基于协方差矩阵的B-样条多尺度表示的角点检测  

Corner Detection Based on B-spline Multi-scale Representation of Covariance Matrix

作　　者：雷明[1] 杨丹[2] 张小洪[2] 张莹[1] 

机构地区：[1]重庆大学数理学院,重庆400044 [2]重庆大学软件工程学院,重庆400030

出　　处：《光电工程》2008年第2期45-50,122,共7页Opto-Electronic Engineering

基　　金：国家自然科学基金项目(60604007)

摘　　要：在B-样条尺度空间下定义了平面轮廓在其支撑区域(ROS)内的协方差矩阵的多尺度表示,矩阵的最大特征值对应的向量表示轮廓切线方向。将各个尺度下的切线方向变化率的乘积定义为多尺度积。而角点就定义为多尺度积大于给定阈值的局部极大值所对应的点。由于多尺度乘积融合了轮廓在不同尺度下的特征信息,增强了特征点的响应,抑制了噪声的影响,因而所提出的算法既能精确定位,又对噪声有良好的鲁棒性。通过实验证明了算法具有旋转不变性,并对微小的尺度变化不敏感,而且与其他的角点检测器进行了对比。The multi-scale representation of covariance matrix for planar counter over its Region of Support （ROS） was defined in the framework of B-spline scale space. The eigenvector corresponding to the largest eigenvalue of covariance matrix indicated contour tangent orientation. The multiplication of change rates of contour tangent orientation at different scales was defined as multi-scale product. A local extreme of the product was reported as comer when the value of the product exceeded a threshold. The features of contour at different scales were contained in multi-scale product which enhanced the responses of comers while suppressing the effect of noise, hence the proposed algorithm not only has good localization accuracy, but also has good robustness to noise. Experimental results demonstrate that our algorithm is rotation-invariant and insensitive to slight scale transform.

关 键 词：角点检测 协方差矩阵 多尺度乘积 B-样条尺度空间 切线方向变化率 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]