Qian W, Clarke L P
Department of Radiology, College of Medicine, University of South Florida, Tampa 33612-4799, USA.
Med Phys. 1996 Aug;23(8):1309-23. doi: 10.1118/1.597868.
A novel wavelet-based neural network (WNN) filter is proposed for image restoration as required for imaging of beta emitters by bremsstrahlung detection using a gamma camera. Quantitative imaging of beta emitters is important for the in vivo management of antibody therapy using either P-32 or Y-90. The theoretical basis for the general case for M-channel multiresolution wavelet decomposition of the nuclear image into different subimages is developed with the objective of isolating the signal from noise. A modified Hopfield neural network (NN) architecture is then used for multichannel image restoration using the dominant signal subimages. The NN model avoids the common inverse problem associated with other image restoration filters such as the Wiener filter. The relative performance of the WNN for image restoration, for M = 2 channel, is compared to a previously reported order statistic neural network hybrid (OSNNH) filter. Initially simulated degraded images of known structures with different noise levels are used. Quantitative metrics such as the normalized mean square error (NMSE) and signal-to-noise ratio (SNR) are used to compare filter performance. The WNN yields comparable results for image restoration with suggested slightly better performance for the images with higher noise levels as often encountered in bremsstrahlung detection. Attenuation measurements were performed using two radionuclides, 32P and 90Y as required for calibration of the gamma camera for quantitative measurements. Similar values for an effective attenuation coefficient were observed for the restored images using the OSNNH filters (32P: mu = 0.122 cm-1, 90Y: mu = 0.135 cm-1) and WNN (32P: mu = 0.122 cm-1, 90Y: mu = 0.135 cm-1) filters with slightly higher values obtained for the raw data (32P: mu = 0.142 cm-1, 90Y: mu = 0.142 cm-1) for a 3.5-cm source size. The WNN, however, was computationally more efficient by a factor of 4 to 6 compared to the OSNNH filter. The filter architecture, in turn, is also optimum for parallel processing or VLSI implementation as required for planar and particularly for SPECT mode of detection.
针对使用伽马相机通过轫致辐射检测对β发射体进行成像所需的图像恢复,提出了一种基于小波的新型神经网络(WNN)滤波器。β发射体的定量成像对于使用P - 32或Y - 90的抗体治疗的体内管理很重要。为了从噪声中分离信号,建立了将核图像进行M通道多分辨率小波分解为不同子图像的一般情况的理论基础。然后使用改进的霍普菲尔德神经网络(NN)架构,利用主要信号子图像进行多通道图像恢复。该NN模型避免了与其他图像恢复滤波器(如维纳滤波器)相关的常见逆问题。将M = 2通道的WNN用于图像恢复的相对性能与先前报道的顺序统计神经网络混合(OSNNH)滤波器进行了比较。最初使用具有不同噪声水平的已知结构的模拟退化图像。使用归一化均方误差(NMSE)和信噪比(SNR)等定量指标来比较滤波器性能。对于图像恢复,WNN产生了可比的结果,对于轫致辐射检测中经常遇到的较高噪声水平的图像,其性能略好。按照伽马相机定量测量校准要求,使用两种放射性核素32P和90Y进行了衰减测量。使用OSNNH滤波器(32P:μ = 0.122 cm-1,90Y:μ = 0.135 cm-1)和WNN(32P:μ = 0.122 cm-1,90Y:μ = 0.135 cm-1)滤波器对恢复图像观察到类似的有效衰减系数值,对于3.5厘米源尺寸的原始数据(32P:μ = 0.142 cm-1,90Y:μ = 0.142 cm-1)获得的值略高。然而,与OSNNH滤波器相比,WNN的计算效率提高了4到6倍。反过来,该滤波器架构对于平面检测尤其是SPECT检测模式所需的并行处理或VLSI实现也是最优的。