计算机工程与应用2017，Vol.53Issue(19)：179-183,5.DOI:10.3778/j.issn.1002-8331.1604-0368
锥束FDK反投影重建算法的三角函数优化
Optimization of FDK cone-beam back-projection reconstruction algorithm with trigonometric function
摘要
Abstract
To accelerate the reconstruction speed of traditional FDK(Feldkamp-Davis-Kress)algorithm, an improved FDK method based on polar coordinates and the periodic characteristics of trigonometric function is proposed. The modified algorithm is able to implement back projection reconstruction from projection data obtained at different angles at the same time, which greatly reduces the operation volume of trigonometric function. In addition, during the transformation of reconstructed image from Polar coordinates to Cartesian coordinates, several pixels can be switched simultaneously due to the symmetry of cotangent function. Experimental results show that, compared with the traditional FDK reconstruction algorithm, this optimal method can improve the speed by about 10 times.关键词
反投影/极坐标/三角函数/周期性/对称性Key words
back-projection/Polar coordinate/trigonometric function/periodicity/symmetry分类
信息技术与安全科学引用本文复制引用
刘辉,张权,刘祎,白云蛟,桂志国..锥束FDK反投影重建算法的三角函数优化[J].计算机工程与应用,2017,53(19):179-183,5.基金项目
国家自然科学基金(No.61271357) （No.61271357）
国家重大科学仪器设备开发专项(No.2014YQ240445) （No.2014YQ240445）
山西省自然科学基金(No.2015011046) （No.2015011046）
爆炸科学与技术国家重点实验室(北京理工大学)开放课题(No.KFJJ15-08M) （北京理工大学）
2013年中北大学科学基金. （）
