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《Computerized Tomography Theory and Applications》 2013-01
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A Further Study on the Ideal Ramp Filter of Analytical Image Reconstruction

QIAO Zhi-wei ,HAN Yan,PAN Jin-xiao Key Laboratory of Instrumentation Science & Dynamic Measurement of Ministry of Education,North University of China,Taiyuan 030051,China  
The ideal ramp filter is a generalized function defined by the inverse Fourier transform.Designing practical digital filters of the ideal ramp filter is the most important task.The equation of the unit impulse response of the ideal ramp filter was deduced.Two design patterns of practical digital filters were proposed,which are continuous pattern and discrete pattern.Three existing practical filters were analyzed.Two new practical filters were designed.A comparison of the five filters was made through a simulation experiment.In general,the discrete methods coming from the discrete design pattern are better than the continuous methods coming from the continuous design pattern.Between the two discrete methods,the infinite length discrete method is better than the adaptable length discrete method.Using them,better reconstruction quality can be obtained.Among the three continuous methods,the linear method is the best,which is acceptable in engineering applications.The constant method and the parabola method cannot make good effect in image reconstruction.
【Fund】: National Natural Science Foundation of China(61071193)
【CateGory Index】: TP391.41
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