• 제목/요약/키워드: inverse distance method

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역거리법의 최적 거리 지수 (Optimal distance exponent of inverse distance method)

  • 유주환
    • 한국수자원학회논문집
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    • 제51권5호
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    • pp.451-459
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    • 2018
  • 역거리법에 포함된 지수 값을 제곱으로 고정하지 않고 변수로 취급하여 강수량 자료를 바탕으로 지수 값의 최적치를 산출하였다. 이를 위해서 한강 상류부, 한강 하류부, 금강 상류부, 낙동강 중류부 등 4개 Group으로 나누고 각 Group 내 7개 관측소에 대하여 총 52개의 Case를 분석하였다. 각 Group에서 기준 관측소 1개와 주변관측소 4개를 조합한 Case별로 거리 지수 값의 최적치를 구하였다. 이 최적치를 산출하기 위해서 황금비 분할조사법을 적용하였고 강수 자료는 10년(2004~2013년) 간의 시우량 자료를 사용하였다. 이와 같이 구한 최적치를 최근 3년(2014~2016년) 간에 대하여 검증하였다. 본 연구에서 구한 최적의 거리 지수 값은 4개 Group에서 평균적으로 각각 3.280, 1.839, 2.181, 2.005로 나타났고 전체 평균하면 2.326이었다. 그리고 최적의 지수 값을 적용한 역거리법은 지수 값을 제곱으로 한 기존 역거리법과 비교하여 우수함을 보였다.

표준기상데이터 작성 시 누락된 풍속 데이터의 보간 방법 제안 (A Proposal of an Interpolation Method of Missing Wind Velocity Data in Writing a Typical Weather Data)

  • 박소우;김주욱;송두삼
    • 한국태양에너지학회 논문집
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    • 제37권6호
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    • pp.79-91
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    • 2017
  • The meteorological data of 1 hour interval are required to write a typical weather data for building energy simulation. However, many meterological data are missing and the interpolation method to recover the missing data is required. Especially, lots of meterological data are replicated by linear interpolation method because the changes are not significant. While, the wind velocity fluctuates with the time or locations, so linear interpolation method is not appropriate in interpolation of the wind velocity data. In this study, three interpolation methods, using surrounding wind velocity data, Inverse Distance Weighting (IDW), Revised Inverse Distance Weighting (IDW-r), were analyzed considering the characteristics of wind velocity. The Revised Inverse Distance Weighting method, proposed in this study, showed the highest reliability in restoration of the wind velocity data among the analyzed methods.

Progress Report of the Hubble Constant Determination based on the TRGB Method

  • Jang, In Sung;Lee, Myung Gyoon
    • 천문학회보
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    • 제40권1호
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    • pp.46.2-46.2
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    • 2015
  • Modern methods in determining the value of the Hubble constant are divided into two main ways: the classical distance ladder method and the inverse distance ladder method. The classical distance ladder method is based on Cepheid calibrated Type Ia supernovae (SNe Ia), which are known as powerful distance indicator. The inverse distance ladder method uses cosmic microwave background radiation, which emitted from the high-z universe, and the cosmological model. Recent estimations of the Hubble constant based on these two methods show a $2{\sim}3{\sigma}$ difference, which called the "Hubble tension". It is currently an issue in the modern cosmology. We have been working on the luminosity calibration of SNe Ia based on the Tip of the Red Giant Branch (TRGB), which is a precise population I distance indicator. We present the TRGB distance estimates of 5 SNe Ia host galaxies with the archival Hubble Space Telescope image data. We derive the mean absolute maximum magnitude of 5 SNe Ia and the value of the Hubble constant. Cosmological implications of our estimate will be discussed.

