## Abstract

A simple multilevel halftoning method, which is based on the conventional error diffusion method and realizes halftoning excelled in the distribution of dots, is proposed. The proposed method consists of three steps, e.g., the image decomposition, the generation of binary halftone images by the error diffusion, and the synthesis of a multilevel halftone image, and each step does not require a complicated algorithm. The effectiveness of the proposed method is indicated by applying it to three- and four-level halftoning of gray-tone and natural images.

© 2008 Optical Society of America

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### Equations (7)

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(1)
$$Y\left(i\right)={L}_{*},$$
(2)
$$\overline{X}\left(i\right)=X\left(i\right)+\sum _{j}{w}_{ij}e\left(j\right),$$
(3)
$${T}_{k}={L}_{k}+d\u22152,$$
(4)
$${X}_{0}\left(i\right)={L}_{n},$$
(5)
$${X}_{m}\left(i\right)=\raisebox{1ex}{${X}_{m-1}\left(i\right)-\frac{(n-1)\text{!}}{(m-1)\text{!}(n-m)\text{!}}{X}^{m-1}\left(i\right){(1-\frac{X\left(i\right)}{{L}_{n}})}^{n-m}$}\!\left/ \!\raisebox{-1ex}{${L}_{n}^{m-2}$}\right.,$$
(6)
$$\frac{\sum _{m=1}^{n-1}{X}_{m}\left(i\right)}{n-1}=X\left(i\right).$$
(7)
$$Y\left(i\right)=\frac{\sum _{m=1}^{n-1}{Y}_{m}\left(i\right)}{n-1}.$$