斜变滤波器频域加窗对图像重建的影响

doi:10.3969/j.issn.1000-1158.2014.04.17

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摘要斜变滤波器的性能对图像重建有重要的影响,频域加窗设计法是其主要的设计方法。设计了4种经典的加窗滤波器：RL滤波器、SL滤波器、Hamming窗滤波器和指数窗滤波器。从单位冲激响应和频率响应2个方面分析了这4种滤波器的特性；从频率响应和旁瓣衰减速度2个方面比较了这4种滤波器。理论分析与仿真结果表明：指数窗滤波器的震荡噪声最小；SL滤波器整体最优。

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	乔志伟

关键词 ：计量学, 斜变滤波器, 窗函数, 图像重建, 滤波反投影算法, 频率响应

Abstract：The performance of the ramp filter has an important influence on image reconstruction. The design method of frequency domain window-adding is the main method. Four classical window-adding filters were designed, which are RL filter, SL filter, Hamming window filter and exponent window filter. The four filters characteristics were analyzed using the unit impulse response and frequency response. The four filters were compared from the frequency response side and the sidelobe attenuation rate side. Theoretical analysis and simulation results show that the vibration noise of the exponent window filter is minimum and the SL filter is optimal as a whole.

Key words： Metrology Ramp filter Window function Image reconstruction Filtered back projection algorithm Frequency response

基金资助:国家自然科学基金(61071193 , 61171179)

作者简介: 乔志伟(1977-),男,山西洪洞人,中北大学副教授,博士,主要研究方向为图像重建、高性能计算以及数字信号处理等。zhiweiqiaook@nuc.edu.cn

引用本文:

乔志伟. 斜变滤波器频域加窗对图像重建的影响[J]. 计量学报, 2014, 35(4): 382-386.
QIAO Zhi-wei. Impact of Frequency Domain Window-adding for the Ramp Filter on Image Reconstruction. Acta Metrologica Sinica, 2014, 35(4): 382-386.

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http://jlxb.china-csm.org:81/Jwk_jlxb/CN/10.3969/j.issn.1000-1158.2014.04.17 或 http://jlxb.china-csm.org:81/Jwk_jlxb/CN/Y2014/V35/I4/382