• Title/Summary/Keyword: Property Interpolation

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Space-Variant B-Spline Functions for Image Interpolation (영상보간을 위한 공간변화(Space-Variant) B-Splin 함수)

  • 이병길;김순자;하영호
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.4
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    • pp.394-401
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    • 1991
  • B-spline function is generally used for an image interpolation because of its smoothness and continuity, but it accompanies a large amount of blurring effect. In this paper, a space-variant B-spline interpolation function is proposed through deblurring process followed by de-aliasing process. The proposed function has parametric expression and performs smoothing and edge-enhancement adaptively in the interpolation process according to local property of the image. Application of this function to image enlargement, rotation, and curve representation producted good results. Even in the presence of noise, noise smoothing effect as well as edge-enhancement were observed in the image interpolation process.

Non-linear Interpolation for Color Images

  • Kim, Jong-Ho;Kim, Won-Ki;Yeom, Dong-Hyun;Jeong, Je-Chang
    • 한국정보디스플레이학회:학술대회논문집
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    • 2006.08a
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    • pp.1326-1329
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    • 2006
  • In this paper, we propose a non-linear interpolation of chrominance components based on the property of luminance signals to display color images effectively. The proposed method is more useful, in particular, for the images including stair-typed signal changes around edges. Experimental results show that the proposed method is superior to conventional methods in both objective and subjective performance.

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A Group Key Management Scheme for WSN Based on Lagrange Interpolation Polynomial Characteristic

  • Wang, Xiaogang;Shi, Weiren;Liu, Dan
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.13 no.7
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    • pp.3690-3713
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    • 2019
  • According to the main group key management schemes logical key hierarchy (LKH), exclusion basis systems (EBS) and other group key schemes are limited in network structure, collusion attack, high energy consumption, and the single point of failure, this paper presents a group key management scheme for wireless sensor networks based on Lagrange interpolation polynomial characteristic (AGKMS). That Chinese remainder theorem is turned into a Lagrange interpolation polynomial based on the function property of Chinese remainder theorem firstly. And then the base station (BS) generates a Lagrange interpolation polynomial function f(x) and turns it to be a mix-function f(x)' based on the key information m(i) of node i. In the end, node i can obtain the group key K by receiving the message f(m(i))' from the cluster head node j. The analysis results of safety performance show that AGKMS has good network security, key independence, anti-capture, low storage cost, low computation cost, and good scalability.

The Effect of the Mass Matrix in the Eigenvalue Analysis of Curved Beam Elements (곡선보 요소의 고유치 해석에서 질량행렬의 영향)

  • Yu, Ha-Sang
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.2
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    • pp.288-296
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    • 1997
  • Curved beam elements with two nodes based on shallow beam geometry and strain interpolations are employed in eigenvalue analysis. In these elements, the displacement interpolation functions and mass matrices are consistent with strain fields. To assess the quality of the element mass matrix in free vibration problems, several numerical experiments are performed. In these analysis, both the inconsistent mass matrices using linear displacement interpolation function and the consistent mass matrices are used to show the difference. The numerical results demonstrate that the accuracy is closely related to the property of the mass matrix as well as that of the stiffness matrix and that the mass matrix consistent with strain fields is very beneficial to eigenvalue analysis. Also, it is proved that the strain based elements are very efficient in a wide range of element aspect ratios and curvature properties.

A Stress Analysis of Structural Element Using Meshfree Method(RPIM) (무요소법(RPIM)을 이용한 구조 요소의 응력해석)

  • Han, Sang-Eul;Lee, Sang-Ju;Joo, Jung-Sik
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2007.04a
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    • pp.495-500
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    • 2007
  • A Meshfree is a method used to establish algebraic equations of system for the whole problem domain without the use of a predefined mesh for the domain discretization. A point interpolation method is based on combining radial and polynomial basis functions. Involvement of radial basis functions overcomes possible singularity. Furthermore, the interpolation function passes through all scattered points in an influence domain and thus shape functions are of delta function property. This makes the implementation of essential boundary conditions much easier than the meshfree methods based on the moving least-squares approximation. This study aims to investigate a stress analysis of structural element between a meshfree method and the finite element method. Examples on cantilever type plate and stress concentration problems show that the accuracy and convergence rate of the meshfree methods are high.

