in computer vision symmetry is one of important geometric features of 3-D objects. We can use it to recover the structure of objects and estimate their positions in 3-D space. However

it is difficUlt to obtain perfect symmetry shapes due to occlusion

self-occlusion or noise. This paper describes a new algorithm which recovers a whole closed contour from its partial curve ba$ed on the skewed symmetry. First we find two axes of skewed symmetry. Then all skewed symmetry axes of the closed contour are calculated. The closed contour can be obtained through the linear geometric transformation and is inverse transformation. The experimental results implemented with the algorithm are very satisfactory.