摘要: 月表Th 元素分布特征对于分析月表岩石成因及化学特征等提供了重要依据。为了减小嫦娥二号伽玛谱(CE2-GRS) 噪声对获取Th 元素分布特征的影响，提出了一种基于噪声调整的奇异值分解(NASVD) 去噪算法。通过伽玛谱预处理、去噪、本底扣除及净峰面积求解等步骤，获得月表放射性元素Th计数率全月分布图。通过与国内外其他方法所获得的Th 元素计数率分布图对比有较高的一致性。与传统伽玛谱去噪算法比较，聚类NASVD算法能有效地去除统计涨落噪声影响，提取出嫦娥二号伽玛谱中的特征峰信息。

The distribution of thorium on the lunar surface provides the important evidence for lunar evolution history. It is difficult to obtain the distribution of thorium on the lunar surface from CE2-GRS because of noise in the spectrum. The method for smoothing the spectrum is proposed which is based on cluster NASVD. The counting rate map of thorium on the lunar surface is achieved from CE2-GRS. Counting rate map of thorium gamma-rays shows a surface thorium distribution that is in general agreement with other measurement from LP-GRS and SLENE GRS which have better accuracy. It is more effectively to reduce the noise and get the weak information of characteristic peak used the method of cluster NASVD than other traditional methods for smoothing gamma-ray spectrum.