Computed Tomography Image Coding through Air Filtering in the Wavelet Domain

Juan Munoz-Gomez, Joan Bartrina-Rapesta, Francesc Aulí Llinàs, J. Serra-Sagristà
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Abstract

Computed Tomography (CT) devices irradiate a (human) body with controlled amounts of X-ray to produce an image where different substance (lung, tissue, vessels, etc.) can be identified unequivocally. Commonly, CT devices also capture areas that do not belong to the human body. Such areas are referred to as air pixels, and may contain imaging artifacts. The air pixels are irrelevant for the medical diagnostic and provoke an important degradation in coding efficiency. In order to improve coding performance, we propose an air filtering technique based on a thresholding in the wavelet domain. The thresholds are determined through the existing relation between wavelet coefficients and image samples, which can be expressed in terms of a probability function. The proposed scheme filters air pixels in the wavelet domain by removing coefficients that are below a given threshold. The thresholds are estimated for different resolution levels and subbands, obtaining a probability of 70% to correctly filter air pixels. Although the proposed technique introduces an slight distortion in terms of RMSE in the biological area, this distortion is negligible compared with the state-of-the-art HDCS filter. These results suggest that the rate-distortion coding performance of our proposal and HDCS outperform significantly the coding performance of JPEG2000. In addition, Table 1 provides the RMSE of the HDCS and our proposal when compared with the original image, indicating that our proposal introduces much less RMSE distortion.
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基于小波域空气滤波的计算机断层图像编码
计算机断层扫描(CT)设备用控制量的x射线照射(人体)以产生图像,其中不同的物质(肺,组织,血管等)可以明确识别。通常,CT设备也会捕获不属于人体的区域。这样的区域被称为空气像素,并且可能包含成像伪影。空气像素与医学诊断无关,会导致编码效率的严重下降。为了提高编码性能,提出了一种基于小波域阈值的空气滤波技术。阈值是通过小波系数与图像样本之间存在的关系来确定的,这种关系可以用概率函数表示。该方案通过去除低于给定阈值的系数来过滤小波域中的空气像素。对不同分辨率水平和子带的阈值进行估计,得到正确过滤空气像素的概率为70%。尽管所提出的技术在生物领域引入了RMSE方面的轻微失真,但与最先进的HDCS滤波器相比,这种失真可以忽略不计。这些结果表明,我们的方案和HDCS的码率失真编码性能明显优于JPEG2000的编码性能。此外,表1提供了HDCS和我们的提案与原始图像相比的RMSE,表明我们的提案引入的RMSE失真要小得多。
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