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Hex样条在层析图像重构上的应用

Application of Hex spline in tomography reconstruction problems
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摘要 通过分析Hex样条及Hex样条与Box样条的关系,将Hex样条作为基函数,对层析图像进行重构,将图像重构问题由矩形晶格推广到Voronoi晶格.分别以一次B样条和Hex样条为基函数,对仿真数据进行实验,利用优化原理对仿真图像进行重构,并进行比较.结果表明以Hex样条为基函数,在Voronoi晶格上重构图像可以得到很好的效果. According to analyze Hex spline and the relationship between Box spline and Hex spline,and using Hex spline as the basic function,this paper reconstructed the tomography,and extend this reconstruction problem from rectangle lattice to Voronoi lattice.By using B spline and Hex spline as basic function respectively,made experiment with simulation data,and reconstructed the simulation graph by using optimization.And got that by using the Hex spline as the basic function could get better result when reconstruct the graph on Voronoi lattice.
机构地区 天津大学数学系
出处 《哈尔滨商业大学学报(自然科学版)》 CAS 2013年第5期604-607,618,共5页 Journal of Harbin University of Commerce:Natural Sciences Edition
关键词 Hex样条 Box样条 层析图像重构 X-ray变换 Hex spline Box spline tomography reconstruction X-ray transform
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参考文献6

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