基于Legendre正交矩的区域填充方法

提出一种基于Ｌｅｇｅｎｄｒｅ正交矩的区域填充方法。该方法不仅可以达到很好的填充效果，而且能够起到平滑多边形边角的目的，因而对三维医学图像处理和重建具有重要意义。文章首先介绍Ｌｅｇｅｎｄｒｅ正交矩及其逆变换，接着给出Ｌｅｇｅｎｄｒｅ正交矩的快速计算方法，然后描述用Ｌｅｇｅｎｄｒｅ正交矩填充区域的基本原理及方法，最后给出该方法的计算机实验结果，以说明它的有效性。

A LEGENDRE-MOMENT BASED REGION FILLING METHOD

The purpose of this paper is to develop a region filling method based on Legendre moment. The method not only provides a satisfactory region filling, but also can smooth the sharp angles and edges of the region to be filled. So, it can play an important role in three dimensional medical image process and reconstruction. First this paper introduces the concept of Legendre moments and its inverse transform, then presents the algorithm, approach and basic principle for region filling using Legendre moments and its inverse transform. Finally, some experiment results are presented to show the efficiency of the method.