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Modeling the Natural Occurrence of Selected Dipterocarp Genera in Sarawak, Borneo

  • Teo, Stephen;Phua, Mui-How
    • Journal of Forest and Environmental Science
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    • 제28권3호
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    • pp.170-178
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    • 2012
  • Dipterocarps or Dipterocarpaceae is a commercially important timber producing and dominant keystone tree family in the rain forests of Borneo. Borneo's landscape is changing at an unprecedented rate in recent years which affects this important biodiversity. This paper attempts to model the natural occurrence (distribution including those areas with natural forests before being converted to other land uses as opposed to current distribution) of dipterocarp species in Sarawak which is important for forest biodiversity conservation and management. Local modeling method of Inverse Distance Weighting was compared with commonly used statistical method (Binary Logistic Regression) to build the best natural distribution models for three genera (12 species) of dipterocarps. Database of species occurrence data and pseudoabsence data were constructed and divided into two halves for model building and validation. For logistic regression modeling, climatic, topographical and edaphic parameters were used. Proxy variables were used to represent the parameters which were highly (p>0.75) correlated to avoid over-fitting. The results show that Inverse Distance Weighting produced the best and consistent prediction with an average accuracy of over 80%. This study demonstrates that local interpolation method can be used for the modeling of natural distribution of dipterocarp species. The Inverse Distance Weighted was proven a better method and the possible reasons are discussed.

New Calibration Methods with Asymmetric Data

  • Kim, Sung-Su
    • 응용통계연구
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    • 제23권4호
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    • pp.759-765
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    • 2010
  • In this paper, two new inverse regression methods are introduced. One is a distance based method, and the other is a likelihood based method. While a model is fitted by minimizing the sum of squared prediction errors of y's and x's in the classical and inverse methods, respectively. In the new distance based method, we simultaneously minimize the sum of both squared prediction errors. In the likelihood based method, we propose an inverse regression with Arnold-Beaver Skew Normal(ABSN) error distribution. Using the cross validation method with an asymmetric real data set, two new and two existing methods are studied based on the relative prediction bias(RBP) criteria.

Development of a Virtual Reference Station-based Correction Generation Technique Using Enhanced Inverse Distance Weighting

  • Tae, Hyunu;Kim, Hye-In;Park, Kwan-Dong
    • Journal of Positioning, Navigation, and Timing
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    • 제4권2호
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    • pp.79-85
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    • 2015
  • Existing Differential GPS (DGPS) pseudorange correction (PRC) generation techniques based on a virtual reference station cannot effectively assign a weighting factor if the baseline distance between a user and a reference station is not long enough. In this study, a virtual reference station DGPS PRC generation technique was developed based on an enhanced inverse distance weighting method using an exponential function that can maximize a small baseline distance difference due to the dense arrangement of DGPS reference stations in South Korea, and its positioning performance was validated. For the performance verification, the performance of the model developed in this study (EIDW) was compared with those of typical inverse distance weighting (IDW), first- and second-order multiple linear regression analyses (Planar 1 and 2), the model of Abousalem (1996) (Ab_EXP), and the model of Kim (2013) (Kim_EXP). The model developed in the present study had a horizontal accuracy of 53 cm, and the positioning based on the second-order multiple linear regression analysis that showed the highest positioning accuracy among the existing models had a horizontal accuracy of 51 cm, indicating that they have similar levels of performance. Also, when positioning was performed using five reference stations, the horizontal accuracy of the developed model improved by 8 ~ 42% compared to those of the existing models. In particular, the bias was improved by up to 27 cm.

Inverse Offset Method for Adaptive Cutter Path Generation from Point-based Surface

  • Kayal, Prasenjit
    • International Journal of CAD/CAM
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    • 제7권1호
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    • pp.21-30
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    • 2007
  • The inverse offset method (IOM) is widely used for generating cutter paths from the point-based surface where the surface is characterised by a set of surface points rather than parametric polynomial surface equations. In the IOM, cutter path planning is carried out by specifying the grid sizes, called the step-forward and step-interval distances respectively in the forward and transverse cutting directions. The step-forward distance causes the chordal deviation and the step-forward distance produces the cusp. The chordal deviation and cusp are also functions of local surface slopes and curvatures. As the slopes and curvatures vary over the surface, different step-forward and step-interval distances are appropriate in different areas for obtaining the machined surface accurately and efficiently. In this paper, the chordal deviation and cusp height are calculated in consideration with the surface slopes and curvatures, and their combined effect is used to estimate the machined surface error. An adaptive grid generation algorithm is proposed, which enables the IOM to generate cutter paths adaptively using different step-forward and step-interval distances in different regions rather than constant step-forward and step-interval distances for entire surface.

