| 引用本文: | 李财莲,李志先,孙即祥,等.一种新的小波收缩统一阈值函数.[J].国防科技大学学报,2012,34(1):155-159.[点击复制] |
| LI Cailian,LI Zhixian,SUN Jixiang,et al.A New uniform threshold function of wave-shrink[J].Journal of National University of Defense Technology,2012,34(1):155-159[点击复制] |
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| 一种新的小波收缩统一阈值函数 |
| 李财莲1, 李志先2, 孙即祥1, 康耀红3 |
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(1.国防科技大学 电子科学与工程学院，湖南 长沙 410073;2.洛阳理工学院 计算机与信息工程系，河南 洛阳 471023;3.海南大学 信息科学技术学院，海南 海口 570228)
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| 摘要: |
| 提出一种新的小波收缩统一阈值函数，并证明了新阈值函数具有收敛性，通过调节可变参数的取值可以改变新阈值函数的趋向，为图像阈值去噪的自适应处理提供了可能。此外，给出了新阈值函数的期望、方差与风险的关系式。仿真结果表明新阈值函数不仅能有效去除噪声，而且比两种经典的阈值函数有更高的灵活性，可以获得更高的信噪比和更好的视觉效果。 |
| 关键词: 小波变换 硬阈值函数 软阈值函数 统一阈值函数 图像去噪 |
| DOI： |
| 投稿日期：2011-05-30 |
| 基金项目:国家自然科学基金资助项目(40901216) |
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| A New uniform threshold function of wave-shrink |
| LI Cailian1, LI Zhixian2, SUN Jixiang1, KANG Yaohong3 |
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(1.College of Electronic Science and Technology, National University of Defense Technology, Changsha 410073, China;2.Department of Computer and Information Engineering, Luoyang Institute of Science and Technology, Luoyang, 471023, China;3.Information Science Technology College, Hainan University, Haikou 570228, China)
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| Abstract: |
| A new uniform threshold function of wave-shrink for image denoising is proposed. The new function has the advantage of satisfying the shrinkage condition. By changing the parameter u,we can change the trend of this new function, which makes it possible to find an adaptive method whenever using the wavelet shrinkage method for image denoising. Finally, efficient formulas for computing mean , variance and risk of the new uniform threshold function are derived. Numerical experiments and comparative studies are performed, demonstrating the effectiveness of our threshold function. Additionally, the proposed new function can also give better performance in terms of both PSNR and in visual quality. |
| Keywords: wavelet transform hard-threshold function soft-threshold function uniform threshold function image denoising |
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