• 제목/요약/키워드: interpolating

검색결과 298건 처리시간 0.026초

SYMMETRIC INTERPOLATING REFINABLE FUNCTION VECTORS

  • Kwon, Soon-Geol
    • Journal of applied mathematics & informatics
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    • 제25권1_2호
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    • pp.495-503
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    • 2007
  • Symmetric interpolating refinable function vectors with compact support are of interest in several applications such as signal processing, image processing and computer graphics. It is known in [13] that orthogonal interpolating refinable function vectors can not be symmetric for multiplicity r = 2 and dilation d = 2. In this paper, we shall investigate symmetric interpolating refinable function vectors with compact support for multiplicity r = 2 and dilation d = 2 by omitting orthogonality. To illustrate our theorems and results in this paper, we shall also present some examples of symmetric interpolating refinable function vectors with compact support and high order of sum rules.

Truncated Multi-index Sequences Have an Interpolating Measure

  • Choi, Hayoung;Yoo, Seonguk
    • Kyungpook Mathematical Journal
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    • 제62권1호
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    • pp.107-118
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    • 2022
  • In this note we observe that any truncated multi-index sequence has an interpolating measure supported in Euclidean space. It is well known that the consistency of a truncated moment sequence is equivalent to the existence of an interpolating measure for the sequence. When the moment matrix of a moment sequence is nonsingular, the sequence is naturally consistent; a proper perturbation to a given moment matrix enables us to confirm the existence of an interpolating measure for the moment sequence. We also illustrate how to find an explicit form of an interpolating measure for some cases.

APPROXIMATION AND BALANCING ORDERS FOR TOTALLY INTERPOLATING BIORTHOGONAL MULTIWAVELET SYSTEMS

  • Choi, Young-Woo;Jung, Jae-Won
    • 대한수학회보
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    • 제48권6호
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    • pp.1157-1167
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    • 2011
  • We consider totally interpolating biorthogonal multiwavelet systems with finite impulse response two-band multifilter banks, a study balancing order conditions of such systems. Based on FIR and interpolating properties, we show that approximation order condition is completely equivalent to balancing order condition. Consequently, a prefiltering can be avoided if a totally interpolating biorthogonal multiwavelet system satisfies suitable approximation order conditions. An example with approximation order 4 is provided to illustrate the result.

INFINITUDE OF MINIMALLY SUPPORTED TOTALLY INTERPOLATING BIORTHOGONAL MULTIWAVELET SYSTEMS WITH LOW APPROXIMATION ORDERS

  • Choi, Youngwoo;Jung, Jaewon
    • Korean Journal of Mathematics
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    • 제21권3호
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    • pp.247-263
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    • 2013
  • By analyzing one-parameter families of totally interpolating multiwavelet systems of minimal total length with low approximation orders, whose explicit formulas were obtained with the aid of well-known relations of filters, we demonstrate the infinitude of such systems.

Piecewise Lagrange 보간다항식의 특성에 관한 연구

  • 윤경현
    • ETRI Journal
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    • 제6권2호
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    • pp.18-26
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    • 1984
  • Among the various forms of interpolating polynomial for approximation, this paper is a study about the characteristics of piecewise Lagrange interpolating polynomials. And throughout the study, an attempt is made to construct the two-dimensional ap proximating function over Rectangular Grid and Triangular Grid by using the one-dim ensional interpolating polynomials.

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수정된 보간 웨이블렛응 이용한 적응 웨이블렛-콜로케이션 기법 (An Efficient Adaptive Wavelet-Collocation Method Using Lifted Interpolating Wavelets)

  • 김윤영;김재은
    • 대한기계학회논문집A
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    • 제24권8호
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    • pp.2100-2107
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    • 2000
  • The wavelet theory is relatively a new development and now acquires popularity and much interest in many areas including mathematics and engineering. This work presents an adaptive wavelet method for a numerical solution of partial differential equations in a collocation sense. Due to the multi-resolution nature of wavelets, an adaptive strategy can be easily realized it is easy to add or delete the wavelet coefficients as resolution levels progress. Typical wavelet-collocation methods use interpolating wavelets having no vanishing moment, but we propose a new wavelet-collocation method on modified interpolating wavelets having 2 vanishing moments. The use of the modified interpolating wavelets obtained by the lifting scheme requires a smaller number of wavelet coefficients as well as a smaller condition number of system matrices. The latter property makes a preconditioned conjugate gradient solver more useful for efficient analysis.

