For complex wrapped phase image,phase usually changes drastically an d phase unwrapping computing is very time-consuming.In this paper,a fast and accurate unwrapping algorithm is desi gned to solve these problems.Firstly,the wrapped phase image is obtained through the three-step phase shift method.The q uality map is calculated according to the wrapped phase.Then,the horizontal and vertical weight edges are constructed by using two neighboring pixels′ quality value.The phase unwrapping path is guided by weight value of constructed edges. The unwrapping procedure uses two pixels as a unit.All the pixels are unwrapped successively by using a discontin uous path.The proposed algorithm in this paper can reduce the influence of region discontinuities,measurement occlusion and ambient noise on unwrapping accuracy effectively.Only by sorting all edges once,the order of phase unwrapping can b e determined.So the efficiency of unwrapping phase is improved significantly.We also make further optimization on the unwrapping algorithm according to the characteristics of constructed weight graph.By this way,the redundant edge s are removed.It can rapidly speed up the unwrapping process.Through the comparison of experiment results with other algo rithms,it indicates that the proposed algorithm is faster and more accurate.