摘要
提出了一种新的以离散Hahn多项式为变换核的离散正交Hahn矩并用于图像重建,推导了Hahn多项式的有关递推关系式.为了能计算高阶矩,减少矩计算过程中的累计误差,精确重建图像,利用Hahn多项式关于x方向的对称性并对部分表达式进行了优化处理,取得了显著的效果.通过与离散正交Tchebichef矩的重建图像进行比较,表明了该方法的有效性.
A new discrete orthogonal moment-Hahn moment based on the discrete classical Hahn polynomials was introduced. The recurrence relations of the Hahn polynomials were derived. These relations, combining with the symmetry property, are used to evaluate the Hahn polynomial values. The strategy can reduce the accumulation of numerical errors in the computation of high order polynomial values so that the original image can be accurately reconstructed. The image reconstruction ability using Hahn moment was compared with that using Tchcbichef moment. The experimental results demonstrate the effectiveness of the proposed method.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2006年第5期796-800,804,共6页
Journal of Shanghai Jiaotong University
基金
国家自然科学基金资助项目(60272045)
新世纪优秀人才支持计划资助
关键词
离散正交矩
Hahn多项式
图像重建
discrete orthogonal moments
Hahn polynomials
image reconstruction
