关键词: 非线性Mean Shift, 密度函数, 核函数, 收敛性, 图像处理

Abstract: Nonlinear Mean Shift is an efficient iterative algorithm. The research for its convergence is the basis of applications. Although some theoretical properties are proposed, the convergence of data on manifolds isn’t discussed. Besides, the proof of the convergence of density function sequence isn’t sufficient. With knowledge of Riemann manifolds, the condition of convergence to the local stable point is offered and the convergence of density function sequence and iterative data is proved in details, which contribute to further development of the algorithm and extension of its applications.

Key words: nonlinear Mean Shift, density function, kernel function, convergence, image processing