複合多項式の画像データ圧縮への応用

Abstract

With the developement of personal computers, it becomes that the degital image data are widely handled in many areas. Usually, a large amount storage is required to save an image data, that is, it is expensive to handle the image data. To reduce this costs, many data compression techniques have been investigated. In this paper, we propose a data compression scheme based on the composite polynomials. The digital image data are considered to be the sampled data of functions with finitely many discontinuous points. Low frequency components are represented in terms of discrete Fourier coefficients and high frequency components are represented in terms of jump discontinuities of the function.