测地活动轮廓图像边界检测技术研究

本文是对当前各类活动轮廓图像边界检测技术的综述。主要内容涉及两个方面。第一部分引出了活动轮廓图像边界检测模型。从著名的Snake模型开始,阐述了它的基本原理和应用领域。然后指出了该模型存在的问题以及针对这些问题提出的几种改进方法,重点讨论了T—蛇（即拓扑保持蛇）与共轭或称对偶蛇—ACM模型。但所有这些改进方法,连同最初的蛇模型,其数学表示方式都不是内蕴的,即它们的表示方法与参数相关。这对于一种几何表示而言是不能令人满意的。本文的第二部分重点介绍了近年提出的测地活动轮廓模型的内容,它是对传统蛇模型的一种巨大改进。测地活动轮廓模型利用分析力学的方法及Maupertuis原理对传统活动轮廓模型做了本质的更改,使其数学表示方法成为了内蕴的,从而摆脱了对参数化的依赖性。并使求能量泛函极小值的问题转化成为了在一个Riemann空间中寻找一条测地线的问题。这种几何解释的提出使得测地活动轮廓模型研究与当前的另一研究热点—水平集方法产生了深刻的内在联系,并使得有关水平集理论中的众多研究成果、算法和软件能够应用到测地活动轮廓模型的研究中来。

Geodesic Active Contour Model and its Applications

This paper had summerized various Active Contour Model currently used in edge detection in image procession.It was maily divided into two parts.The first part introduced the active contour model about edge detection in image.It start from the famous Snake Model and has discussed its fundamental principle and application areas.It has also pointed out the existing problems of this model and its various improvements,such as T-Snake Model or Dual Snake Model.The second part is about the Geodesic Active Contour Model(GACM).It is a great improvement of the traditional Snake Model.The GACM utilized the Maupertius's principle and other results from analytic mechanics to improve the traditional active contour model and had made its mathematical representation to be intrinsic.So the GACM is independent from its parametrization.In addition,the GACM had transferred the problem of solving extremity of an energy functional to the problem of solving a geodesic curve in an appropriate Riemannian space.This transference deeply connected the Snake Model with another hot-point in research area: the Level Set theory.