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This paper discusses the performance of some existing interpolation algorithms, and presents a deterministic perturbation partial volume interpolation algorithm. This algorithm distributes the contribution of intensity of the transformed point to nine entries in the joint histogram,imports and determines the perturbation to calculate the weights. Then it is analyzed and compared with other algorithms. The results of experiments indicate that this algorithm can avoid the local extremes on grid points and non-grid points, and effectively smooth the object function.