There is the contradiction between coding speed and the quality of the decoded image in many fast fractal coding methods based on classification.In this paper,as the Krawtchouk moments are invariant under affine maps and the kernel-induced fuzzy clustering has prominent advantages in dealing with nonlinear problems,both of them are used to fractal coding,and a fast fractal coding method of adaptive classification based on Krawtchouk moments and kernel-induced fuzzy clustering is proposed.Firstly...