• 제목/요약/키워드: Interpolation function

검색결과 500건 처리시간 0.019초

Charted Depth Interpolation: Neuron Network Approaches

  • Chaojian, Shi
    • 한국항해항만학회:학술대회논문집
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    • 한국항해항만학회 2004년도 Asia Navigation Conference
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    • pp.37-44
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    • 2004
  • Continuous depth data are often required in applications of both onboard systems and maritime simulation. But data available are usually discrete and irregularly distributed. Based on the neuron network technique, methods of interpolation to the charted depth are suggested in this paper. Two algorithms based on Levenberg-Marquardt back-propaganda and radial-basis function networks are investigated respectively. A dynamic neuron network system is developed which satisfies both real time and mass processing applications. Using hyperbolic paraboloid and typical chart area, effectiveness of the algorithms is tested and error analysis presented. Special process in practical applications such as partition of lager areas, normalization and selection of depth contour data are also illustrated.

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Convexity preserving piecewise rational interpolation for planar curves

  • Sarfraz, Muhammad
    • 대한수학회보
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    • 제29권2호
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    • pp.193-200
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    • 1992
  • This paper uses a piecewise ratonal cubic interpolant to solve the problem of shape preserving interpolation for plane curves; scalar curves are also considered as a special case. The results derived here are actually the extensions of the convexity preserving results of Delbourgo and Gregory [Delbourgo and Gregory'85] who developed a $C^{1}$ shape preserving interpolation scheme for scalar curves using the same piecewise rational function. They derived the ocnstraints, on the shape parameters occuring in the rational function under discussion, to make the interpolant preserve the convex shape of the data. This paper begins with some preliminaries about the rational cubic interpolant. The constraints consistent with convex data, are derived in Sections 3. These constraints are dependent on the tangent vectors. The description of the tangent vectors, which are consistent and dependent on the given data, is made in Section 4. the convexity preserving results are explained with examples in Section 5.

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A boundary radial point interpolation method (BRPIM) for 2-D structural analyses

  • Gu, Y.T.;Liu, G.R.
    • Structural Engineering and Mechanics
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    • 제15권5호
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    • pp.535-550
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    • 2003
  • In this paper, a boundary-type meshfree method, the boundary radial point interpolation method (BRPIM), is presented for solving boundary value problems of two-dimensional solid mechanics. In the BRPIM, the boundary of a problem domain is represented by a set of properly scattered nodes. A technique is proposed to construct shape functions using radial functions as basis functions. The shape functions so formulated are proven to possess both delta function property and partitions of unity property. Boundary conditions can be easily implemented as in the conventional Boundary Element Method (BEM). The Boundary Integral Equation (BIE) for 2-D elastostatics is discretized using the radial basis point interpolation. Some important parameters on the performance of the BRPIM are investigated thoroughly. Validity and efficiency of the present BRPIM are demonstrated through a number of numerical examples.

AN INVERSE HOMOGENEOUS INTERPOLATION PROBLEM FOR V-ORTHOGONAL RATIONAL MATRIX FUNCTIONS

  • Kim, Jeon-Gook
    • 대한수학회지
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    • 제33권4호
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    • pp.717-734
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    • 1996
  • For a scalar rational function, the spectral data consisting of zeros and poles with their respective multiplicities uniquely determines the function up to a nonzero multiplicative factor. But due to the richness of the spectral structure of a rational matrix function, reconstruction of a rational matrix function from a given spectral data is not that simple.

