关键词: 等周算法, 等周率, 图像分割, 状态向量

Abstract: Because of the drawbacks of the isoperimetric algorithm applied in image segmentation，such as not making full use of the state vector from solving linear equations and large amount of calculations produced by second iteration，this paper presents the accelerated improvement，the k+1 iterative method，after analysing the state vector and the isoperimetric ratio about images of multi-objective.Analyses and experiments show that the improved method is more efficient than the original segmentation algorithm in iterative numbers and time.

Key words: isoperimetric algorithm, isoperimetric ratio, image segmentation, state vector