基于形心的灰度图像多尺度表示方法

Centroid-based approach to multiscale representation of greyscale images.

图像的多尺度表示在多种领域有着重要应用.基于形心的多尺度表示方法能有效应用于二值图像.作者提出了应用于灰度图像的基于形心的多尺度表示方法.同样,该方法能保持源图像的对称性,并且具有形状乃至拓扑的基本保持.其次,还提出了将灰度图像转为三维二值图像进行多尺度表示的方法.实例表明,以上方法在多种领域均能有效应用于灰度图像的多尺度表示.

Multiscale representation of images is extremely often applied in various fields, and as proven before, the centroid-based algorithm for binary images is effective. In this paper, a new centroid-based algorithm of multiscale representation for greyscale images is presented. The same with binary images, the approach is able to preserve symmetry of the original image and even keep its shape or topology. Also in this paper, a greyscale image is supposed as a 3-D binary image in order to apply multiscale representation for binary image. All examples in this paper show that the new method can be efficiently applied in many different fields.