侯娟, 李志农. 小波变换压缩感知在断口图像重构中的应用研究[J]. 南昌航空大学学报(自然科学版), 2017, 31(1): 41-46,54. DOI: 10.3969/j.issn.1001-4926.2017.01.007
引用本文: 侯娟, 李志农. 小波变换压缩感知在断口图像重构中的应用研究[J]. 南昌航空大学学报(自然科学版), 2017, 31(1): 41-46,54. DOI: 10.3969/j.issn.1001-4926.2017.01.007
HOU Juan, LI Zhi-nong. Application of Wavelet Transform Compressed Sensing in Reconstruction of Fracture Image[J]. Journal of nanchang hangkong university(Natural science edition), 2017, 31(1): 41-46,54. DOI: 10.3969/j.issn.1001-4926.2017.01.007
Citation: HOU Juan, LI Zhi-nong. Application of Wavelet Transform Compressed Sensing in Reconstruction of Fracture Image[J]. Journal of nanchang hangkong university(Natural science edition), 2017, 31(1): 41-46,54. DOI: 10.3969/j.issn.1001-4926.2017.01.007

小波变换压缩感知在断口图像重构中的应用研究

Application of Wavelet Transform Compressed Sensing in Reconstruction of Fracture Image

  • 摘要: 基于小波变换压缩感知的独特优势,即小波系数的稀疏性和突破奈奎斯特采样定理的局限性,将小波变换压缩感知应用于到断口图像的处理中,提出了基于小波变换压缩感知的金属断口图像重构方法。该方法利用小波变换对断口图像进行稀疏采样,然后,设计随机测量矩阵对图像进行压缩,最后,通过OMP或ROMP算法对断口图像进行重构。同时,对比分析了OMP和ROMP两种重构算法。研究结果表明,在压缩比达到一定程度时,两种重构算法都能得到较好的重构图像,相对来说,ROMP重构算法优于OMP算法,得到了更高的峰值信噪比(PSNR),并且ROMP算法的重构时间大大缩短,且表现较为稳定。

     

    Abstract: Based on the advantages of wavelet transform compression sensing, i.e, the sparsity of wavelet coefficients and the unconstraint of Nyquist sampling theorem, Here, the wavelet transform compression sensing is applied to the fractal image processing, and a reconstruction method of metal fracture image based on wavelet compression sensing is proposed. In the proposed method, the fractal image is sparsely sampled by wavelet transform, and then the random measurement matrix is designed to compress the fractal image. Finally, the fractal image is reconstructed by OMP or ROMP algorithm. At the same time, the two reconstruction algorithms are compared. The results show that the two reconstruction algorithms can obtain better reconstructed images when the compression ratio reaches a certain level. Comparing with the OMP algorithm, the ROMP reconstruction algorithm has higher peak signal-to-noise ratio (PSNR), and the reconstruction time of ROMP algorithm is also greatly shortened and the performance is stable.

     

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