首先讨论了投影数据零空间对重建结果的结果，分析了代数重建算法（ART）的收敛过程以及对不投影数据ART方法的重建结果，针对投景数据不完备约束的问题，将统计物理学中的模拟退火的ART的迭代过程中，根据对图象像素间连续性的假设，最平稳解的约束，并利用模拟退火方法得到最优。

The effect of null space of projecting data on reconstruction result is discussed. Then the convergence procedure of Algebra Reconstruction Technique (ART) and its reconstruction result for incomplete projecting data are analyzed. Simulated Annealing(SA) method in statistic physics is introduced into the iteration of ART method to deal with the problem of incomplete constraint. Based on the assumption of continuity among image pixels, constraint of most stable solution is added to get the optimal solution by means of Simulated Annealing method.