차를 보였으나, 위성 결측이 있는 연안에서는 $0.4^{\circ}C$ 이상의 비교적 큰 오차를 유발하였다. 강한 강수나 구름으로 인한 결측이 있는 부분에서는 $0.1\sim0.15^{\circ}C$에 달하는 오차를 보였다. 시간평균장과 비교한 결과, 구름 부근의 화소에서는 해수면온도를 낮게 계산하는 경향이 있었으며, 해수면온도의 공간적 구배를 감소시키는 평활화가 전체적으로 나타났다. 저위도에서 OI SST는 실제 해수면온도에는 없는 불연속성을 만드는 경향이 있었고, 이는 OI 과정에서 사용한 윈도우의 크기와 해양 현상의 수평 규모가 위도에 따라 변화하는데서 기인하였다. 현상의 공간 규모의 척도인 로스비 내부 변형 반경은 북태평양에서 O(1) 정도로 위도에 따른 공간적 변화가 큰 것으로 나타났다. 본 연구는 SST 합성장 생산 과정에 위도와 해수의 수직적 밀도 구조와 밀접한 관련이 있는 해양 현상의 수평적 규모의 시공간적 변동 특성을 고려해야 함을 제시한다.

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Study on Interpolation Methods for Discontinuous Grids in Preprocessing and Postprocessing of Numerical Modeling (수치모의의 전처리와 후처리를 위한 불연속 격자에서의 보간법에 대한 고찰)

  • Kim, Tae Beom;Kim, Il-Hwan;Lee, Jae-Beom;Yang, Jeong-Seok
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.289-289
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    • 2017
  • 자연 현상을 연구 대상으로 하는 공학적인 접근법이나 과학적인 접근법에 있어서 컴퓨터를 활용한 수치모의는 이제 거의 모든 분야에서 활용되고 있으며, 복잡한 자연 현상을 해석하고 예측하기 위한 필수적인 하나의 도구로 자리매김하고 있다. 하지만, 컴퓨팅 기술의 눈부신 발전에도 불구하고, 과거에 개발되어 현재까지도 활용되고 있는 기술의 보완점은 항상 제기되고 있으며, 또한 필요성에 의한 새로운 기술들이 끊임없이 새롭게 개발되고 있다. 하천 또는 지하수 모의를 위해서 모형을 구축할 때 가장 기본적이며, 가장 중요한 준비 과정은 모의 영역에 대한 격자 형성이다. 연속성을 지닌 모의 대상을 수치적으로 접근하기 위해서는 연속성을 가정한 불연속적인 격자를 생성하는 과정이 반드시 필요하며, 연속성을 지닌 자료로부터 이산적인 자료를 얻어 내삽과정을 통해 격자점에 할당하게 된다. 모의준비 과정뿐만 아니라 모의 결과의 활용과정에서도 내삽이 필요할 수 있다. 따라서, 본 연구에서는 trend-surfaces법, 역거리 가중치법, spline법 등 기존에 알려진 공간자료 보간법들을 지형 자료 또는 지하수위 자료 등의 2차원 공간 자료에 적용하여 비교, 분석하며, 보다 효과적인 내삽기술에 대해서 알아보고자 한다.

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Evaluating the Accuracy of Spatial Interpolators for Estimating Land Price (지가 추정을 위한 공간내삽법의 정확성 평가)

  • JUN, Byong-Woon
    • Journal of the Korean Association of Geographic Information Studies
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    • v.20 no.3
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    • pp.125-140
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    • 2017
  • Until recently, regression based spatial interpolation methods and Kriging based spatial interpolation methods have been largely used to estimate land price or housing price, but less attention has been paid on comparing the performance of these spatial interpolation methods. In this regard, this research applied regression based spatial interpolators and Kriging based spatial interpolators for estimating the land prices in Dalseo-gu, Daegu metropolitan city and evaluated the accuracy of eight spatial interpolators. OLS, SLM, SEM, and GWR were used as regression based spatial interpolators while SK, OK, UK, and CK were employed as Kriging based spatial interpolators. The global accuracy was statistically evaluated by RMSE, adjusted RMSE, and COD. The relative accuracy was visually compared by three-dimensional residual error map and scatterplot. Results from statistical and visual analyses indicate that GWR reflecting the spatial non-stationarity was a relatively more accurate spatial predictor to estimate land prices in the study area than SAR and Kriging based spatial interpolators considering the spatial dependence. The findings from this research will contribute to the secondary research into analyzing the urban spatial structure with land prices.

The Characteristics of Spatial Distribution of Rural Industrial Parks - Focused on Rural Industrial Parks Size - (농공단지의 공간적 분포 특성에 관한 연구 - 농공단지 규모를 중심으로 -)

  • Lim, Yu-Ra;An, Kwang-Il;Lim, Taek-Kyun;Jang, Seo-Yang
    • Journal of the Korean association of regional geographers
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    • v.16 no.1
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    • pp.48-58
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    • 2010
  • Currently, understanding the characters of Rural Industrial Parks' regional distribution is insufficient. Therefore, regional characters of the Rural Industrial Parks all over the country were studied through indications such as sales, worker-sales increase rate, worker increase rates. Portfolio analysis and IDW by using ArcView 3.2 were used as a method of analysis. As a result, most of the Rural Industrial Parks' size and size increase rate showed low figures. Respective regional analysis shows that there is an increase in the scale of the Kyungnam area using portfolio analysis, whereas the scale of Chonbuk is high using IDW. As a result, it shows that there is difference on the scale between Rural Industrial Parks when individual or Associated with peripheral. Therefore, not only do the Rural Industrial Parks need stimulation individually, but adjacent parks need to be supported and managed.

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