U弦长曲率:一种离散曲率计算方法  

U-Chord Curvature: A Computational Method of Discrete Curvature

作　　者：郭娟娟[1] 钟宝江[1] 

机构地区：[1]苏州大学计算机科学与技术学院,苏州215006

出　　处：《模式识别与人工智能》2014年第8期683-691,共9页Pattern Recognition and Artificial Intelligence

基　　金：国家自然科学基金项目(No.61075040;61033013);江苏省自然科学基金项目(No.BK2012645);江苏省省属高校自然科学研究重大项目(No.10KJA520047);江苏省产学研联合创新资金项目(No.BY2012114);苏州大学"东吴学者计划"项目资助

摘　　要：数字曲线的离散曲率计算在图像分析和计算机视觉的各个领域都有广泛应用.文中提出一种离散曲率计算方法——U弦长曲率.数字曲线上的每个点,它的支持领域由距离该点为给定弦长的两点确定,再在这个支持领域内估算当前点的U弦长曲率,理论分析论证U弦长曲率与曲线的真实曲率之间存在一种明确联系.与现有的离散曲率计算方法相比,U弦长曲率具有更强的抗旋转性和抗噪性,适用于完成曲线匹配等对曲率计算稳定性要求高的一类任务.仿真实验结果验证文中方法的有效性.Discrete curvature computation of digital curves is widely applied to various tasks of image analysis and computer vision. A computational method of discrete curvature, U-chord curvature, is proposed. For each point in a digital curve, its support region is determined by two points with a given chord distance to the point, and then the U-chord curvature of the point is estimated. A theoretical analysis shows that there is a close relationship between the U-chord curvature and the real curvature of the curve. Compared with the existing computational methods of discrete curvature, the U-chord curvature is more stable under rotation transformations and noise condition. Therefore, it is suitable for image and vision tasks which require a high stability of curvature estimation, such as curve matching. Simulation experiments show the efficiency of the proposed method.

关 键 词：数字曲线 离散曲率 轮廓形状 曲线匹配 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]