基于薄膜振动模型的曲线匹配方法

A New Curve Matching Method Based on Membrane Vibration Model

提出了一种基于薄膜振动模型的仿射不变曲线描述子.本文针对两种类型的曲线匹配进行研究:若尔当曲线和开曲线.对于若尔当曲线,首先将若尔当曲线进行标准化,消除仿射畸变对曲线匹配的影响,然后应用有限元方法在标准化曲线的区域内求解Helmholtz方程的本征值构造曲线描述子;对于开曲线,首先应用欧氏距离变换对开曲线建立窄带模型形成封闭区域,然后提取窄带的若尔当曲线代替原开曲线,最后利用若尔当曲线匹配的方法提取曲线描述子,实现开曲线的匹配.用图像库中的图像和真实图像进行实验,结果表明本文方法要优于现有的傅里叶形状描述方法和Zernike矩描述方法.

A novel affine invariant curve descriptor based on membrane vibration model is proposed in this paper. This paper focused on two kinds of curves,of which one is Jardon curve and the other is open curve.For the Jardon curve,it was firstly nor- malized to overcome the influence of affime distortion. The curve descriptors were then obtained by calculating the eigenvalues of Helmholtz equation using the finite element method;For the open curve,its narrowband model region was firstly established by use of Euclidean distance transform. Then the open curves were replaced by the narrowband models. Finally the open curve descriptors were obtained by using the Jardon curve＇ s method. The experimental results show that the proposed method outperforms the existing Fourier descriptor and Zernike moment descriptor.