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Weighted Interpolation Method Using Supplementary Filter  

Jang, In-Gul (Div. of Electronic & Information Engineering, IT Convergence Research Center, Chonbuk National University)
Lee, Jae-Kyung (Div. of Electronic & Information Engineering, IT Convergence Research Center, Chonbuk National University)
Chung, Jin-Gyun (Div. of Electronic & Information Engineering, IT Convergence Research Center, Chonbuk National University)
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Abstract
Interpolation filters are widely used in many communication and multimedia applications. Polynomial interpolation computes the coefficients of the polynomial according to the input information to obtain the interpolated value. Recently, FIR interpolation method using supplementary filters was proposed to improve the performances of polynomial interpolation methods. In this paper, by combining a weighting factor approach with the supplementary filter method, we propose a weighted interpolation method which can be efficiently used to compute the maximum or minimum values of a given curve using only a restricted number of sample values. With application to the interpolation of normal distribution curves used in XRF systems, it is shown that the proposed approach exhibits improved performances compared with conventional interpolation methods.
Keywords
interpolation; Lagrange; polynomial interpolation; supplementary filter;
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