Uniform resampling using the sinc function / Reamostragem uniforme utilizando a função SINC

AUTOR(ES)

Ana Carolina Camargo

DATA DE PUBLICAÇÃO

2006

RESUMO

Its common to be needed to reconstruct functions which samples falls on a nonequally spaced grid. This is due to the fact that some of the most used algorithms require samples in a regular (uniform) Cartesian grid. Therefore, it is necessary to make an uniform resampling, i.e., to interpolate the nonuniform samples in a set of equally spaced points. In this work, it is first shown that the resampling problem can be formulated as a problem of solving a system of linear equations. A solution for this system can be found using the pseudoinverse matrix, a process that is impractical for a large number of variables. From particular characteristics of the problem, it is possible to develop a better algorithm, which only uses a limited number of samples to calculate each uniform sample, transforming the original problem into a sequence of linear systems with less variables. The final result can be viewed as both optimal and computationally efficient. Applications are presented to demonstrate the efficiency of the method

ASSUNTO(S)

image reconstruction transformadas de reconstrução de imagens interpolação fourier interpolation fourier transform

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