关键词: 水平集方法, 距离保持, 几何活动轮廓, 图像分割

Abstract: Level set methods have been extensively used in image segmentation，while the traditional level set methods is numerically necessary to keep the evolving level set function close to a signed distance function by periodically re-initializing，re-initializing the level set function is obviously a disagreement between the theory of the level set method and its implementation.Recently，a new variational formulation which completely eliminates the need of the costly re-initialization procedure has proposed by Li C et.at.The main drawback of this model is due to the one direction propagation，i.e.the initial curve either shrinking or expanding towards the object boundaries.In this paper，a new model is proposed subject to binary image for active contours to detect object in a given image，based on techniques of distance preserving level set method.The proposed models is free from the initial condition，furthermore the curve converge to the object boundary precisely，more importantly the curve evolution only take one iteration.

Key words: level set method, distance preserving, geometrical active contour, image segmentation