Application of shearlet and wavelets in signal and image denoising. (Chinese. English summary) Zbl 1363.42072
Summary: Aiming at the solution to signal and image denoising problems, the sparse representation of signal and image is given based on the theory of wavelet and shearlet. Then a soft threshold algorithm is used to reconstruct the object in order to achieve the denoising. According to different structures of wavelet and shearlet, the denoising processes are analyzed and compared by SNR to evaluate the efficiency. Furthermore, numerical examinations are taken to analyze the influence of vanishing moments to denoising results, which will provide the prior information for how to choose the wavelet basis.
MSC:
| 42C40 | Nontrigonometric harmonic analysis involving wavelets and other special systems |
| 94A08 | Image processing (compression, reconstruction, etc.) in information and communication theory |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
