Arimoto entropy is a general form of entropy. Firstly, a representation error on the two-dimensional Arimoto entropy is pointed out, and a correct two-dimensional Arimoto entropy thresholding method is given; a two-dimensional Arimoto entropy linear-type thresholding method and its fast recursive formula are proposed; Arimoto entropy formula parameter selection and the segmentation performance assessment according to the ground truth images are discussed. A large number of segmentation experiment results show that the two-dimensional Arimoto entropy linear-type thresholding method has at least a similar effect with the two-dimensional Arimoto entropy & the two-dimensional Renyi entropy linear-type thresholding; in the cases of the more image edge and noise information, the two-dimensional Arimoto entropy linear-type method is better than the two-dimensional Arimoto entropy & the two-dimensional Renyi entropy linear-type method, is a effective thresholding method.