An Image Denoising Method with Enhancement of the Directional Features Based on Wavelet and SVD Transforms

作者：Wang, Min; Li, Zhen; Duan, Xiangjun^*; Li, Wei

来源：Mathematical Problems in Engineering, 2015, 2015: 469350.

DOI：10.1155/2015/469350

This paper proposes an image denoising method, using the wavelet transform and the singular value decomposition (SVD), with the enhancement of the directional features. First, use the single-level discrete 2D wavelet transform to decompose the noised image into the low-frequency image part and the high-frequency parts (the horizontal, vertical, and diagonal parts), with the edge extracted and retained to avoid edge loss. Then, use the SVD to filter the noise of the high-frequency parts with image rotations and the enhancement of the directional features: to filter the diagonal part, one needs first to rotate it 45 degrees and rotate it back after filtering. Finally, reconstruct the image from the low-frequency part and the filtered high-frequency parts by the inverse wavelet transform to get the final denoising image. Experiments show the effectiveness of this method, compared with relevant methods.

• 出版日期2015
• 单位中国人民解放军陆军工程大学; 南京大学