摘要
考虑到奇异值分解涉及的理论性较强,试图从奇异值分解的基本原理出发,通过图像压缩与恢复和图像降噪2个具体的实例,结合MATLAB数学软件来阐述奇异值分解的作用,注重应用奇异值分解理论解决相关的实际问题,以期加深学生对奇异分解理论的理解,领会奇异值分解的意义和价值.
Considering the abstract of the SVD, based on the basis principle of SVD, the two examples, the image compression and restoration and image de-noising by MATLAB software, were used to elucidate the function of SVD. Our study emphasizes on applying the theory of SVD to solve the practical problems. The purpose of this paper is to help students to understand the theoretical and practical values of SVD.
出处
《海南大学学报（自然科学版）》
CAS
2015年第4期391-395,共5页
Natural Science Journal of Hainan University
基金
国家自然科学基金数学天元基金(11426210)
湖北省教学研究项目("问题解决"教学模式在高等数学课堂教学中的运用研究)(2012139)
关键词
奇异值分解
图像压缩恢复
图像降噪
Singular Value Decomposition
image compression and restoration
image de-noising
