少量的投影数据不能保证重构的完成，即使所研究的图像内只有3 种质地．此前提出的 Line Mojette算法能够在少量投影数据状况下完成重构，但仅限于单个且完全精确的重构结构能够得到的状况．为此，文中在 Line Mojette 算法的基础上，采用树分解来推演出一个名为 Tree Line Mojette 的算法来对三值图像进行重构，该算法可以在 Line Mojette 算法不能完成重构的情况下给出所有可能的重构结果．

Having very few projections of an image does not guarantee the reconstruction even in the case that the original image is only composed of 3 materials.Although previously developed line Mojette algorithm gives a solution in this case,an unicity is required.In order to solve this problem, based on the line Mojette transfrom,the tree decomposition is used to provide the complete set of solutions from a new algorithm denoted as“Tree Line Mojette”in the case that the original image contains only 3 materials (3 discrete values).