有限域中半色调图像的小波变换

Оптический журнал Pub Date : 2020-05-01 DOI:10.1364/jot.87.000293

V. N. Gorbachev, A. Kazakov, E. Kaĭnarova, K. D. Maslenitskaya

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引用次数: 1

摘要

提出了半色调图像有限域GF(p)的离散小波变换。给出了基于双频滤波器组的循环矩阵变换。确定了半色调图像Daubechies小波db4和db6的正交和双正交变换场。在不改变原始图像亮度范围的情况下，对小波系数进行修改，验证了所提变换的可行性。

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Wavelet transform of a halftone image in a finite field

A discrete wavelet transform in a finite field GF(p) is proposed for halftone images. Circulant matrices of a transform based on dual-band filter banks are presented. The fields for orthogonal and biorthogonal transforms of halftone image Daubechies wavelets db4 and db6 are determined. A modification of wavelet coefficients without a change in the original image brightness range demonstrates the feasibility of the proposed transforms.

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Оптический журнал

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