%0 Journal Article %T A Spline Fitting Method for Image Reconstruction from Projections
由投影重建图象的样条拟合法 %A 李岳生 %A 胡日章 %J 计算数学 %D 1992 %I %X In this paper the problem of image reconstruction is considered as a constrained minimiza-tion problem of the functional where constraint conditions are volues of the integral on somemanifolds. Thus, a new method for image reconstruction from projections is developed. The co-mputational algorithms are constructed and the existence and the uniqueness of the solution as aspline function are proved. Some examples are given to illustrate the effectiveness of the method. %K 投影重建图象 %K 样条拟合 %K CT技术 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=51B65B212BB0C95FD0437013E40CD672&yid=F53A2717BDB04D52&vid=F3583C8E78166B9E&iid=38B194292C032A66&sid=9EF602EA28138BEA&eid=05340B75C67FF664&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=3