基于斜对称性的闭合曲线恢复

Completion Recovery of Closed Contours Using Their Skewed Symmetry

在计算机视觉中，对称性是三维物体的重要几何特征之一，可以利用它来恢复物体的结构、确定三维空间位置．但由于物体之间互相遮挡以及噪声影响，很难获得完整的对称图形．本文基于以前所获得有关闭合曲线的斜对称性质，阐述了以给定的一段曲线，只要找出两条相邻的斜对称轴线，确定其对称度，经线性几何正反变换，就可完整地恢复闭合曲线的算法．使用该算法所进行的实验是令人满意的．

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.