A ROBUST ESTINMATOR FOR INTERPOLATING REGIONALIZED VARIABLES

  • SUNGKWON KANG
    • Journal of applied mathematics & informatics
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    • 제4권2호
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    • pp.419-432
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    • 1997
  • A robust estimator for interpolating spatially distributed regionalized variables is introduced. It reduces outlier effects on ob-taining correlation between spatial lags and the correlation between spatial lags and the corresponding semi-variances and produces a significaantly improved semivariogram com-pared with those of conventional estimators. This estimator is applied to a field experimental data set.

Multipliers on the dirichlet space $D(Omega)$

  • Nah, Young-Chae
    • 대한수학회논문집
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    • 제10권3호
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    • pp.633-642
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    • 1995
  • Recently S. Axler proved that every sequence in the unit disk U converging to the boundary contains an interpolating subsequence for the multipliers of the Dirichlet space D(U). In this paper we generalizes Axler's result to the finitely connected planer domains such that the Dirichlet spaces are contained in the Bergman spaces.

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산업용 백금저항온도계를 위한 향상된 내삽식 (Improved Interpolating Equation for Industrial Platinum Resistance Thermometer)

  • 양인석;김용규;감기술;이영희
    • 센서학회지
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    • 제21권2호
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    • pp.109-113
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    • 2012
  • We propose an improved interpolating equation to express temperature-resistance characteristics for modern industrial platinum resistance thermometers (PRTs). Callendar-van Dusen equation which has been widely used for platinum resistance thermometer fails to fully describe temperature characteristics of high quality PRTs and leaves systematic residual when the calibration point include temperatures above $300^{\circ}C$. Expanding Callendar-van Dusen to higher-order polynomial drastically improves the uncertainty of the fitting even with reduced degrees of freedom of the fitting. We found that in the fourth-order polynomial fitting, the third-order and fourth-order coefficients have a strong correlation. Using the correlation, we suggest an improved interpolating equation in the form of fourth-order polynomial, but with three fitting parameters. Applying this interpolating equation reduced the uncertainty of the fitting to 32 % of that resulted from the traditional Callendar-van Dusen. This improvement was better than that from a simple third-order polynomial despite that the degrees of the freedom of the fitting was the same.

4D Lookup Table Interpolating을 이용한 단위 전지 방전 시험 기반 열전지 성능 예측 (Performance Estimation Based on 4D Lookup Table Interpolating and Unit Cell Discharge Tests for Thermal Battery)

  • 박병준;김지연;하상현;조장현
    • 한국전기전자재료학회논문지
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    • 제30권6호
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    • pp.393-400
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    • 2017
  • For comparison to the Li-ion battery, evaluating a thermal battery must consider additional variables. The first one is the temperature difference between the battery and its unit cell. Thermal batteries and their unit cells have a temperature difference that is caused by the thermal battery activation mechanism and its shape. The second variable is the electrochemical reaction steps. Most Li-ion batteries have a constant electrochemical reaction at the electrode, and battery voltage is affected when the concentration of Li ions is changed. However, a thermal battery has several steps in its electrochemical reaction, and each step has a different potential. In this study, we used unit cell discharge tests based on interpolating a 4D lookup table to estimate the performance of a thermal battery. From the test results, we derived an estimation algorithm by interpolating the table, which is queried from specified profile groups. As a result, we found less than a 5 percent difference between estimation and experiment at the 1.3 V cut-off time.