Adaptive noise cancelling in computed tomography

N. Srinivasa, K. Ramakrishnan, K. Rajgopal
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Abstract

The problem of image reconstruction from noisy projection data is considered. Adaptive noise canceling techniques are utilized to obtain noise-canceled projections in the data-preprocessing stage. Because noise encountered in computerized tomography is signal-dependent, an adaptive predictor is preferred to a fixed-parameter filter. Noise cancellation is achieved because the decorrelation time for broadband noise is less than that of narrowband signals. Both the tapped delay line structure and the lattice have been studied for implementing the adaptive linear predictor. The idea of forward-backward processing is used for circumventing the large error in the initial part of the noise-canceled projection data. The reconstruction is then completed from noise-filtered projection data using the convolution back projection method. Simulation results demonstrating the efficacy of the proposed method are presented.<>
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计算机断层扫描中的自适应噪声消除
研究了基于噪声投影数据的图像重建问题。在数据预处理阶段,利用自适应消噪技术获得消噪投影。由于计算机断层扫描中遇到的噪声与信号有关,因此自适应预测器优于固定参数滤波器。由于宽频带噪声的去相关时间比窄频带信号的去相关时间短,因此实现了噪声的消除。研究了自适应线性预测器的抽头延迟线结构和点阵结构。利用前向后向处理的思想,克服了消噪投影数据初始部分误差较大的问题。然后利用卷积反投影法对噪声滤波后的投影数据进行重建。仿真结果验证了该方法的有效性。
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