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FIRST ORDER HERMITE INTERPOLATION WITH SPHERICAL PYTHAGOREAN-HODOGRAPH CURVES

  • Kim, Gwang-Il;Kong, Jae-Hoon;Lee, Sun-Hong
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.73-86
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    • 2007
  • The general stereographic projection which maps a point on a sphere with arbitrary radius to a point on a plane stereographically and its inverse projection have the pythagorean-hodograph (PH) preserving property in the sense that they map a PH curve to another PH curve. Upon this fact, for given spatial $C^1$ Hermite data, we construct a spatial PH curve on a sphere that is a $C^1$ Hermite interpolant of the given data as follows: First, we solve $C^1$ Hermite interpolation problem for the stereographically projected planar data of the given data in $\mathbb{R}^3$ with planar PH curves expressed in the complex representation. Second, we construct spherical PH curves which are interpolants for the given data in $\mathbb{R}^3$ using the inverse general stereographic projection.

Determining of Weighting Factor for Two-Point Interpolation Filters (2-점 보간법 필터에서의 가중치 결정)

  • Ha, Mi-Ryeong;Yoo, Hoon
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.18 no.3
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    • pp.706-712
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    • 2014
  • This paper describes a determining method of weighting factors for two-point interpolation filters. The interpolation filters is implemented by applying modifying functions to the linear interpolation. Here, there is a problem of determining weights when modifying functions being engaged. The previous method determined the weights by imposing c1-continuity on the interpolation kernels. However, this approach is unable to use the property of individual modifying functions. In this paper, on the basis of spectral analyses of the modifying functions and image signals, we provide a determination method by experimental results. Thus, many experiments are carried out to do so. The results indicate that different weights are required for different modifying functions and also the proposed method outperforms than the previous method.

Hybrid Super Resolution Based on Curve Subdivision Interpolation and Neighbor Embedding (곡선 부-분할 보간과 Neighbor Embedding 기반의 복합 초고해상도 기법)

  • Oh, Euiyeol;Lee, Yonggun;Lee, Jieun;Choe, Yoonsik
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.9
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    • pp.1369-1373
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    • 2015
  • Curve subdivision interpolation reconstructs edge well with low complexity, however it lacks of ability to recover texture components, instead. While, neighbor embedding is superior in texture reconstruction. Therefore, in this paper, a novel Super Resolution technique which combines curve subdivision interpolation and neighbor embedding is proposed. First, edge region and non-edge regions are classified. Then, for edge region, the curve subdivision algorithm is used to make two polynomials derived from discrete pixels and adaptive weights are adapted for gradients of 4 different sides to make smooth edge. For non edge region, neighbor-embedding method is used to conserve texture property in original image. Consequently results show that the proposed technique conserves sharp edges and details in texture better, simultaneously.

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

  • Hwang, Ji-Hwan;Kwon, Soon-Gu;Oh, Yi-Sok
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.23 no.4
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    • pp.541-550
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    • 2012
  • An improved method of moments using a hybrid Galerkin-interpolation technique for numerical analysis of electromagnetic wave scattering in the 3-dimensional space is presented in this paper. Basically, the EFIE(electric field integral equation) and RWG(Rao-Wilton-Glisson) basis function are used to compute a property of electromagnetic wave scattering. We propose a hybrid technique combining the existing Galerkin's method with the interpolation method to improve the efficiency of the numerical computation. Then, an index of relative distance of each cells was defined to distinguish the relatively far elements, which interpolation method can be applied. To verify the performance of the proposed technique, the analytical Mie-series solution was used to compute the theoretical RCS of a conducting sphere for the purpose of comparison. We also applied this hybrid technique to various scatterers such as trihedral/omni-directional corner-reflectors to analyze the radar backscattering properties.

Effective Motion Compensation Method of H.264 on Multimedia Mobile System (멀티미디어 모바일 시스템에서의 효율적인 H.264 움직임 보간법)

  • Jeong, Dae-Young;Ji, Shin-Haeng;Park, Jung-Wook;Kim, Shin-Dug
    • Journal of KIISE:Computer Systems and Theory
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    • v.34 no.10
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    • pp.467-473
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    • 2007
  • Power-aware design is one of the most important areas to be emphasized in multimedia mobile systems, in which data transfers dominate the power consumption. In this paper, we propose a new architecture for motion compensation (MC) of H.264/AVC with power reduction by decreasing the data transfers. For this purpose, a reconfigurable microarchitecture based on data type is proposed for interpolation and it is mapped onto the dedicated motion compensation IP (intellectual property) effectively without sacrificing the performance or the system latency. The original quarter-pel interpolation equation that consists of one or two half-pel interpolations and one averaging operation is designed to have different execution control modes, which result in decreasing memory accesses greatly and maintaining the system efficiency. The simulation result shows that the proposed method could reduce up to 87% of power consumption caused by data transfers over the conventional method in MC module.