Estimating error diffusion kernel from error diffused images

P. Wong
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Abstract

The problem of estimating the error diffusion kernel from error diffused images is considered. We first suggest a method for estimating an error diffusion kernel using a gray scale image and its error diffused version. The task is cast as a system identification problem and is solved using techniques from adaptive signal processing. Specifically, we define an error criterion between the error diffusion system with the true but unknown kernel, and one with an estimate of the true kernel. The estimate is then adjusted using a gradient descend type algorithm so that the error criterion is minimized. This algorithm is then combined with a projection algorithm for inverse halftoning to iteratively estimate the kernel from only an error diffused halftone.<>
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从误差扩散图像中估计误差扩散核
研究了从误差扩散图像中估计误差扩散核的问题。我们首先提出了一种利用灰度图像及其误差扩散版本估计误差扩散核的方法。该任务被视为一个系统识别问题,并使用自适应信号处理技术来解决。具体地说,我们定义了一个误差扩散系统之间的误差判据,即具有真实但未知核的误差扩散系统和具有真实核估计的误差扩散系统。然后使用梯度下降算法调整估计,使误差准则最小化。然后将该算法与反半色调的投影算法相结合,仅从误差扩散半色调迭代估计核。
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