다양한 예측기법을 이용한 현장타설말뚝의 최적길이 산정 (Estimation of Optimum Pile length Using Various Prediction)

  • 최영석;임형준;송명준;장학성
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 추계 학술발표회
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    • pp.700-707
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    • 2008
  • As plan connecting island to island or island to land is needed, a lot of long-span bridge is being designed lately in Southern part of Korea. With development of pile equipment, overhanging large-scaled concrete pile are adopted to foundation type of main tower or pylon. About the number of 15~30 group piles per tower foundation is designed to resist long-spaning super-structure load, but by restricted condition of site investigation cost, a few boring-hole tests are performed to identify sub-ground layers. Up to now, direct-curved method connecting two or three known boring logs and representative interval method are usually used to evaluate unknown depth and rock properties at locations where piles are constructed. Because this approach is not logical and so rough, much difference occurs between designed length of piles and real length of it. In this paper, using a lot of various prediction method(reciprocal distance method, inverse square distance method and kriging method etc.), we suggest optimum length of group piles.

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인천 송도지역 지층분포 추정을 위한 크리깅과 역거리가중치법의 적용 (Application of Kriging and Inverse Distance Weighting Method for the Estimation of Geo-Layer of Songdo Area in Incheon)

  • 김동휘;류동우;최영민;이우진
    • 한국지반공학회논문집
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    • 제26권1호
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    • pp.5-19
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    • 2010
  • 매립지반의 지층분포는 터파기 공사 시 지층파악, 말뚝 지지층 심도 예측, 잔류 침하량 예측 등에 직접적으로 사용되는 중요한 정보이다. 이러한 지층분포는 기존의 지반조사자료를 이용하여 지구통계학적 방법인 크리깅과 이격거리에 따라 가중치를 부여하는 역거리가중치법 등을 사용하여 추정할 수 있다. 본 논문에서는 크리깅과 역거리가중치법의 추정결과의 신뢰성을 교차검증한 후 각각의 방법에서 사용되는 적정한 베리오그램 모델과 $\alpha$ 값을 제시하였다. 크리깅에서는 실험적 베리오그램에 가장 적합한 이론적 베리오그램 모델이 반드시 가장 신뢰성 높은 추정결과를 주지 않는다는 것을 알 수 있었다. 역거리가중치법에서는 지층의 형성과정에 따라 적정 $\alpha$ 값이 다르며, 풍화토가 매립층과 퇴적층보다 큰 $\alpha$ 값을 사용할 경우 신뢰성 높은 결과를 얻을 수 있었다. 크리깅의 추정결과가 역거리가중치법에 비하여 신뢰성이 높은 것으로 나타났으며, 크리깅은 베리오그램을 이용하여 지층분포의 구조를 파악할 수 있었다.

고해상도 수치예측자료 생산을 위한 경도-역거리 제곱법(GIDS) 기반의 공간 규모 상세화 기법 활용 (Implementation of Spatial Downscaling Method Based on Gradient and Inverse Distance Squared (GIDS) for High-Resolution Numerical Weather Prediction Data)

  • 양아련;오수빈;김주완;이승우;김춘지;박수현
    • 대기
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    • 제31권2호
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    • pp.185-198
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    • 2021
  • In this study, we examined a spatial downscaling method based on Gradient and Inverse Distance Squared (GIDS) weighting to produce high-resolution grid data from a numerical weather prediction model over Korean Peninsula with complex terrain. The GIDS is a simple and effective geostatistical downscaling method using horizontal distance gradients and an elevation. The predicted meteorological variables (e.g., temperature and 3-hr accumulated rainfall amount) from the Limited-area ENsemble prediction System (LENS; horizontal grid spacing of 3 km) are used for the GIDS to produce a higher horizontal resolution (1.5 km) data set. The obtained results were compared to those from the bilinear interpolation. The GIDS effectively produced high-resolution gridded data for temperature with the continuous spatial distribution and high dependence on topography. The results showed a better agreement with the observation by increasing a searching radius from 10 to 30 km. However, the GIDS showed relatively lower performance for the precipitation variable. Although the GIDS has a significant efficiency in producing a higher resolution gridded temperature data, it requires further study to be applied for rainfall events.