• 제목/요약/키워드: Interpolation function

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A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order

  • Araci, Serkan;Acikgoz, Mehmet;Seo, Jong Jin
    • Kyungpook Mathematical Journal
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    • 제54권1호
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    • pp.131-141
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    • 2014
  • In the present paper, we introduce the new generalization of q-Genocchi polynomials and numbers of higher order. Also, we give some interesting identities. Finally, by applying q-Mellin transformation to the generating function for q-Genocchi polynomials of higher order put we define novel q-Hurwitz-Zeta type function which is an interpolation for this polynomials at negative integers.

사실적인 3D 얼굴 모델링 시스템 (Realistic individual 3D face modeling)

  • 김상훈
    • 한국전자통신학회논문지
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    • 제8권8호
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    • pp.1187-1193
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    • 2013
  • 본 논문은 사실적인 3D 얼굴 모델링과 얼굴 표정 생성 시스템을 제안한다. 사실적인 3D 얼굴 모델링 기법에서 개별적인 3D 얼굴 모양과 텍스쳐 맵을 만들기 위해 Generic Model Fitting 기법을 적용하였다. Generic Model Fitting에서 Deformation Function을 계산하기 위해 개별적인 얼굴과 Generic Model 사이의 대응점을 결정하였다. 그 후, Calibrated Stereo Camera로부터 캡쳐 된 영상들로부터 특징점을 3D로 복원하였다. 텍스쳐 매핑을 위해 Fitted된 Generic Model을 영상으로 Projection하였고 사전에 정의된 Triangle Mesh에서 텍스쳐를 Generic Model에 매핑 하였다. 잘못된 텍스쳐 매핑을 방지하기 위해, Modified Interpolation Function을 사용한 간단한 방법을 제안하였다. 3D 얼굴 표정을 생성하기 위해 Vector Muscle기반 알고리즘을 사용하고, 보다 사실적인 표정 생성을 위해 Deformation 과 vector muscle 기반의 턱 rotation을 적용하였다.

정현파 음성-오디오 모델의 빠른 하모닉 합성 방법 (Fast Harmonic Synthesis Method for Sinusoidal Speech-Audio Model)

  • 김규진;김종학;정규혁;이인성
    • 대한전자공학회논문지SP
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    • 제44권4호통권316호
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    • pp.109-116
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    • 2007
  • 대부분의 2차 및 3차 위상 보간을 사용하는 하모닉 합성 방법은 각각의 정현파 성분에 대해 샘플단위로 합성되기 때문에 구현하는데 있어 많은 연산량이 요구된다. 본 논문에서는 이러한 문제를 해결하기 위해 2차 및 3차 위상 항을 가지는 정현파 음성 및 오디오 모델을 위한 빠른 하모닉 합성 방법을 제안한다. 제안하는 빠른 하모닉 합성 방법은 2차 및 3차 위상함수의 계수를 하모닉과 독립적으로 강요함으로써 오버 샘플링 함수와 위상 변조 함수를 정의하고, Inverse Fast Fourier Transform(IFFT)을 이용한 합성식을 유도한다. 제안한 빠른 하모닉 합성 방법은 연산량과 Segment SNR(Segment Signal-to-Noise Ratio)을 코사인 함수를 이용한 합성 방법과의 비교를 통해 음질의 저하없이 연산량이 현저히 줄어드는 것을 확인할 수 있었다.

스프링 설계문제의 신뢰도 해석을 위한 크리깅 기반 차원감소법의 활용 (Kriging Dimension Reduction Method for Reliability Analysis in Spring Design)

  • 강진혁;안다운;원준호;최주호
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2008년도 정기 학술대회
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    • pp.422-427
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    • 2008
  • This study is to illustrate the usefulness of Kriging Dimension Reduction Method(KDRM), which is to construct probability distribution of response function in the presence of the physical uncertainty of input variables. DRM has recently received increased attention due to its sensitivity-free nature and efficiency that considerable accuracy is obtained with only a few number of analyses. However, the DRM has a number of drawbacks such as instability and inaccuracy for functions with increased nonlinearity. As a remedy, Kriging interpolation technique is incorporated which is known as more accurate for nonlinear functions. The KDRM is applied and compared with MCS methods in a compression coil spring design problem. The effectiveness and accuracy of this method is verified.

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적응적 세분화 방법을 이용한 무요소법의 응력 해석에 관한 연구 (A Study on the Adaptive Refinement Method for the Stress Analysis of the Meshfree Method)

  • 한상을;강노원;주정식
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2008년도 정기 학술대회
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    • pp.8-13
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    • 2008
  • In this study, an adaptive node generation procedure in the radial point interpolation method is proposed. Since we set the initial configuration of nodes by subdivision of background cell, abrupt changes of inter-nodal distance between higher and lower error regions are unavoidable. This unpreferable nodal spacing induces additional errors. To obtain the smoothy nodal configuration, it's regenerated by local Delaunay triangulation algorithm This technique was originally developed to generate a set of well-shaped triangles and tetrahedra. To demonstrate the performance of proposed scheme, the results of making optimal nodal configuration with adaptive refinement method are investigated for stress concentration problems.

