• Title/Summary/Keyword: Linear Interpolation

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CONVEXITY CONTROL AND APPROXIMATION PROPERTIES OF INTERPOLATING CURVES

  • Qi, Duan;Chen, Tzer-Shyong;Djdjeli, K.;Price, W.G.;Twizell, E.H.
    • Journal of applied mathematics & informatics
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    • v.7 no.2
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    • pp.517-525
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    • 2000
  • A constrained rational cubic spline with linear denominator was constructed in [1]. In the present paper, the sufficient condition for convex interpolation and some properties in error estimation are given.

In-phase Statistical Edge Directed Interpolation based on Windowed MMSE Estimation (MMSE관점에서 위상 정합 방향성 경계 강조 보간법)

  • 임태환;김재호
    • Proceedings of the IEEK Conference
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    • 2000.11d
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    • pp.93-96
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    • 2000
  • In this paper, we present an improved novel interpolator that performs high quality interpolation on both synthetic and real world images. Its structure, which is based on a four directional linear predictor with equiripple windowed samples and phase matching equalizer, provides edge-directional data interpolation so that sharp and artifacts-free images are obtained at a reasonable computational cost.

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Generation of 3D Sign Language Animation Using Spline Interpolation (스플라인 보간법을 이용한 3차원 수화 애니메이션의 생성)

  • ;吳芝英
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.931-934
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    • 1998
  • We have implemented a sign language animation system using 2D and 3D models. From the previous studies, we find out that both models have several limitations based on the linear interpolation and fixed number of frames, and they result in incorrectness of actions and unnatural movements. To solve the problems, in this paper, we propose a sign language animation system using spline interpolation method and variable number of frames. Experimental results show that the proposed method could generate animation more correctly and rapidly than previous methods.

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Study on effect of control functions according to interpolations for elliptic grid generation method (해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구)

  • Chae E. M.;Sah J. Y.
    • Journal of computational fluids engineering
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    • v.1 no.1
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    • pp.9-18
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    • 1996
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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Study on effect of control functions according to interpolations for elliptic grid generation method (해석적 자동격자생성방법에서 보간방법에 따른 조절함수의 영향에 관한 연구)

  • Chae Eun-Mi;Sah Jong-Youb
    • 한국전산유체공학회:학술대회논문집
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    • 1995.10a
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    • pp.104-109
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    • 1995
  • This study examines effect of various interpolations of interior control function for analytic methods such as Thomas-Middlecoff and Sorenson methods. Laplace interpolation is developed and compared among linear interpolation and exponential interpolation systematically.

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Shape-based Interpolation Algorithm of CT Image (CT영상의 형태에 의한 보간 알고리즘)

  • 유선국;김원기
    • Journal of Biomedical Engineering Research
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    • v.11 no.1
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    • pp.71-74
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    • 1990
  • In the medical modalities, three-dimensional objects must be reconstructed from the consecutive slices. but the slime separation is usually much greater than the pixel size within an individual slices. In this paper, an interpolation scheme for filling the spare between the shapes in two successive slices is developed. It minimizes the computation involvement in segmentation of 3-D reconst ructlon process as well as more accurately approximates the object than the linear interpolation method.

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2D Image Interpolation using Fuzzy Inference (퍼지 추론을 사용한 2D 영상의 보간)

  • Kang, Keum-Boo;Choi, Jae-Ho;Yang, Woo-S.
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2785-2788
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    • 2001
  • In this paper, we present a new interpolation scheme for image enhancement using fuzzy inference. In general, interpolation techniques are based on linear operators which are essentially lowpass filters, hence, they tend to blur fine details in the original image. In our approach, the operator itself balances the strength of its sharpening and noise suppressing components according to the properties of the input image data.

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Interpolation Method for 3D Stereo Images Transmitted by Frame-Compatible Packing Format (프레임 호환 패킹 포맷으로 전송된 3D 스테레오 영상에 대한 내삽 방법)

  • Le, Anh Vu;Won, Chee-Sun
    • Journal of the Institute of Electronics Engineers of Korea SP
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    • v.48 no.6
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    • pp.61-67
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    • 2011
  • Stereoscopic 3D video can be transmitted by frame-compatible packing format to fulfill the compatibility requirement with the existing digital TV. Then, the reduced stereo image needs to be expanded to the original size at the receiver. This paper proposes an adaptive interpolation method for the discarded image lines. The horizontal line-based linear filter and NEDI6 filter are used selectively for the interpolation of each pixel. Experimental results show that the NEDI6 combined with the horizontal line-based linear filter yields better image quality than the bilinear method by around 0.6dB.

Visualization of 4-Dimensional Scattered Data Linear Interpolation Based on Data Dependent Tetrahedrization (4차원 산포된 자료 선형 보간의 가시화 -자료 값을 고려한 사면체 분할법에 의한-)

  • Lee, Kun
    • The Transactions of the Korea Information Processing Society
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    • v.3 no.6
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    • pp.1553-1567
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    • 1996
  • The numerous applications surface interpolation include the modeling and visualization phenomena. A tetrahedrization is one of pre-processing steps for 4-D space interpolation. The quality of a piecewise linear interpolation 4-D space depends not only on the distribution of the data points in $R^2$, but also on the data values. We show that the quality of approximation can be improved by data dependent tetraheadrization through visualization of 4-D space. This paper discusses Delaunary tetrahedrization method(sphere criterion) and one of the data dependent tetrahedrization methods(least squares fitting criterion). This paper also discusses new data dependent criteria:1) gradient difference, and 2) jump in normal direction derivative.

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