中文摘要：

提出一种新的灰度图像分层表述算法。该算法的核心是基于一系列具有高度规律性的灰度函数gn(x,y)来逼近不规则的原图像灰度函数f(x,y)。本算法具有快速收敛性,是一个良好的逼近器。由于gn具有高度规律性,致使用较少的存储空间就可实现对它的存储。这一算法为生物图像的数据处理和重构提供一条新的途径。

英文摘要：

A new algorithm of image Layer-presentation was proposed. The key concept of the algorithm was in that the image grayscale function f(x,y), which was comparatively irregular, was approximated by a series of high-regular grayscale functions gn(x,y). The algorithm had the feature of fast convergence and so it was a good approximator. Due to its high-regularity, gn might be stored in a quite small memory space. Thus, the algorithm gives a new way for data processing and reconstruction of biological images.