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全球의 潛在的 森林面積을 推定하기 위한 植生圖 製作시스템 開發 (Development of Global Natural Vegetation Mapping System for Estimating Potential Forest Area)

  • Cha, Gyung Soo
    • The Korean Journal of Ecology
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    • 제19권5호
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    • pp.403-416
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    • 1996
  • Global natural vegetation mapping (GNVM) system was developed for estimating potential forest area of the globe. With input of monthly mean temperature and monthly precipitation observed at weather stations, the system spherically interpolates them into 1°×1°grid points on a blobe, converts them into vegetation types, and produces a potential vegetation map and a potenital vegetation area. The spherical interpolation was based on negative exponential function fed from the constant radius stations with oval weighing method which is latitudinally elongated weighing in temperature and longitudinally elongated weighing in precipitation. The temperature values were corrected for altitude by applying a linear lapse-rate (0.65℃ / 100m) with reference to a built-in digital terrain map of the globe. The vegetation classification was based upon Koppen’s sKDICe. The potential forest area is estimated for 6.96 Gha (46.24%) of the global land area (15.05 Gha).

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Continuous Location Tracking Algorithm for Moving Position Data

  • Ahn, Yoon-Ae
    • Journal of the Korean Data and Information Science Society
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    • 제19권3호
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    • pp.979-994
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    • 2008
  • Moving objects are spatio-temporal data that change their location or shape continuously over time. Generally, if continuously moving objects are managed by a conventional database management system, the system cannot properly process the past and future location which is not stored in the database. Up to now, for the purpose of location tracking which is not stored, the linear interpolation to estimate the past location has been usually used. It is suitable for the moving objects on linear route, not curved route. In this paper, we propose a past location tracking algorithm for a moving object on curved routes, and also suggest a future location tracking algorithm using some past location information. We found that the proposed location tracking algorithm has higher accuracy than the linear interpolation function.

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고분자 유동의 3차원 해석을 위한 새로운 검사 체적 유한 요소법 (A New Control Volume Finite Element Method for Three Dimensional Analysis of Polymer Flow)

  • 이석원;윤재륜
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2003년도 춘계학술대회논문집
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    • pp.461-464
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    • 2003
  • A new control volume finite element method is proposed for three dimensional analysis of polymer flow. Tetrahedral finite element is employed and co-located interpolation procedure for pressure and velocity is implemented. Inclusion of pressure gradient term in the velocity shape functions prevents the checkerboard pressure field from being developed. Vectorial nature of pressure gradient is considered in the velocity shape function so that velocity profile in the limit of very small Reynolds number becomes physically meaningful. The proposed method was verified through three dimensional simulation of pipe flow problem for Newtonian and power-law fluid. Calculated pressure and velocity field showed an excellent agreement with analytic solutions for pressure and velocity. Driven-cavity problem, which is reported to yield checkerboard pressure filed when conventional finite element method is applied, could be solved without yielding checkerboard pressure field when the proposed control volume finite element method was applied. The proposed method could be successfully applied to the three dimensional mold filling problem.

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신경회로적인 전력조류 계산법에 대한 연구 (Load Flow Calculation by Neural Networks)

  • 김재주;박영문
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1991년도 하계학술대회 논문집
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    • pp.329-332
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    • 1991
  • This paper presents an algorithm to reduce the time to solve Power Equations using a Neural Net. The Neural Net is trained with samples obtained through the conventional AC Load Flow. With these samples, the Neural Net is constructed and has the function of a linear interpolation network. Given arbitrary load level, this Neural Net generates voltage magnitudes and angles which are linear interpolation of real and reactive powers. Obtained voltage magnitudes and angles are substituted to Power Equations, Real and reactive powers are found. Thus, a new sample is generated. This new experience modifies weight matrix. Continuing to modify the weight matrix, the correct solution is achieved. comparing this method with AC Load flow, this method is faster. If we consider parallel processing, this method is far faster than conventional ones.

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Decoupling Controller Design for H Performance Condition

  • Park, Tae-Dong;Choi, Goon-Ho;Cho, Yong-Seok;Park, Ki-Heon
    • Journal of Electrical Engineering and Technology
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    • 제6권6호
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    • pp.874-882
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    • 2011
  • The decoupling design for the one-degree-of-freedom controller system is treated within the $H_{\infty}$ framework. In the present study, we demonstrate that the $H_{\infty}$ performance problem in the decoupling design is reduced into interpolation problems on scalar functions. To guarantee the properness of decoupling controllers and the overall transfer matrix, the relative degree conditions on the interpolating scalar functions are derived. To find the interpolating functions with relative degree constraints, Nevanlinna-Pick algorithm with starting function constraint is utilized in the present study. An illustrative example is given to provide details regarding the solution.