工业CT图像重建的ART算法研究
Research on ART of Image Reconstruction Method for ICT
摘 要
工业CT是一种先进的无损检测手段。传统的滤波反投影算法（FBP）要求完备的投影数据，而实际检测中往往由于客观原因无法获得完全的投影数据。针对不完全投影的数据重建问题，提出了利用代数重建法（ART）进行图像重建。分析了影响ART算法的重建速度和重建质量的因素，通过仿真实验对两种算法的重建质量进行了比较。结果表明，在投影数据不完备时，ART算法的重建质量要优于FBP算法。
信号处理
图像重建
代数重建法
滤波反投影法
Industrial CT
Signal processing
Image reconstruction
Algebraic reconstruction technique
Filtered backprojection method
Abstract
Industrial computed tomography(ICT) is an advanced means for nondestructive testing. Traditional filtered backprojection(FBP) method required complete projection data, which were often difficult or even impossible to acquire for objective reasons. The algebraic reconstruction technique(ART) was proposed to reconstruct image from incomplete projection data. The factors influencing reconstruction speed and quality of ART were analyzed, the reconstruction quality of the two methods was compared by simulation experiments. The results showed that the reconstruction quality of ART was better than FBP when the projection data were incomplete.
中图分类号 TG115.28 TN919.8
所属栏目 科研成果与学术交流
基金项目 国家自然科学基金资助项目(50375126)；航空基金资助项目(2006ZD53047)；陕西省教育厅科研基金资助项目(07JK425)；咸阳师范学院科研基金资助项目(06XSYK211)
收稿日期 2006/12/25
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备注张顺利(1973-)，男，博士研究生，研究方向为工业CT、图形图像处理。
引用该论文: ZHANG Shun-li,ZHANG Ding-hua,ZHAO Xin-bo,WANG Kai. Research on ART of Image Reconstruction Method for ICT[J]. Nondestructive Testing, 2007, 29(8): 453～456
张顺利,张定华,赵歆波,王 凯. 工业CT图像重建的ART算法研究[J]. 无损检测, 2007, 29(8): 453～456
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参考文献
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【8】Klaus Muller. Fast and accurate three-dimensional reconstruction from cone-beam projection data using algebraic methods[D]. USA: The Ohio State University,1998.
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【2】Herman G T, Meyer L B. Algebraic reconstruction can be made computationally efficient[J]. IEEE Trans Med Image,1993,12(3):600-609.
【3】秦中元,牟轩沁,王 平,等.一种内存优化的代数重建算法及其快速实现[J].电子学报,2003,33(6):1327-1329.
【4】张顺利,张定华,李 山,等.ART算法快速图像重建研究[J].计算机工程与应用,2006,42(24):1-3.
【5】庄天戈.CT原理与算法[M].上海：上海交通大学出版社,1992.
【6】Tanabe K. Projection method for solving a singular system[J]. Numer Math,1971,(17):203-214.
【7】张顺利.ART算法几种重建模型的研究和比较[J].航空计算技术,2005,35(2):39-41.
【8】Klaus Muller. Fast and accurate three-dimensional reconstruction from cone-beam projection data using algebraic methods[D]. USA: The Ohio State University,1998.
【9】Guan H, Gordon R. A projection access order for speedy convergence of ART: a multilevel scheme for computed tomography Phys Med Biol[J]. 1994,(39):2005-2022.
【10】Mueller K, Yagel R, Cornhill J F. The weighted distance scheme: a globally optimizing projection ordering method for ART[J]. IEEE Transaction on Medical Image,1997,16(2):223-230.
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