Partitioned image filtering for reduction of the Gibbs phenomenon.
Partitioned image filtering for reduction of the Gibbs phenomenon.
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DOI：
10.2967/jnmt.108.061556
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发表时间：
2009-06
影响因子：
1.3
通讯作者：
Allred RJ
中科院分区：
文献类型：
--
作者：
Zeng GL;Allred RJ
本文的目的是提出一种分区图像滤波技术，这是一种减少滤波图像中吉布斯现象的新方法。该技术依赖于利用吉布斯现象的特性以及关于图像结构的假设。吉布斯振铃的幅度与图像不连续性的高度成正比。如果可以降低不连续性的高度，那么随后的振铃也会减少。将图像分成分层或分区可显着降低不连续性的高度。每个分区单独过滤并非线性重新组合以产生最终的过滤图像。该方法削弱了对不连续性较大的图像边缘的滤波，从而减少了吉布斯现象，同时降低了图像噪声。所提出的滤波方法已应用于只有 2 个强度值的简单图像，以说明实现步骤。该方法还应用于 2 个 SPECT 患者研究，显示了所提出的过滤方法的有效性，可以显着减少吉布斯伪影。可以通过分割图像来减少滤波图像中的吉布斯现象，从而控制不连续性的幅度。所提出的方法高效且实现简单，具有快速傅里叶变换。
The aim of this paper is to propose a partitioned-image filtering technique that is a new way of reducing the Gibbs phenomenon in filtered images. This technique relies on exploiting the properties of the Gibbs phenomenon and on assumptions about the structure of the image. The amplitude of the Gibbs ringing is directly proportional to the height of the image discontinuity. If the height of the discontinuity can be reduced, then the subsequent ringing will also be reduced. Separating the image into stratified layers or partitions reduces the height of the discontinuity significantly. Each partition is filtered separately and recombined nonlinearly to yield the final filtered image. This method weakens filtering of image edges that have large discontinuities, thus reducing the Gibbs phenomenon while simultaneously reducing the image noise. The proposed filtering method has been applied to a simple image with only 2 intensity values to illustrate the implementation steps. The method has also been applied to 2 SPECT patient studies to show the effectiveness of the proposed filtering method, which can significantly reduce the Gibbs artifacts. The Gibbs phenomenon in a filtered image can be reduced by partitioning the image so that the amplitude of the discontinuity is controlled. The proposed method is efficient and simple in implementation, with fast Fourier transform.