Constructing Symmetric-Antisymmetric Multi-wavelets and Transforming Digital Image by Multi-wavelets

[摘要] Multi-wavelet is an effective tool for image processing. In order to provide more wavelet choices for image denoising, coding and enhancement, a symmetric-antisymmetric multi-wavelet algorithm based on symmetric or nearly symmetric single wavelet is proposed, and the two-fold symmetric-antisymmetric multi-wavelet constructed by this algorithm is applied to digital image processing. Theoretically, this algorithm can construct arbitrary multiple symmetric-antisymmetric multi-wavelets and obtain quantitative coefficients of multi-wavelet filters. Multi-wavelets constructed by this algorithm are used to decompose and reconstruct digital images. The results show that the low-frequency components of the decomposed images account for 99.52% of the total, and the MSNR of the restored images can reach 88.4096 dB, 18.2928 dB higher than the classical multi-wavelet CL 2.

[发布机构] School of Electronic Engineering, Jiujiang University, No. 551 Qianjin East Road, Jiujiang, Jiangxi, China^1

[效力级别] 无线电电子学 [学科分类] 计算机科学（综合）

[关键词] Anti-symmetric;Digital image;Effective tool;Low-frequency components;Multi-wavelets