尺度空间-钟宝江.pdf

计算机视觉中的曲率尺度空间技术: 基本概念与理论进展 1,2 3 1 钟宝江 ，马凯光 ，刘文忠 1. 南京航空航天大学数学系，南京 211100 E-mail: zhbj@nuaa.edu.cn; wzhliu7502@nuaa.edu.cn 2. 计算机软件新技术国家重点实验室(南京大学) ，南京 210093 3. 南洋理工大学电气与电子工程学院，新加坡 639798 E-mail: ekkma@ntu.edu.sg 摘 要: 近年来尺度空间技术在计算机视觉和图象处理领域得到了广泛的重视和应用，其中曲率尺度空间技术因其一系列优 秀性质而入选MPEG-7标准。本文首先形象地解释“尺度空间”这一概念在解决与形状相关的视觉问题时具体含义及重要性， 然后简要概述最近二十多年来曲率尺度空间技术在理论上的发展情况。 关键词: 尺度空间，曲率尺度空间，曲线演化，形状描述，角点检测，MPEG-7 Curvature Scale Space Technique in Computer Vision: Basic Concept and Theoretical Developments 1,2 3 1 Baojiang Zhong , Kai-Kuang Ma , Wenzhong Liu 1. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211100, China E-mail: zhbj@nuaa.edu.cn; wzhliu7502@nuaa.edu.cn 2. State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing 210093, China 3. School of Electrical and Electronic Engineering, Nanyang Technological University, 639798, Singapore E-mail: ekkma@ntu.edu.sg Abstract: Scale space techniques have attracted much attention in the field of computer vision and image processing. In particular, the curvature scale space (CSS) technique was selected in the MPEG-7 standard due to a number of nice properties. In this paper the scale space concept is first explained in detail and its significance in solving shape-based vision problems is clarified. A brief survey of the theoretical developments of the CSS technique in the pa