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H.264 인트라 프레임에서 방해함수를 이용한 적응적 보간 (Adaptive Interpolation for Intra Frames in H.264 Using Interference Function)

  • 박미선;유재명;;김지수;손화정;이귀상
    • 한국콘텐츠학회논문지
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    • 제6권10호
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    • pp.107-113
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    • 2006
  • H.264의 인트라 프레임 에러복원기법은 상하좌우 인접한 블록의 픽셀을 사용하여 거리의 가중치 평균값으로 손실된 블록을 복원한다. H.264의 인트라 프레임 에러복원기법은 주변블록 픽셀의 간단한 평균값을 이용하여 복원하므로 심각한 블러링 현상이 발생하고 화질 저하의 문제를 야기한다. 이를 개선하기 위하여 본 논문에서는 주변블록의 픽셀 정보를 이용하여 손실된 블록의 주된 에지 방향을 추정하고, 통계값을 이용한 방해함수의 결과 값으로 에지 방향 기반의 보간법과 가중치 평균 보간법을 적응적으로 선택하여 복원하는 방법을 제안한다. 에지방향 기반의 보간법에서는 선택된 주된 에지방향과 상하좌우 각각의 주변블록의 에지방향들 간의 상호관계를 고려함으로써 최종적으로 최적 에지 방향을 선택하여 성능을 향상시킨다. 제안된 방법은 영상에 따라 H.264 에러복원기법보다 객관적인 화질이 $0.5{\sim}2.0dB$ 정도의 PSNR 향상을 보였다.

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전자파 수치 해석을 위해 갤러킨 기법과 보간법을 혼용하여 개선시킨 모멘트법 (Improved Method of Moments Using Hybrid Technique of Galerkin's and Interpolation Methods for Numerical Analysis of Electromagnetic Waves)

  • 황지환;권순구;오이석
    • 한국전자파학회논문지
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    • 제23권4호
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    • pp.541-550
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    • 2012
  • 본 논문에서는 3차원 공간의 전자파 수치 해석을 위한 모멘트법(method of moments)의 개선된 해석 기법을 선보인다. 전자파 산란 특성을 해석하기 위해 기본적으로 EFIE(Electric Field Integral Equation)와 RWG(Rao-Wilton-Glisson) 기저 함수를 이용하였으며, 계산 효율을 높이기 위해 기존의 갤러킨(Galerkin) 기법과 중심점 보간(interpolation)법을 혼용하여 해석 시간을 단축시켰다. 이때, 계산 정확도 유지를 위해 임피던스 행렬의 각 원소간 거리를 상대 거리 지수로 정의하여 보간법 적용이 가능한 먼 거리 원소를 구분하였다. 제안된 해석 기법의 성능 검증은 금속구의 Mie-series 해법을 이용한 이론적 RCS(Radar Cross Section)를 비교/분석하였다. 또한, 본 연구 결과를 삼면-/전방향- 전파반사기와 같은 산란체에 적용하여 레이더 후방 산란 특성을 분석하였다.

보간기법에 따른 해저지형의 정확도 분석 (An Analysis of Accuracy for Submarine Topographic Information by Interpolation Method)

  • 김가야;문두열;서동주
    • 한국해양공학회지
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    • 제20권3호
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    • pp.67-76
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    • 2006
  • Three-dimensional information of submarine topography was acquired by assembling DGPS and Echo Sounder, which is mainly used in the marine survey. However, the features of submarine topography, derived according to mechanical data, were confirmed using human eyes. Because the dredging capacity using a submarine surveying data influences harbor public affairs, analysis and the process method of surveying data is a very special element in construction costs. In this study, information on submarine topography is acquired by assembling DGPS and Echo Sounder. Moreover, the dredging capacity in harbor public affairs has been analyzed by the interpolation method: inverse distance to a power, kriging, minimum curvature, nearest neighbor, and radial basis function. Also, utilization of DGPS and Echo Sounder method in calculation of the dredging capacity have been confirmed by comparing and analyzing the dredging capacity and the actual one, as per each interpolation. According to this comparison result, in the case of applying Radial basis function interpolation and Kriging, 3.94 % and 4.61 % of error rates have been shown, respectively. In the case of the study for application of the proper interpolation, as per characteristics of submarine topography, is preceded in calculation of the dredging capacity relevant to harbor public affairs, it is expected that more speedy and correct calculation for the dredging capacity can be made.

