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| 摘要: |
| 本文研究了图像去噪的问题.利用光滑余因子协调法，构造了样条空间S64（△mn（2））中的二元六次样条函数，以此作为尺度函数，并基于酉延拓定理，构造了非张量积小波紧框架.利用构造的非张量积小波紧框架，提出了基于香农熵自适应确定最优小波紧框架分解层数以及改进的NormalShrink自适应阈值算法，并给出了图像去噪实例和结果分析，获得了理想的数值结果，显示了本文方法的有效性. |
| 关键词: 非张量积小波紧框架 最优分解层数 自适应阈值 图像去噪 |
| DOI： |
| 分类号:O29 |
| 基金项目:国家自然科学基金面上项目（11671307）. |
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| SELF-ADAPTIVE NON-TENSOR PRODUCT TIGHT WAVELET FRAME IMAGE DENOISING |
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HUANG Su-ying,YI Xu-ming
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| Abstract: |
| In this paper, we research the problem of image denoising. Via the use of the smoothing cofactor-conformality method, it constructs the bivariate and sextic spline function in spline space S64(△mn(2)), and while do it as scaling function, the non-tensor product tight wavelet frame is constructed based on the unitary extension principe. Then we propose the algorithm of the optimal decomposition levels of tight wavelet frame is self-adaptive determined based on the shannon entropy and the modified NormalShrink self-adaptive threshold algo-rithm by using the non-tensor product tight wavelet frame above, and offer the cases of image denoising and result analysis. The ideal numerical results are obtained, which verify the validity of this algorithm. |
| Key words: non-tensor product tight wavelet frame optimal decomposition levels NormalShrink self-adaptive threshold image denoising |
