关键词: 角点检测, 多尺度乘积, 协方差矩阵, 轮廓支撑域

Abstract: A corner detection algorithm based on the multi-scale multiplication of the determinant of the covariance matrix is proposed.The covariance matrix is explored upon the local support region of the planar curve.The analysis of the eigenvalue and the eigenvector of the covariance matrix proves that the determinant of the covariance matrix has the strongest response at corners by using V corner model.In order to effectively incorporate the characteristics of different scales，multi-scale multiplication is used，which not only promotes the magnitude of the response at corners，but also suppresses the peaks of the non-corners and noises.Experimental results show that the proposed method is well localized，robust to noise and have good characteristic of rotation and scale invariance by comparison with the classical corner detectors.

Key words: corner detection, multi-scale product, covariance matrices, region of support