3축 CNC 교육용 공작기계 개발 (Developed 3-axis Educational CNC Machine Tool)

  • 장성욱
    • 한국산업융합학회 논문집
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    • 제22권6호
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    • pp.627-635
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    • 2019
  • In this study, we developed for processing complex features using CAM software that satisfies precision for example practice and related qualification tests suiTable for CNC training purposes. In addition, functions such as location control, speed control, and processing path generation, which are the main functions of CNC machining machines, were constructed using small equipment parts, servo motors, inverters, general purpose PCs, and commercial NC software and researched with the goal of developing low-cost education equipment. In the static accuracy inspection, the degree of machine when measuring the parallelism of the X, Y and Z axes and the vibration of the main shaft did not reach the allowable value. However, we have obtained a finished product that satisfies the CNC machine book sample shape machining, detailed functions of the position control function of the CNC machine tool, linear interpolation function, circular interpolation function, and tool offset function. In the qualification test shape processing, a shape with a degree of 1/100 mm was processed to obtain position accuracy that satisfied the tolerance.

UAV와 Echo Sounder 취득 자료의 비교를 통한 저수지 하상의 공간 보간별 정확도 분석 (Analysis of Precision of Interpolation of Reservoir bed Through Comparison of Data Acquired by Using UAV and Echo Sounder)

  • 노태호
    • 한국지리정보학회지
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    • 제23권3호
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    • pp.85-99
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    • 2020
  • 흐르는 물을 저장하여 공업, 농업, 상수도, 수력발전 등의 다양한 이용과 관광자원으로도 활용할 수 있는 저수지는 중요한 사회기반시설중의 하나이다. 그러므로 저수지의 유지관리는 행정 및 기술적 방안들을 동원하여 관리주체별로 정기적으로 수행되며, 저수지의 유지관리를 위해서는 저수지 하상 파악이 우선적이다. 이를 위하여 본 연구에서는 비교적 신뢰가 높은 Echo sounder를 이용한 방류전의 저수지 수심 측량과 방류후의 저수지 지형 측량을 UAV에 의하여 실시하였다. 그리고 수심 측량 자료를 Inverse Distance Weighting 보간, Kriging 보간, Minimum curvature 보간, Radial basis function 보간 등의 공간 보간별로 저수지의 내용적을 산출하여 UAV에 의한 방류 후 내용적 및 단면적을 비교 분석함으로 다음과 같은 결과를 알 수 있었다. 첫째, UAV에 의한 지형 자료와 Echo sounder에 의한 수심 자료를 공간 보간 기법별 적용 결과 Kriging 보간이 약 97%의 저수지 내용적 정확도를 확인 할 수 있었다. 둘째, 저수지 하상의 형상 비교를 위하여 검토 단면 설정 후 지형 선형과 보간별 선형의 상이 면적차를 비교한 결과 Kriging 보간이 최소 단면적 차이를 보임으로 지형 선형과의 가장 유사 형상임을 알 수 있었다. 따라서 Echo sounder에 의해 취득된 수심 자료로 저수지 하상의 최적 모델링 구축시 저수지의 효율적 유지관리에 기초적 자료 제공이 가능하리라 판단된다.

Electrocardiogram Signal Compression with Reconstruction via Radial Basis Function Interpolation Based on the Vertex

  • Ryu, Chunha;Kim, Tae-Hun;Kim, Jungjoon;Choi, Byung-Jae;Park, Kil-Houm
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제13권1호
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    • pp.31-38
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    • 2013
  • Patients with heart disease need long-term monitoring of the electrocardiogram (ECG) signal using a portable electrocardiograph. This trend requires the miniaturization of data storage and faster transmission to medical doctors for diagnosis. The ECG signal needs to be utilized for efficient storage, processing and transmission, and its data must contain the important components for diagnosis, such as the P wave, QRS-complex, and T wave. In this study, we select the vertex which has a larger curvature value than the threshold value for compression. Then, we reconstruct the compressed signal using by radial basis function interpolation. This technique guarantees a lower percentage of root mean square difference with respect to the extracted sample points and preserves all the important features of the ECG signal. Its effectiveness has been demonstrated in the experiment using the Massachusetts Institute of Technology and Boston's Beth Israel Hospital arrhythmia database.